Liste der Krypto-Mining-Algorithmen – BitcoinWiki

@BinanceResearch: RT @binance: #binance Adds Open-Source Implementation for Edwards-Curve Digital Signature Algorithm (EdDSA) in the TSS Library The library is compatible with ECDSA-based blockchains, including Binance Chain, #Bitcoin, and @ethereum networks. https://t.co/xNILYim9EV

@BinanceResearch: RT @binance: #binance Adds Open-Source Implementation for Edwards-Curve Digital Signature Algorithm (EdDSA) in the TSS Library The library is compatible with ECDSA-based blockchains, including Binance Chain, #Bitcoin, and @ethereum networks. https://t.co/xNILYim9EV submitted by rulesforrebels to BinanceTrading [link] [comments]

@binance: #binance Adds Open-Source Implementation for Edwards-Curve Digital Signature Algorithm (EdDSA) in the TSS Library The library is compatible with ECDSA-based blockchains, including Binance Chain, #Bitcoin, and @ethereum networks. https://t.co/xNILYim9EV

@binance: #binance Adds Open-Source Implementation for Edwards-Curve Digital Signature Algorithm (EdDSA) in the TSS Library The library is compatible with ECDSA-based blockchains, including Binance Chain, #Bitcoin, and @ethereum networks. https://t.co/xNILYim9EV submitted by rulesforrebels to BinanceTrading [link] [comments]

Interactive explanation of Public-Key Encryption by RSA Algorithm (Bitcoin uses ECDSA instead of RSA)

submitted by f00000000 to CryptocurrencySA [link] [comments]

Is it possible, using Assembler programming language to write a better ECDSA? + Can Bitcoin have a backup signing algorithm?

http://satoshi.nakamotoinstitute.org/emails/cryptography/2/#selection-87.57-89.48
Is it compact enough?
This is hypothetical question, but anyway it seems for me to be very interesting solution for blocksize problem.
I saw many ASM enthusiasts written huge, awesome 3D games in 4K executable file and in 64k executable files.
I'm just thinking, what if someone would come up with a solution for reducing transaction signature sizes from 400 bytes to 32 bytes.
Just hypothetically: let's say we already have secure signature ECDSA-like algorithm with average transactions sizes ~32 bytes, to implement it - does anything need to be changed in blockchain too in order to see the impact? Does the additional signature algorithm will be a soft-fork or a hard-fork?
If someone would come up with such optimization, could Bitcoin network innovate by adopting this algorithm along with ECDSA? (Can blockchain have 2 signing algorithms simultaneously?)
submitted by efxco to Bitcoin [link] [comments]

Introduction to Elliptic-Curve-Crypto - Elliptic Curve Digital Signature Algorithm or ECDSA is a cryptographic algorithm used by Bitcoin to ensure that funds can only be spent by their rightful owners

submitted by bitcoinagile to Bitcoin [link] [comments]

[CCS Results] Monero Atomic Swaps research

Hi Monero community!
Two months ago I posted a CCS for continuing my research on Monero Atomic Swaps. That research is now complete and I'm happy to present my results.
This post will be a summary of my research, but you can also find the whitepaper that describes the full protocol and all the details here.

Shiny BTC/XMR Atomic Swap Protocol!

We found it! With the help of the MRL, my colleagues, and the community, we created the first (to our knowledge) protocol to atomically swap bitcoin and monero. And this resulting protocol is implementable today - no more obscure crypto!

Why now? What changed?

When I started studying Monero for a Bitcoin/Monero atomic swap three and a half years ago, most of the swap protocols where based on 'Hash Time Locked Contract' (HTLC), something that we all know as non-existent on Monero. So the goal at the beginning of the project was to create an atomic swap where all the logic (timeouts, possible sequences of operation, secret disclosures, etc) is managed on the other chain: the Bitcoin chain.
The second difficulty with Monero and Bitcoin is their respective underlying cryptographic parameters: they don't share the same elliptic curve, they don't share the same signing algorithm; they have nothing in common! This makes the pair a bad candidate for other types of atomic swap that don't (solely) rely on HTLC.
In November 2018 we came up with a draft protocol that respects the above constraints. Thus, the protocol requires a specific type of zero-knowledge proof to be trustless: a hash pre-image zero-knowledge proof. This type of zkp is not wildly used in practice, if at all. Thus the protocol works in theory, but with some obscure crypto, making the protocol a bad candidate for an implementation.
In early 2020, after presenting the draft protocol at 36C3 in December 2019, I discovered, by reference from Sarang Noether (MRL), Andrew Poelstra's idea of doing a discrete logarithm equality across group zero-knowledge proof of knowledge (MRL-0010), meaning that we can prove some relations between elements in two different groups (two curves to simplify) and the paper by LLoyd Fournier on One-Time Verifiably Encrypted Signatures allowing secret disclosure with ECDSA.
With these two new (to me) cryptographic primitives, we were able to replace the previous zero-knowledge proof with a combination of the latter, making the protocol complete and practically feasible.

How it works

As a broad overview (and simplified) the protocol work as follow:
If the swap succeeds, A reveals to B, and if the swap is cancelled, B reveals to A. (We have a third scenario explained in the paper to force reaction and avoid deadlock.)

Next steps

The obvious next step would be to have a working implementation on mainnet, but a ready-to-use implementation that is also robust and safe-to-use requires a lot of engineering work. Furthermore, even though the cryptography is not too obscure, most of it still also lacks an implementation.
I'll post soon, if the community wants it, a CCS proposal to get my team and I to work on implementing this protocol, step by step, with the end goal of creating a working client/daemon for swapping Bitcoin and Monero. It would be very exciting to build that!

Conclusion

Thanks to the MRL and its researchers for their help, the CCS team, and the community for its support!
I hope I fulfilled the community's expectations for my my first CCS - all feedback is appreciated.
submitted by h4sh3d to Monero [link] [comments]

The implementation of the Schnorr/Taproot consensus rules has been merged into Bitcoin Core.

What Are Schnorr and Taproot?
Schnorr is an alternative algorithm to ECDSA, which is currently used to generate cryptographic signatures. Schnorr signatures would enable the flexible creation and execution of multisignature transactions by combining scripts to reduce their size and provide the subsequent benefit of added privacy, as multisignature transactions would become indistinguishable from regular Bitcoin transactions.
Taproot is the specific method in which Schnorr signatures will be leveraged to create multisignature transactions. It was first proposed by former Blockstream CTO Gregory Maxwell in the Bitcoin-dev mailing list. Since then, several iterations have taken place, leading to the pull request that was merged today.
Bitcoin’s Future: Exactly How a Coming Upgrade Could Improve Privacy and Scaling
submitted by mishax1 to CryptoCurrency [link] [comments]

[ANN] RustCrypto: `k256` and `p256` v0.2.0: pure Rust secp256k1 and NIST P-256 ECDH and ECDSA (no_std/embedded-friendly)

Announcing v0.4.0 releases of these RustCrypto elliptic curve crates:
(see also ecdsa v0.7 and p384 v0.3)
The major notable new features in these releases are:

Elliptic Curve Diffie-Hellman

Key exchange protocol which establishes a shared secret between two parties.

Elliptic Curve Digital Signature Algorithm

Pervasively used public-key scheme for authenticating messages.

Notes on this release

These crates contain experimental pure Rust implementations of scalafield arithmetic for the respective elliptic curves (secp256k1, NIST P-256). These implementations are new, unaudited, and haven't received much public scrutiny. We have explicitly labeled them as being at a "USE AT YOUR OWN RISK" level of maturity.
That said, these implementations utilize the best modern practices for this class of elliptic curves (complete projective formulas providing constant time scalar multiplication).
In particular:
This release has been a cross-functional effort, with contributions from some of the best Rust elliptic curve cryptography experts. I'd like to thank everyone who's contributed, and hope that these crates are useful, especially for embedded cryptography and cryptocurrency use cases.
EDIT: the version in the title is incorrect. The correct version is v0.4.0, unfortunately the title cannot be edited.
submitted by bascule to rust [link] [comments]

quantum computers ... soft fork...

> In light of the emerging threat of powerful quantum computers appearing in the near future, we investigate the potential attacks on Bitcoin available to a quantum-capable adversary. In particular, we illustrate how Shor’s quantum algorithm can be used to forge ECDSA based signatures, allowing attackers to hijack transactions. We then propose a simple commit–delay–reveal protocol, which allows users to securely move their funds from non-quantum-resistant outputs to those adhering to a quantum-resistant digital signature scheme. In a previous paper (Stewart et al. R. Soc. Open Sci. 5(6), 180410 (2018)) [1] we presented a similar scheme with a long fixed delay. Here we improve on our previous work, by allowing each user to choose their preferred delay–long for a low risk of attack, or short if a higher risk is acceptable to that user. As before, our scheme requires modifications to the Bitcoin protocol, but once again these can be implemented as a soft fork.

https://link.springer.com/chapte10.1007/978-3-030-37110-4_9

isn't every update COULD be a SOFT OR a HARD fork?
submitted by Soggy_Patience to Bitcoin [link] [comments]

Anyswap - A completely decentralized swap exchange the supports all your coins

Hello crypto enthusiasts,
After the recent run up of DEFI products and massive price movements, I’ve come across an innovative product with tremendous upside potential. If you have used Uniswap in the past, and are bound to only swapping Ethereum with Ethereum based tokens, a pressing problem arises... ‘How come I can’t use my Bitcoin, XRP, Litecoin, etc. to make the swap? Why do I have to trade into Ether, to gain access to these tokens?’
Enter Anyswap...
Anyswap
Anyswap is the first completely decentralized swap exchange that will allow you to use any coin or tokens (ECDSA and EDDSA as signature algorithms - 98% of all blockchains) with one another. No third party risk.
The ANY token issued is a governance token, which will allow voting rights for holders to choose which coins will be listed next. No ICO, no fund raising, no airdrop, no premine. Get em while there hot.
Mark your calendar... July 20th 2020, ANY token will be available for purchase. Join their telegram group for more info Anyswap TG
Thanks for listening. And to the mooooon 🚀🚀🚀
submitted by g_marc to CryptoMoonShots [link] [comments]

Thanks to all who submitted questions for Shiv Malik in the GAINS AMA yesterday, it was great to see so much interest in Data Unions! You can read the full transcript here:

Thanks to all who submitted questions for Shiv Malik in the GAINS AMA yesterday, it was great to see so much interest in Data Unions! You can read the full transcript here:

Gains x Streamr AMA Recap

https://preview.redd.it/o74jlxia8im51.png?width=1236&format=png&auto=webp&s=93eb37a3c9ed31dc3bf31c91295c6ee32e1582be
Thanks to everyone in our community who attended the GAINS AMA yesterday with, Shiv Malik. We were excited to see that so many people attended and gladly overwhelmed by the amount of questions we got from you on Twitter and Telegram. We decided to do a little recap of the session for anyone who missed it, and to archive some points we haven’t previously discussed with our community. Happy reading and thanks to Alexandre and Henry for having us on their channel!
What is the project about in a few simple sentences?
At Streamr we are building a real-time network for tomorrow’s data economy. It’s a decentralized, peer-to-peer network which we are hoping will one day replace centralized message brokers like Amazon’s AWS services. On top of that one of the things I’m most excited about are Data Unions. With Data Unions anyone can join the data economy and start monetizing the data they already produce. Streamr’s Data Union framework provides a really easy way for devs to start building their own data unions and can also be easily integrated into any existing apps.
Okay, sounds interesting. Do you have a concrete example you could give us to make it easier to understand?
The best example of a Data Union is the first one that has been built out of our stack. It's called Swash and it's a browser plugin.
You can download it here: http://swashapp.io/
And basically it helps you monetize the data you already generate (day in day out) as you browse the web. It's the sort of data that Google already knows about you. But this way, with Swash, you can actually monetize it yourself. The more people that join the union, the more powerful it becomes and the greater the rewards are for everyone as the data product sells to potential buyers.
Very interesting. What stage is the project/product at? It's live, right?
Yes. It's live. And the Data Union framework is in public beta. The Network is on course to be fully decentralized at some point next year.
How much can a regular person browsing the Internet expect to make for example?
So that's a great question. The answer is no one quite knows yet. We do know that this sort of data (consumer insights) is worth hundreds of millions and really isn't available in high quality. So With a union of a few million people, everyone could be getting 20-50 dollars a year. But it'll take a few years at least to realise that growth. Of course Swash is just one data union amongst many possible others (which are now starting to get built out on our platform!)
With Swash, I believe they now have 3,000 members. They need to get to 50,000 before they become really viable but they are yet to do any marketing. So all that is organic growth.
I assume the data is anonymized btw?
Yes. And there in fact a few privacy protecting tools Swash supplys to its users.
How does Swash compare to Brave?
So Brave really is about consent for people's attention and getting paid for that. They don't sell your data as such.
Swash can of course be a plugin with Brave and therefore you can make passive income browsing the internet. Whilst also then consenting to advertising if you so want to earn BAT.
Of course it's Streamr that is powering Swash. And we're looking at powering other DUs - say for example mobile applications.
The holy grail might be having already existing apps and platforms out there, integrating DU tech into their apps so people can consent (or not) to having their data sold - and then getting a cut of that revenue when it does sell.
The other thing to recognise is that the big tech companies monopolise data on a vast scale - data that we of course produce for them. That is stifling innovation.
Take for example a competitor map app. To effectively compete with Google maps or Waze, they need millions of users feeding real time data into it.
Without that - it's like Google maps used to be - static and a bit useless.
Right, so how do you convince these big tech companies that are producing these big apps to integrate with Streamr? Does it mean they wouldn't be able to monetize data as well on their end if it becomes more available through an aggregation of individuals?
If a map application does manage to scale to that level then inevitably Google buys them out - that's what happened with Waze.
But if you have a data union which bundles together the raw location data of millions of people then any application builder can come along and license that data for their app. This encourages all sorts of innovation and breaks the monopoly.
We're currently having conversations with Mobile Network operators to see if they want to pilot this new approach to data monetization. And that's what even more exciting. Just be explicit with users - do you want to sell your data? Okay, if yes, then which data point do you want to sell.
Then the mobile network operator (like T-mobile for example) then organises the sale of the data of those who consent and everyone gets a cut.
Streamr - in this example provides the backend to port and bundle the data, and also the token and payment rail for the payments.
So for big companies (mobile operators in this case), it's less logistics, handing over the implementation to you, and simply taking a cut?
It's a vision that we'll be able to talk more about more concretely in a few weeks time 😁
Compared to having to make sense of that data themselves (in the past) and selling it themselves
Sort of.
We provide the backened to port the data and the template smart contracts to distribute the payments.
They get to focus on finding buyers for the data and ensuring that the data that is being collected from the app is the kind of data that is valuable and useful to the world.
(Through our sister company TX, we also help build out the applications for them and ensure a smooth integration).
The other thing to add is that the reason why this vision is working, is that the current data economy is under attack. Not just from privacy laws such as GDPR, but also from Google shutting down cookies, bidstream data being investigated by the FTC (for example) and Apple making changes to IoS14 to make third party data sharing more explicit for users.
All this means that the only real places for thousands of multinationals to buy the sort of consumer insights they need to ensure good business decisions will be owned by Google/FB etc, or from SDKs or through this method - from overt, rich, consent from the consumer in return for a cut of the earnings.
A couple of questions to get a better feel about Streamr as a whole now and where it came from. How many people are in the team? For how long have you been working on Streamr?
We are around 35 people with one office in Zug, Switzerland and another one in Helsinki. But there are team members all over the globe, we’ve people in the US, Spain, the UK, Germany, Poland, Australia and Singapore. I joined Streamr back in 2017 during the ICO craze (but not for that reason!)
And did you raise funds so far? If so, how did you handle them? Are you planning to do any future raises?
We did an ICO back in Sept/Oct 2017 in which we raised around 30 Millions CHF. The funds give us enough runway for around five/six years to finalize our roadmap. We’ve also simultaneously opened up a sister company consultancy business, TX which helps enterprise clients implementing the Streamr stack. We've got no more plans to raise more!
What is the token use case? How did you make sure it captures the value of the ecosystem you're building
The token is used for payments on the Marketplace (such as for Data Union products for example) also for the broker nodes in the Network. ( we haven't talked much about the P2P network but it's our project's secret sauce).
The broker nodes will be paid in DATAcoin for providing bandwidth. We are currently working together with Blockscience on our tokeneconomics. We’ve just started the second phase in their consultancy process and will be soon able to share more on the Streamr Network’s tokeneconoimcs.
But if you want to summate the Network in a sentence or two - imagine the Bittorrent network being run by nodes who get paid to do so. Except that instead of passing around static files, it's realtime data streams.
That of course means it's really well suited for the IoT economy.
Well, let's continue with questions from Twitter and this one comes at the perfect time. Can Streamr Network be used to transfer data from IOT devices? Is the network bandwidth sufficient? How is it possible to monetize the received data from a huge number of IOT devices? From u/ EgorCypto
Yes, IoT devices are a perfect use case for the Network. When it comes to the network’s bandwidth and speed - the Streamr team just recently did extensive research to find out how well the network scales.
The result was that it is on par with centralized solutions. We ran experiments with network sizes between 32 to 2048 nodes and in the largest network of 2048 nodes, 99% of deliveries happened within 362 ms globally.
To put these results in context, PubNub, a centralized message brokering service, promises to deliver messages within 250 ms — and that’s a centralized service! So we're super happy with those results.
Here's a link to the paper:
https://medium.com/streamrblog/streamr-network-performance-and-scalability-whitepaper-adb461edd002
While we're on the technical side, second question from Twitter: Can you be sure that valuable data is safe and not shared with service providers? Are you using any encryption methods? From u/ CryptoMatvey
Yes, the messages in the Network are encrypted. Currently all nodes are still run by the Streamr team. This will change in the Brubeck release - our last milestone on the roadmap - when end-to-end encryption is added. This release adds end-to-end encryption and automatic key exchange mechanisms, ensuring that node operators can not access any confidential data.
If BTW - you want to get very technical the encryption algorithms we are using are: AES (AES-256-CTR) for encryption of data payloads, RSA (PKCS #1) for securely exchanging the AES keys and ECDSA (secp256k1) for data signing (same as Bitcoin and Ethereum).
Last question from Twitter, less technical now :) In their AMA ad, they say that Streamr has three unions, Swash, Tracey and MyDiem. Why does Tracey help fisherfolk in the Philippines monetize their catch data? Do they only work with this country or do they plan to expand? From u/ alej_pacedo
So yes, Tracey is one of the first Data Unions on top of the Streamr stack. Currently we are working together with the WWF-Philippines and the UnionBank of the Philippines on doing a first pilot with local fishing communities in the Philippines.
WWF is interested in the catch data to protect wildlife and make sure that no overfishing happens. And at the same time the fisherfolk are incentivized to record their catch data by being able to access micro loans from banks, which in turn helps them make their business more profitable.
So far, we have lots of interest from other places in South East Asia which would like to use Tracey, too. In fact TX have already had explicit interest in building out the use cases in other countries and not just for sea-food tracking, but also for many other agricultural products.
(I think they had a call this week about a use case involving cows 😂)
I recall late last year, that the Streamr Data Union framework was launched into private beta, now public beta was recently released. What are the differences? Any added new features? By u/ Idee02
The main difference will be that the DU 2.0 release will be more reliable and also more transparent since the sidechain we are using for micropayments is also now based on blockchain consensus (PoA).
Are there plans in the pipeline for Streamr to focus on the consumer-facing products themselves or will the emphasis be on the further development of the underlying engine?by u/ Andromedamin
We're all about what's under the hood. We want third party devs to take on the challenge of building the consumer facing apps. We know it would be foolish to try and do it all!
As a project how do you consider the progress of the project to fully developed (in % of progress plz) by u/ Hash2T
We're about 60% through I reckon!
What tools does Streamr offer developers so that they can create their own DApps and monetize data?What is Streamr Architecture? How do the Ethereum blockchain and the Streamr network and Streamr Core applications interact? By u/ CryptoDurden
We'll be releasing the Data UNion framework in a few weeks from now and I think DApp builders will be impressed with what they find.
We all know that Blockchain has many disadvantages as well,
So why did Streamr choose blockchain as a combination for its technology?
What's your plan to merge Blockchain with your technologies to make it safer and more convenient for your users? By u/ noonecanstopme
So we're not a blockchain ourselves - that's important to note. The P2P network only uses BC tech for the payments. Why on earth for example would you want to store every single piece of info on a blockchain. You should only store what you want to store. And that should probably happen off chain.
So we think we got the mix right there.
What were the requirements needed for node setup ? by u/ John097
Good q - we're still working on that but those specs will be out in the next release.
How does the STREAMR team ensure good data is entered into the blockchain by participants? By u/ kartika84
Another great Q there! From the product buying end, this will be done by reputation. But ensuring the quality of the data as it passes through the network - if that is what you also mean - is all about getting the architecture right. In a decentralised network, that's not easy as data points in streams have to arrive in the right order. It's one of the biggest challenges but we think we're solving it in a really decentralised way.
What are the requirements for integrating applications with Data Union? What role does the DATA token play in this case? By u/ JP_Morgan_Chase
There are no specific requirements as such, just that your application needs to generate some kind of real-time data. Data Union members and administrators are both paid in DATA by data buyers coming from the Streamr marketplace.
Regarding security and legality, how does STREAMR guarantee that the data uploaded by a given user belongs to him and he can monetize and capitalize on it? By u/ kherrera22
So that's a sort of million dollar question for anyone involved in a digital industry. Within our system there are ways of ensuring that but in the end the negotiation of data licensing will still, in many ways be done human to human and via legal licenses rather than smart contracts. at least when it comes to sizeable data products. There are more answers to this but it's a long one!
Okay thank you all for all of those!
The AMA took place in the GAINS Telegram group 10/09/20. Answers by Shiv Malik.
submitted by thamilton5 to streamr [link] [comments]

CRA Plan for Cryptocurrency Spells Death by Taxation

CRA Plan for Cryptocurrency Spells Death by Taxation submitted by LibDragonfly to metacanada [link] [comments]

ABCMint is a quantum resistant cryptocurrency with the Rainbow Multivariable Polynomial Signature Scheme.

Good day, the price is going up to 0.3USDT.

ABCMint Second Foundation

ABCMint has been a first third-party organization that focuses on post-quantum cryptography research and technology and aims to help improve the ecology of ABCMint technology since 2018.


https://abcmintsf.com

https://abcmintsf.com/exchange


What is ABCMint?

ABCMint is a quantum resistant cryptocurrency with the Rainbow Multivariable Polynomial Signature Scheme.

Cryptocurrencies and blockchain technology have attracted a significant amount of attention since 2009. While some cryptocurrencies, including Bitcoin, are used extensively in the world, these cryptocurrencies will eventually become obsolete and be replaced when the quantum computers avail. For instance, Bitcoin uses the elliptic curved signature (ECDSA). If a bitcoin user?s public key is exposed to the public chain, the quantum computers will be able to quickly reverse-engineer the private key in a short period of time. It means that should an attacker decide to use a quantum computer to decrypt ECDSA, he/she will be able to use the bitcoin in the wallet.

The ABCMint Foundation has improved the structure of the special coin core to resist quantum computers, using the Rainbow Multivariable Polynomial Signature Scheme, which is quantum resisitant, as the core. This is a fundamental solution to the major threat to digital money posed by future quantum computers. In addition, the ABCMint Foundation has implemented a new form of proof of arithmetic (mining) "ABCardO" which is different from Bitcoin?s arbitrary mining. This algorithm is believed to be beneficial to the development of the mathematical field of multivariate.


Rainbow Signature - the quantum resistant signature based on Multivariable Polynomial Signature Scheme

Unbalanced Oil and Vinegar (UOV) is a multi-disciplinary team of experts in the field of oil and vinegar. One of the oldest and most well researched signature schemes in the field of variable cryptography. It was designed by J. Patarin in 1997 and has withstood more than two decades of cryptanalysis. The UOV scheme is a very simple, smalls and fast signature. However, the main drawback of UOV is the large public key, which will not be conducive to the development of block practice technology.

The rainbow signature is an improvement on the oil and vinegar signature which increased the efficiency of unbalanced oil and vinegar. The basic concept is a multi-layered structure and generalization of oil and vinegar.


PQC - Post Quantum Cryptography

The public key cryptosystem was a breakthrough in modern cryptography in the late 1970s. It has become an increasingly important part of our cryptography communications network over The Internet and other communication systems rely heavily on the Diffie-Hellman key exchange, RSA encryption, and the use of the DSA, ECDSA or related algorithms for numerical signatures. The security of these cryptosystems depends on the difficulty level of number theory problems such as integer decomposition and discrete logarithm problems. In 1994, Peter Shor demonstrated that quantum computers can solve all these problems in polynomial time, which made this security issue related to the cryptosystems theory irrelevant. This development is known as the "post-quantum cryptography" (PQC)

In August 2015, the U.S. National Security Agency (NSA) released an announcement regarding its plans to transition to quantum-resistant algorithms. In December 2016, the National Institute of Standards and Technology (NIST) announced a call for proposals for quantum-resistant algorithms. The deadline was November 30, 2017, which also included the rainbow signatures used for ABCMint.
submitted by WrapBeautiful to ABCMint [link] [comments]

ECDSA In Bitcoin

Digital signatures are considered the foundation of online sovereignty. The advent of public-key cryptography in 1976 paved the way for the creation of a global communications tool – the Internet, and a completely new form of money – Bitcoin. Although the fundamental properties of public-key cryptography have not changed much since then, dozens of different open-source digital signature schemes are now available to cryptographers.

How ECDSA was incorporated into Bitcoin

When Satoshi Nakamoto, a mystical founder of the first crypto, started working on Bitcoin, one of the key points was to select the signature schemes for an open and public financial system. The requirements were clear. An algorithm should have been widely used, understandable, safe enough, easy, and, what is more important, open-sourced.
Of all the options available at that time, he chose the one that met these criteria: Elliptic Curve Digital Signature Algorithm, or ECDSA.
At that time, native support for ECDSA was provided in OpenSSL, an open set of encryption tools developed by experienced cipher banks in order to increase the confidentiality of online communications. Compared to other popular schemes, ECDSA had such advantages as:
These are extremely useful features for digital money. At the same time, it provides a proportional level of security: for example, a 256-bit ECDSA key has the same level of security as a 3072-bit RSA key (Rivest, Shamir и Adleman) with a significantly smaller key size.

Basic principles of ECDSA

ECDSA is a process that uses elliptic curves and finite fields to “sign” data in such a way that third parties can easily verify the authenticity of the signature, but the signer himself reserves the exclusive opportunity to create signatures. In the case of Bitcoin, the “data” that is signed is a transaction that transfers ownership of bitcoins.
ECDSA has two separate procedures for signing and verifying. Each procedure is an algorithm consisting of several arithmetic operations. The signature algorithm uses the private key, and the verification algorithm uses only the public key.
To use ECDSA, such protocol as Bitcoin must fix a set of parameters for the elliptic curve and its finite field, so that all users of the protocol know and apply these parameters. Otherwise, everyone will solve their own equations, which will not converge with each other, and they will never agree on anything.
For all these parameters, Bitcoin uses very, very large (well, awesomely incredibly huge) numbers. It is important. In fact, all practical applications of ECDSA use huge numbers. After all, the security of this algorithm relies on the fact that these values are too large to pick up a key with a simple brute force. The 384-bit ECDSA key is considered safe enough for the NSA's most secretive government service (USA).

Replacement of ECDSA

Thanks to the hard work done by Peter Wuille (a famous cryptography specialist) and his colleagues on an improved elliptical curve called secp256k1, Bitcoin's ECDSA has become even faster and more efficient. However, ECDSA still has some shortcomings, which can serve as a sufficient basis for its complete replacement. After several years of research and experimentation, a new signature scheme was established to increase the confidentiality and efficiency of Bitcoin transactions: Schnorr's digital signature scheme.
Schnorr's signature takes the process of using “keys” to a new level. It takes only 64 bytes when it gets into the block, which reduces the space occupied by transactions by 4%. Since transactions with the Schnorr signature are the same size, this makes it possible to pre-calculate the total size of the part of the block that contains such signatures. A preliminary calculation of the block size is the key to its safe increase in the future.
Keep up with the news of the crypto world at CoinJoy.io Follow us on Twitter and Medium. Subscribe to our YouTube channel. Join our Telegram channel. For any inquiries mail us at [[email protected]](mailto:[email protected]).
submitted by CoinjoyAssistant to btc [link] [comments]

The NSA Backdoor question....

So over a lunch conversation with a nocoiner I got what i thought sounded like a far fetched conspiracy theory, went a little like this... "Mmm yeah I reckon the NSA has a backdoor code that would allow them access to any private key simply by looking at the public key" ... I'm used to the "Bitcoin will be hacked" arguement but this seems to be on a different level.
Thoughts? It's a new one for me for sure and not sure how to answer it....
submitted by hungdoge to Bitcoin [link] [comments]

Quantum computing question

I'm thinking about Bitcoin in the long run and how safe my investments are, etc and I have a question about the quantum computing vulnerability. All I really understand is that, with quantum computing, it may be relatively easy to get the private keys to a wallet address. If this problem occurs, Bitcoin could of course hard fork to address the issue, however, wouldn't it still be too late? Even if the community nearly 100% agreed to fork from a time in the past before the first attack occurred, how could a fork possibly allow for new private keys that somehow everyone would be able to know based on their current private keys without those being compromised as well? And asking every single Bitcoin holder to move their funds immediately after a fork seems unfeasible. Isn't the time to fork for quantum resistance now, before a successful attack occurs? Can anyone explain to me definitively how my Bitcoins are protected if Quatum computers become widely available?
submitted by tballz16 to Bitcoin [link] [comments]

Can anyone give us an ELI 9 about quantum computing and whether or not it is a threat to bitcoin's existence?

Hi guys.
Quantum computers exist, yes. But they are not affordable to a majority of people in 2019. So the question is if/when they become affordable, will quantum computers be a security risk to the bitcoin protocol?
submitted by sgtslaughterTV to Bitcoin [link] [comments]

ECDSA In Bitcoin

Digital signatures are considered the foundation of online sovereignty. The advent of public-key cryptography in 1976 paved the way for the creation of a global communications tool – the Internet, and a completely new form of money – Bitcoin. Although the fundamental properties of public-key cryptography have not changed much since then, dozens of different open-source digital signature schemes are now available to cryptographers.

How ECDSA was incorporated into Bitcoin

When Satoshi Nakamoto, a mystical founder of the first crypto, started working on Bitcoin, one of the key points was to select the signature schemes for an open and public financial system. The requirements were clear. An algorithm should have been widely used, understandable, safe enough, easy, and, what is more important, open-sourced.
Of all the options available at that time, he chose the one that met these criteria: Elliptic Curve Digital Signature Algorithm, or ECDSA.
At that time, native support for ECDSA was provided in OpenSSL, an open set of encryption tools developed by experienced cipher banks in order to increase the confidentiality of online communications. Compared to other popular schemes, ECDSA had such advantages as:
These are extremely useful features for digital money. At the same time, it provides a proportional level of security: for example, a 256-bit ECDSA key has the same level of security as a 3072-bit RSA key (Rivest, Shamir и Adleman) with a significantly smaller key size.

Basic principles of ECDSA

ECDSA is a process that uses elliptic curves and finite fields to “sign” data in such a way that third parties can easily verify the authenticity of the signature, but the signer himself reserves the exclusive opportunity to create signatures. In the case of Bitcoin, the “data” that is signed is a transaction that transfers ownership of bitcoins.
ECDSA has two separate procedures for signing and verifying. Each procedure is an algorithm consisting of several arithmetic operations. The signature algorithm uses the private key, and the verification algorithm uses only the public key.
To use ECDSA, such protocol as Bitcoin must fix a set of parameters for the elliptic curve and its finite field, so that all users of the protocol know and apply these parameters. Otherwise, everyone will solve their own equations, which will not converge with each other, and they will never agree on anything.
For all these parameters, Bitcoin uses very, very large (well, awesomely incredibly huge) numbers. It is important. In fact, all practical applications of ECDSA use huge numbers. After all, the security of this algorithm relies on the fact that these values are too large to pick up a key with a simple brute force. The 384-bit ECDSA key is considered safe enough for the NSA's most secretive government service (USA).

Replacement of ECDSA

Thanks to the hard work done by Peter Wuille (a famous cryptography specialist) and his colleagues on an improved elliptical curve called secp256k1, Bitcoin's ECDSA has become even faster and more efficient. However, ECDSA still has some shortcomings, which can serve as a sufficient basis for its complete replacement. After several years of research and experimentation, a new signature scheme was established to increase the confidentiality and efficiency of Bitcoin transactions: Schnorr's digital signature scheme.
Schnorr's signature takes the process of using “keys” to a new level. It takes only 64 bytes when it gets into the block, which reduces the space occupied by transactions by 4%. Since transactions with the Schnorr signature are the same size, this makes it possible to pre-calculate the total size of the part of the block that contains such signatures. A preliminary calculation of the block size is the key to its safe increase in the future.
Keep up with the news of the crypto world at CoinJoy.io Follow us on Twitter and Medium. Subscribe to our YouTube channel. Join our Telegram channel. For any inquiries mail us at [[email protected]](mailto:[email protected]).
submitted by CoinjoyAssistant to Bitcoin [link] [comments]

[Tenant - NY] Qualifying for rent based on Bitcoin assets

I was an early adopter of Bitcoin and my small initial investment has luckily appreciated to the point where I no longer need to work. I'm trying to move to a high-end rental property owned by a mom & pop landlord with a few properties around town.
Of course because of the price tag, especially during the current environment, they're very strict about making sure potential tenants are able to afford the rent. No problem there. My crypto holdings could easily cover the lease for several decades. Normally I suppose it's quite rare for rental tenants to have large asset holdings. So, already this is kind of an unusual situation, as they're more geared for verifying income.
But the good news is they do have a procedure for qualifying tenants based on assets. I'm not sure if they've used it before... But anyway it requires that tenants have 40 times the monthly rent in liquid assets. No problem, I've got *way* more than that. They say all they require is seeing three months of financial statements.
Uhh... The whole point of Bitcoin is that it isn't centralized inside a financial institution. I tried to explain, over the phone to the nice older lady landlord, how the blockchain works, and the basics of public-private encryption. I explained how it's actually very easy to prove ownership of my Bitcoin holdings. All I have to do is give her the address of my holdings, and prove ownership by signing a message with the corresponding ECDSA private keys. At that point all she has to do is check the latest mined block to verify that it contains enough BTC to satisfy her requirements.
I don't see what the problem is here. Unlike sending copies of bank statements, which could easily be forged, this method is *far* more reliable and is literally cryptographically secure. She's acting like I'm some sort of lunatic, when she implicitly trusts the same crypto algorithms 100 times a day in her online banking, shopping and messages.
Anyway, has anyone else been in this position? Either from the tenant or landlord side? I understand cryptocurrency is new technology, but by now surely people must realize Bitcoin isn't some made up fairy dust. I could just move on to a different property, but feel like I'd end up hitting the same wall. Any suggestions for proving to landlords that I'm quite far from a financial risk?
submitted by throwawayTenant2021 to Landlord [link] [comments]

Google and NASA have reached quantum supremacy in a year collaboration. What does it mean for future blockchain security?

As can be read in this article. Although quantum supremacy simply means that at least 1 specific problem has been proven to be solved by a quantum computer that can't be solved (in a realistic timeframe) by any existing classical computer, it is a very important milestone. Many have been skeptical on crossing this milestone at all.
Supremacy does not mean that current cryptography is at risk tomorrow. It does however prove quantum computing is real, and has advantage over classical computers in certain tasks as has always been thought. For blockchain this means that in the future, Shor's algorithm could be used to break ECDSA, the signature scheme that is used in most blockchain. This signature scheme can be upgraded to a quantum resistant signature scheme. It does come with specific challenges though. As opposed to banks, websites, government systems, email services etc, blockchain is decentralized. That makes the following challenges exclusive blockchain challenges:
Consider the full analysis on this subject here
Blockchains that implement quantum resistance from the very beginning, from genesis block, will not face these challenges. See for example QRL which has launched over a year ago.
submitted by QRCollector to CryptoCurrency [link] [comments]

Bitcoin (BTC)A Peer-to-Peer Electronic Cash System.

Bitcoin (BTC)A Peer-to-Peer Electronic Cash System.
  • Bitcoin (BTC) is a peer-to-peer cryptocurrency that aims to function as a means of exchange that is independent of any central authority. BTC can be transferred electronically in a secure, verifiable, and immutable way.
  • Launched in 2009, BTC is the first virtual currency to solve the double-spending issue by timestamping transactions before broadcasting them to all of the nodes in the Bitcoin network. The Bitcoin Protocol offered a solution to the Byzantine Generals’ Problem with a blockchain network structure, a notion first created by Stuart Haber and W. Scott Stornetta in 1991.
  • Bitcoin’s whitepaper was published pseudonymously in 2008 by an individual, or a group, with the pseudonym “Satoshi Nakamoto”, whose underlying identity has still not been verified.
  • The Bitcoin protocol uses an SHA-256d-based Proof-of-Work (PoW) algorithm to reach network consensus. Its network has a target block time of 10 minutes and a maximum supply of 21 million tokens, with a decaying token emission rate. To prevent fluctuation of the block time, the network’s block difficulty is re-adjusted through an algorithm based on the past 2016 block times.
  • With a block size limit capped at 1 megabyte, the Bitcoin Protocol has supported both the Lightning Network, a second-layer infrastructure for payment channels, and Segregated Witness, a soft-fork to increase the number of transactions on a block, as solutions to network scalability.

https://preview.redd.it/s2gmpmeze3151.png?width=256&format=png&auto=webp&s=9759910dd3c4a15b83f55b827d1899fb2fdd3de1

1. What is Bitcoin (BTC)?

  • Bitcoin is a peer-to-peer cryptocurrency that aims to function as a means of exchange and is independent of any central authority. Bitcoins are transferred electronically in a secure, verifiable, and immutable way.
  • Network validators, whom are often referred to as miners, participate in the SHA-256d-based Proof-of-Work consensus mechanism to determine the next global state of the blockchain.
  • The Bitcoin protocol has a target block time of 10 minutes, and a maximum supply of 21 million tokens. The only way new bitcoins can be produced is when a block producer generates a new valid block.
  • The protocol has a token emission rate that halves every 210,000 blocks, or approximately every 4 years.
  • Unlike public blockchain infrastructures supporting the development of decentralized applications (Ethereum), the Bitcoin protocol is primarily used only for payments, and has only very limited support for smart contract-like functionalities (Bitcoin “Script” is mostly used to create certain conditions before bitcoins are used to be spent).

2. Bitcoin’s core features

For a more beginner’s introduction to Bitcoin, please visit Binance Academy’s guide to Bitcoin.

Unspent Transaction Output (UTXO) model

A UTXO transaction works like cash payment between two parties: Alice gives money to Bob and receives change (i.e., unspent amount). In comparison, blockchains like Ethereum rely on the account model.
https://preview.redd.it/t1j6anf8f3151.png?width=1601&format=png&auto=webp&s=33bd141d8f2136a6f32739c8cdc7aae2e04cbc47

Nakamoto consensus

In the Bitcoin network, anyone can join the network and become a bookkeeping service provider i.e., a validator. All validators are allowed in the race to become the block producer for the next block, yet only the first to complete a computationally heavy task will win. This feature is called Proof of Work (PoW).
The probability of any single validator to finish the task first is equal to the percentage of the total network computation power, or hash power, the validator has. For instance, a validator with 5% of the total network computation power will have a 5% chance of completing the task first, and therefore becoming the next block producer.
Since anyone can join the race, competition is prone to increase. In the early days, Bitcoin mining was mostly done by personal computer CPUs.
As of today, Bitcoin validators, or miners, have opted for dedicated and more powerful devices such as machines based on Application-Specific Integrated Circuit (“ASIC”).
Proof of Work secures the network as block producers must have spent resources external to the network (i.e., money to pay electricity), and can provide proof to other participants that they did so.
With various miners competing for block rewards, it becomes difficult for one single malicious party to gain network majority (defined as more than 51% of the network’s hash power in the Nakamoto consensus mechanism). The ability to rearrange transactions via 51% attacks indicates another feature of the Nakamoto consensus: the finality of transactions is only probabilistic.
Once a block is produced, it is then propagated by the block producer to all other validators to check on the validity of all transactions in that block. The block producer will receive rewards in the network’s native currency (i.e., bitcoin) as all validators approve the block and update their ledgers.

The blockchain

Block production

The Bitcoin protocol utilizes the Merkle tree data structure in order to organize hashes of numerous individual transactions into each block. This concept is named after Ralph Merkle, who patented it in 1979.
With the use of a Merkle tree, though each block might contain thousands of transactions, it will have the ability to combine all of their hashes and condense them into one, allowing efficient and secure verification of this group of transactions. This single hash called is a Merkle root, which is stored in the Block Header of a block. The Block Header also stores other meta information of a block, such as a hash of the previous Block Header, which enables blocks to be associated in a chain-like structure (hence the name “blockchain”).
An illustration of block production in the Bitcoin Protocol is demonstrated below.

https://preview.redd.it/m6texxicf3151.png?width=1591&format=png&auto=webp&s=f4253304912ed8370948b9c524e08fef28f1c78d

Block time and mining difficulty

Block time is the period required to create the next block in a network. As mentioned above, the node who solves the computationally intensive task will be allowed to produce the next block. Therefore, block time is directly correlated to the amount of time it takes for a node to find a solution to the task. The Bitcoin protocol sets a target block time of 10 minutes, and attempts to achieve this by introducing a variable named mining difficulty.
Mining difficulty refers to how difficult it is for the node to solve the computationally intensive task. If the network sets a high difficulty for the task, while miners have low computational power, which is often referred to as “hashrate”, it would statistically take longer for the nodes to get an answer for the task. If the difficulty is low, but miners have rather strong computational power, statistically, some nodes will be able to solve the task quickly.
Therefore, the 10 minute target block time is achieved by constantly and automatically adjusting the mining difficulty according to how much computational power there is amongst the nodes. The average block time of the network is evaluated after a certain number of blocks, and if it is greater than the expected block time, the difficulty level will decrease; if it is less than the expected block time, the difficulty level will increase.

What are orphan blocks?

In a PoW blockchain network, if the block time is too low, it would increase the likelihood of nodes producingorphan blocks, for which they would receive no reward. Orphan blocks are produced by nodes who solved the task but did not broadcast their results to the whole network the quickest due to network latency.
It takes time for a message to travel through a network, and it is entirely possible for 2 nodes to complete the task and start to broadcast their results to the network at roughly the same time, while one’s messages are received by all other nodes earlier as the node has low latency.
Imagine there is a network latency of 1 minute and a target block time of 2 minutes. A node could solve the task in around 1 minute but his message would take 1 minute to reach the rest of the nodes that are still working on the solution. While his message travels through the network, all the work done by all other nodes during that 1 minute, even if these nodes also complete the task, would go to waste. In this case, 50% of the computational power contributed to the network is wasted.
The percentage of wasted computational power would proportionally decrease if the mining difficulty were higher, as it would statistically take longer for miners to complete the task. In other words, if the mining difficulty, and therefore targeted block time is low, miners with powerful and often centralized mining facilities would get a higher chance of becoming the block producer, while the participation of weaker miners would become in vain. This introduces possible centralization and weakens the overall security of the network.
However, given a limited amount of transactions that can be stored in a block, making the block time too longwould decrease the number of transactions the network can process per second, negatively affecting network scalability.

3. Bitcoin’s additional features

Segregated Witness (SegWit)

Segregated Witness, often abbreviated as SegWit, is a protocol upgrade proposal that went live in August 2017.
SegWit separates witness signatures from transaction-related data. Witness signatures in legacy Bitcoin blocks often take more than 50% of the block size. By removing witness signatures from the transaction block, this protocol upgrade effectively increases the number of transactions that can be stored in a single block, enabling the network to handle more transactions per second. As a result, SegWit increases the scalability of Nakamoto consensus-based blockchain networks like Bitcoin and Litecoin.
SegWit also makes transactions cheaper. Since transaction fees are derived from how much data is being processed by the block producer, the more transactions that can be stored in a 1MB block, the cheaper individual transactions become.
https://preview.redd.it/depya70mf3151.png?width=1601&format=png&auto=webp&s=a6499aa2131fbf347f8ffd812930b2f7d66be48e
The legacy Bitcoin block has a block size limit of 1 megabyte, and any change on the block size would require a network hard-fork. On August 1st 2017, the first hard-fork occurred, leading to the creation of Bitcoin Cash (“BCH”), which introduced an 8 megabyte block size limit.
Conversely, Segregated Witness was a soft-fork: it never changed the transaction block size limit of the network. Instead, it added an extended block with an upper limit of 3 megabytes, which contains solely witness signatures, to the 1 megabyte block that contains only transaction data. This new block type can be processed even by nodes that have not completed the SegWit protocol upgrade.
Furthermore, the separation of witness signatures from transaction data solves the malleability issue with the original Bitcoin protocol. Without Segregated Witness, these signatures could be altered before the block is validated by miners. Indeed, alterations can be done in such a way that if the system does a mathematical check, the signature would still be valid. However, since the values in the signature are changed, the two signatures would create vastly different hash values.
For instance, if a witness signature states “6,” it has a mathematical value of 6, and would create a hash value of 12345. However, if the witness signature were changed to “06”, it would maintain a mathematical value of 6 while creating a (faulty) hash value of 67890.
Since the mathematical values are the same, the altered signature remains a valid signature. This would create a bookkeeping issue, as transactions in Nakamoto consensus-based blockchain networks are documented with these hash values, or transaction IDs. Effectively, one can alter a transaction ID to a new one, and the new ID can still be valid.
This can create many issues, as illustrated in the below example:
  1. Alice sends Bob 1 BTC, and Bob sends Merchant Carol this 1 BTC for some goods.
  2. Bob sends Carols this 1 BTC, while the transaction from Alice to Bob is not yet validated. Carol sees this incoming transaction of 1 BTC to him, and immediately ships goods to B.
  3. At the moment, the transaction from Alice to Bob is still not confirmed by the network, and Bob can change the witness signature, therefore changing this transaction ID from 12345 to 67890.
  4. Now Carol will not receive his 1 BTC, as the network looks for transaction 12345 to ensure that Bob’s wallet balance is valid.
  5. As this particular transaction ID changed from 12345 to 67890, the transaction from Bob to Carol will fail, and Bob will get his goods while still holding his BTC.
With the Segregated Witness upgrade, such instances can not happen again. This is because the witness signatures are moved outside of the transaction block into an extended block, and altering the witness signature won’t affect the transaction ID.
Since the transaction malleability issue is fixed, Segregated Witness also enables the proper functioning of second-layer scalability solutions on the Bitcoin protocol, such as the Lightning Network.

Lightning Network

Lightning Network is a second-layer micropayment solution for scalability.
Specifically, Lightning Network aims to enable near-instant and low-cost payments between merchants and customers that wish to use bitcoins.
Lightning Network was conceptualized in a whitepaper by Joseph Poon and Thaddeus Dryja in 2015. Since then, it has been implemented by multiple companies. The most prominent of them include Blockstream, Lightning Labs, and ACINQ.
A list of curated resources relevant to Lightning Network can be found here.
In the Lightning Network, if a customer wishes to transact with a merchant, both of them need to open a payment channel, which operates off the Bitcoin blockchain (i.e., off-chain vs. on-chain). None of the transaction details from this payment channel are recorded on the blockchain, and only when the channel is closed will the end result of both party’s wallet balances be updated to the blockchain. The blockchain only serves as a settlement layer for Lightning transactions.
Since all transactions done via the payment channel are conducted independently of the Nakamoto consensus, both parties involved in transactions do not need to wait for network confirmation on transactions. Instead, transacting parties would pay transaction fees to Bitcoin miners only when they decide to close the channel.
https://preview.redd.it/cy56icarf3151.png?width=1601&format=png&auto=webp&s=b239a63c6a87ec6cc1b18ce2cbd0355f8831c3a8
One limitation to the Lightning Network is that it requires a person to be online to receive transactions attributing towards him. Another limitation in user experience could be that one needs to lock up some funds every time he wishes to open a payment channel, and is only able to use that fund within the channel.
However, this does not mean he needs to create new channels every time he wishes to transact with a different person on the Lightning Network. If Alice wants to send money to Carol, but they do not have a payment channel open, they can ask Bob, who has payment channels open to both Alice and Carol, to help make that transaction. Alice will be able to send funds to Bob, and Bob to Carol. Hence, the number of “payment hubs” (i.e., Bob in the previous example) correlates with both the convenience and the usability of the Lightning Network for real-world applications.

Schnorr Signature upgrade proposal

Elliptic Curve Digital Signature Algorithm (“ECDSA”) signatures are used to sign transactions on the Bitcoin blockchain.
https://preview.redd.it/hjeqe4l7g3151.png?width=1601&format=png&auto=webp&s=8014fb08fe62ac4d91645499bc0c7e1c04c5d7c4
However, many developers now advocate for replacing ECDSA with Schnorr Signature. Once Schnorr Signatures are implemented, multiple parties can collaborate in producing a signature that is valid for the sum of their public keys.
This would primarily be beneficial for network scalability. When multiple addresses were to conduct transactions to a single address, each transaction would require their own signature. With Schnorr Signature, all these signatures would be combined into one. As a result, the network would be able to store more transactions in a single block.
https://preview.redd.it/axg3wayag3151.png?width=1601&format=png&auto=webp&s=93d958fa6b0e623caa82ca71fe457b4daa88c71e
The reduced size in signatures implies a reduced cost on transaction fees. The group of senders can split the transaction fees for that one group signature, instead of paying for one personal signature individually.
Schnorr Signature also improves network privacy and token fungibility. A third-party observer will not be able to detect if a user is sending a multi-signature transaction, since the signature will be in the same format as a single-signature transaction.

4. Economics and supply distribution

The Bitcoin protocol utilizes the Nakamoto consensus, and nodes validate blocks via Proof-of-Work mining. The bitcoin token was not pre-mined, and has a maximum supply of 21 million. The initial reward for a block was 50 BTC per block. Block mining rewards halve every 210,000 blocks. Since the average time for block production on the blockchain is 10 minutes, it implies that the block reward halving events will approximately take place every 4 years.
As of May 12th 2020, the block mining rewards are 6.25 BTC per block. Transaction fees also represent a minor revenue stream for miners.
submitted by D-platform to u/D-platform [link] [comments]

Can a quantum computer be used for bitcoin mining?

This has been bothering me for a while.
I'm a newbie in computer science, and I just found out about Grover’s algorithm, which can only be implemented on a quantum computer. Supposedly it can achieve a quadratic speedup over a classical computer, brute-forcing a solution to a n-bit symmetric encryption key in 2^n/2 iterations.
This led me to think that, by utilizing a quantum computer or quantum simulator of about 40-qubits that runs Grover's algorithm, is it possible to mine bitcoins this way? The current difficulty of bitcoin mining is about 15,466,098,935,554 (approximately 2^44), which means that it would take about 2^44*2^32=2^76 SHA256 hashes before a valid block header hash is found.
However, by implementing Grover's algorithm, we would only need to sort through 2^76/2=2^38 hashes to discover a valid block header hash. A 38-qubit quantum computer should be sufficient in this case - which means the 40-qubit quantum computer should be more than enough to handle bitcoin mining.
Therefore - is it possible to use quantum computers to mine bitcoins this way? I'm not too familiar with quantum computers, so please correct me if I missed something.......
NOTE: I am NOT asking whether it is possible to use quantum computers to break the ECDSA secp256k1 algorithm, which would effectively allow anyone to steal bitcoins from wallets. I know that this would require much more than 40 qubits, and is definitely not happening in the near-future.
Rather, I'm asking about bitcoin mining, which is a much easier problem than trying to break ECDSA secp256k1.
submitted by Palpatine88888 to QuantumComputing [link] [comments]

Dev++ 01-01-EN  Foundational Math, ECDSA and Transactions - Jimy Song Bitcoin ECDSA- Elliptic curve Digital Signature Elliptic Curve Digital Signature Algorithm Breaking ECDSA (Elliptic Curve Cryptography) - rhme2 ... Elliptic Curve Digital Signature Algorithm (ECDSA) (Money Button Documentation Series)

ECDSA (‘Elliptical Curve Digital Signature Algorithm’) is the cryptography behind private and public keys used in Bitcoin. It consists of combining the math behind finite fields and elliptic ... Elliptic Curve Digital Signature Algorithm or ECDSA is a cryptographic algorithm used by Bitcoin to ensure that funds can only be spent by their rightful owners.. A few concepts related to ECDSA: private key: A secret number, known only to the person that generated it.A private key is essentially a randomly generated number. Elliptic Curve Digital Signature Algorithm (ECDSA) is a cryptographic algorithm used by Bitcoin to ensure that funds can only be spent by their rightful owners. ECDSA ist eine Abkürzung, welche für „Eliptic Curved Digital Signature Algorithm“ steht und zugleich eine Abwandlung des klassischen Digital Signature Algorithmus (DSA) darstellt. Dabei wurde die Eliptic Curve Kryptografie in den Jahren 1986 und 1987 von Neal Koblitz und Victor Miller entwickelt, ohne dass eine Zusammenarbeit erfolgte. The reason the hackers were able to do so was because Sony misimplemented ECDSA’s algorithm by forcing a static instead of choosing a random one for every signature. Security of ECDSA: A note on existential unforgeability. There are no known proof of ECDSA’s security in the RO model. This may be surprising, given ECDSA’s usage in bitcoin ...

[index] [34676] [39190] [37869] [35969] [8161] [25651] [39771] [29397] [11980] [42227]

Dev++ 01-01-EN Foundational Math, ECDSA and Transactions - Jimy Song

We are going to recover a ECDSA private key from bad signatures. Same issue the Playstation 3 had that allowed it to be hacked. -=[ 🔴 Stuff I use ]=- → Micro... Elliptic Curve Digital Signature Algorithm ECDSA Part 10 Cryptography Crashcourse - Duration: 35:32. Dr. Julian Hosp - Bitcoin, Aktien, Gold und Co. 6,838 views Skip navigation Sign in. Search Elliptic Curve Digital Signature Algorithm ECDSA Part 10 Cryptography Crashcourse - Duration: 35:32. Dr. Julian Hosp - Blockchain, Krypto, Bitcoin 5,761 views Jimmy Song explains the basics of cryptography that serves as a foundation for Bitcoin transactions. This course provides in-depth coverage of Elliptic Curve Digital Signature Algorithm (ECDSA ...

#