Elliptic Curve Digital Signature Algorithm - Bitcoin Wiki

Anyone else interested in bitcoin? I implemented a large chunk of its technology in C. Includes base58 and base32 encoding, an implementation of the elliptic curve encryption algorithm, node intercommunication, and some other things. Take a look and let me know what you think.

Anyone else interested in bitcoin? I implemented a large chunk of its technology in C. Includes base58 and base32 encoding, an implementation of the elliptic curve encryption algorithm, node intercommunication, and some other things. Take a look and let me know what you think. submitted by always_programming3 to C_Programming [link] [comments]

Bitcoin secp256k1 wrapper for OCaml (Elliptic curve digital signature algorithm)

submitted by dak91 to ocaml [link] [comments]

Bitcoin secp256k1 wrapper for OCaml language (elliptic curve digital signature algorithm)

Bitcoin secp256k1 wrapper for OCaml language (elliptic curve digital signature algorithm) submitted by dak91 to Bitcoin [link] [comments]

Bitcoin secp256k1 wrapper for OCaml language (elliptic curve digital signature algorithm)

Bitcoin secp256k1 wrapper for OCaml language (elliptic curve digital signature algorithm) submitted by BitcoinAllBot to BitcoinAll [link] [comments]

PAPER: New algorithm for the discrete logarithm problem on elliptic curves | Jean-Paul Kogelman | Apr 07 2015 /r/bitcoin_devlist

PAPER: New algorithm for the discrete logarithm problem on elliptic curves | Jean-Paul Kogelman | Apr 07 2015 /bitcoin_devlist submitted by BitcoinAllBot to BitcoinAll [link] [comments]

New algorithm for the discrete logarithm problem on elliptic curves: any impact on bitcoin?

submitted by _supert_ to Bitcoin [link] [comments]

After 6 years of community pressure, RedHat legal approves Elliptical Curve algorithms to be enabled in distributed packages. This makes compiling Bitcoin related software much easier!

submitted by AgentZeroM 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]

So has the elliptical curve security solution algorithm at the heart of bitcoin mining survived all attempts to cheat it?

So has the elliptical curve security solution algorithm at the heart of bitcoin mining survived all attempts to cheat it?
Hasnt there been one moderately successfull tactic of delaying release of a correct solution to the blockchain because it gives you a leg up on solving the next one ?
Anything else?
submitted by reddbullish to Bitcoin [link] [comments]

Security Vulnerabilities Of the Bitcoin Elliptical Curve Digital Signature ECDS Algorithm

Security Vulnerabilities Of the Bitcoin Elliptical Curve Digital Signature ECDS Algorithm submitted by BitcoinAllBot to BitcoinAll [link] [comments]

Security Vulnerabilities Of the Bitcoin Elliptical Curve Digital Signature ECDS Algorithm

Security Vulnerabilities Of the Bitcoin Elliptical Curve Digital Signature ECDS Algorithm submitted by Cryptofortune 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]

[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]

[ Bitcoin ] The truth about Bitcoin

[ 🔴 DELETED 🔴 ] Topic originally posted in Bitcoin by yotta_e [link]
Bitcoin is created by 666/illuminati/NSA/lizard/deep state
Here is the evidence:
SHA256 Shar the cycle of nibiru which is 3600 earth years
ECDSD elliptic curve digital signature algorithm nibiru circle the sun in an elliptic curve
If you don't know what is nibiru or planet x or crossing star, read the book: the lost book of Enki
666 will do earthquakes tsunami volcano solar flares EMP very soon. Build a team and get a shelter. If you survive, you don't have to pay tax anymore.
illuminati & freemason engineered WW1/WW2 and the upcoming WW3
Every financial crisis is carefully engineered to wipe out middle class and create social divisions.
F**k the money man
The bible is real, the moon is hollow. Ask me anything. I am a professional conspiracy theorist.
yotta_e your post has been copied because one or more comments in this topic have been removed. This copy will preserve unmoderated topic. If you would like to opt-out, please send a message using [this link].
submitted by anticensor_bot to u/anticensor_bot [link] [comments]

Introduction to Bitterfly: Butterfly Matrix Entropy Weight Consensus Algorithm

When Bitcoin launched 11 years ago, Satoshi Nakamoto had the vision of giving people power over their money. His vision lives on through BTC. However, the Bitcoin network has a few flaws. One of those flaws is the Proof of Work mechanism. Mining Bitcoin requires a huge amount of resources that are out of reach for most ordinary people. The result is that the BTC network is increasingly being placed in centralized control.The Bitterfly project hopes to change that using a revolutionary consensus mechanism called the Buttery that will be used on the Bitterfly blockchain.
About Bitterfly
Bitterfly wants to continue the vision that Nakamoto had for Bitcoin. The goal is to give power back to the people and place them in control of their finances. To do this, the Bitterfly team is working on three main areas that require improvement:
· The consensus mechanism
· The blockchain performance
· Community Governance
The Consensus Mechanism
To improve the consensus mechanism, the team behind Bitterfly has created the Butterfly algorithm that they will add to the PoW mechanism. Not only can it ensures that the hash rate is obtained fairly, it ensures that the hash rate of the whole network is enhanced via the butterfly effect.
Performance
In terms of performance, the Bitterfly blockchain has been upgraded to have a confirmed commercial speed of 5000TPS. Bitterfly is designed as a Blockchain As a Service open-source platform, which can be used in different applications.
Bitterfly will support different types of computing services that include cloud servers. As a result, it will utilize idle server resources to boost the hash rate support for the network.
Community Governance
When it comes to community Governance, Bitterfly plans to introduce a node competition mechanism that will release 210 nodes over time to enhance the butterfly effect. First, they will introduce the nodes via the Butterfly matrix network. Later, they will do so via a fair elimination process. The goal is to ensure that the nodes contribute to the success of Bitterfly.
The Encryption Algorithm
Encryption and decryption of data are at the core of the operation of any blockchain. It helps to guarantee the security of the whole blockchain. Only a corresponding private key can unlock data encrypted using a public key.
In most blockchains, the Hash Function and the Asymmetric Key Encryption Algorithm are used to encrypt and decrypt data. For the Hush Function, the main algorithms used are SHA and MD5.Bitterfly uses the SHA256 algorithm for encryption and RSA, DSA, and Elliptic curve algorithms for decryption. For the verification phase, Bitterfly developed the DFLYSChnorr, which is based on the SCHNOOR algorithm.
Consensus Algorithm
The consensus mechanism is used in the blockchain to ensure that each transaction is accurate. Bitterfly plans to operate within the enterprise space, which requires comprehensive and heterogeneous systems that are integrated with various communication protocols.
To deal with the challenges that might arise, Bitterfly developed a two-layer consensus algorithm for the PoW mechanism called the PBFT algorithm. Here is how the Bitterfly algorithm works:
· The network Structure
Bitterfly is designed as an internet payment and application protocol that is based on embracing the digital economy. It can facilitate value storage as well as the decentralized exchange of digital assets, payments, as well as clearing functions. Within Bitterfly, everyone can participate in productively. It will place a huge demand on Bitterfly. The network will offer performance guarantees as well as smart contracts.
· Bitterfly Consensus Algorithm
To meet the goal of decentralization and security, Bittefly wants to become a global computer instead of a P2P information system. Besides satisfying the decentralization and security needs of its users via PoW, the system will also need to perform at a high level.
As a result, the team opted to support smart contracts in commercial applications. To deal with the issue of energy consumption, the team came up with the Butterfly algorithm. The algorithm allows the use of PoW as well as other cross-chain methods such as the Layer 2 protocol. Confirmation of transactions is done via verification nodes.
Each node is preconfigured with a list of trusted nodes known as the Consensus Achievement List (CAL). The node list can be used to confirm transactions. Once a transaction is confirmed with the local ledger, it is integrated into the transaction candidate set while all illegal ones are discarded.
To improve the security of the network, the verification confirmation was raised to 60% unlike in other networks where it is 50% +1. A transaction is officially confirmed once it is confirmed by 80% of the CAL nodes. The process is known as the Last Closed Ledger, which represents the latest changes to the ledger.
Within Bitterfly, the identities of those taking part in the confirmation of transactions are known beforehand. AS a result, transactions are faster and the blockchain is more efficient.
Butterfly Matrix Entropy Weight Algorithm
Entropy is used to measure the level of uncertainty in the system. Bitterfly built a way to establish consensus using multiple factors. In the network, each data set has a corresponding weight.
Summary
For the past 11 years, Bitcoin has enjoyed tremendous success. The launch of Bitcoin ushered in a new era for humanity. For the first time in history, decentralized money that is outside the control of governments and other central entities is possible.
The new type of money gives people the power to control their finances and avoid the harsh effects of inflation caused by the wanton printing of government currency. When a new economic downturn hit the global economy, Bitcoin failed the litmus test. While Bitcoin should have helped to save people’s finances as the money printing began, it seemed to have followed the same trend as the sinking global economy.
It revealed that BTC still had numerous weaknesses that need to be corrected. Bitterfly wants to build on what Bitcoin has accomplished and do more with it. The team behind this project is quite optimistic. They believe that they can achieve what Bitcoin has achieved in the past 11 years. Besides that, they believe they can achieve where Bitcoin has failed in those past 11 years.
Social Media Links
TWITTER: https://twitter.com/BitterflyD
MEDIUM: https://medium.com/@BitterflyD
YOUTUBE: https://www.youtube.com/channel/UCxSNCzuQsNj-oCgepxzoXQg
TELEGRAM: https://t.me/Bitterfly_Disciples
submitted by Bitterfly_Disciples to u/Bitterfly_Disciples [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]

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]

Quantum computing

The pace is picking up on development of quantum cpus. When this happens. Do we get rid of our BTC? Cryptography will be kind of useless. I’m assiming?
Or just misinformed.
submitted by cdb9990 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]

【NeoLine Talk】The life cycle of the private key

【NeoLine Talk】The life cycle of the private key

https://preview.redd.it/yeib74adcoy41.png?width=900&format=png&auto=webp&s=8e50b543a01a25860c7c732c17a1f2da338cd7c6
In the blockchain system, since there is no centralized organization responsible for managing the backup user sensitive data, the generation, storage, use, retrieval, destruction, and update of the user’s private key all need to be guaranteed by the user. Therefore, for the entire life cycle of the private key, there needs to be a strict way to manage and control it, to ensure the security of the asset.
Today ’s NeoLine Talk, let ’s talk about how to ensure the security of the private key life cycle.

Private key generation

Private key: A 256-bit binary random number whose quality depends entirely on the quality of the random number that generated the private key. If the randomness of the key generation process is insufficient to make it predictable, then all subsequent security protection measures will be in vain.
Random numbers are the cornerstone of information security systems based on modern cryptography. The security of the entire system depends entirely on the generation efficiency and quality of random number sequences. The core of high-quality random numbers is “unpredictability”. There are two types of random numbers: pseudo-random and true random.
Pseudo-random is also called pseudo-random. It generally relies on seeds and algorithms. Knowing the seeds or the random numbers that have been generated, you can get the next random numbers, which is predictable. The current mainstream blockchain system is the private key generated by this method …
True random numbers are generally based on the design of the hardware. Random numbers are generated according to the external temperature, voltage, electromagnetic field, environmental noise, etc., and the unpredictability of randomness is greatly increased. All security cryptographic chips in the financial field adopt this design.

Let’s see in detail how to generate a private key from a random number?

The first step in generating a private key is also the most important. It is to find a sufficiently secure source of entropy, that is, a source of randomness. Generating a Bitcoin private key is essentially the same as “choose a number between 1 and 2256”. As long as the selected results are unpredictable or unrepeatable, the specific method of selecting numbers is not important. Bitcoin software uses a random number generator at the bottom of the operating system to generate 256 bits of entropy (randomness). Normally, the operating system random number generator is initialized by an artificial random source, and it may also need to be initialized by shaking the mouse continuously within a few seconds.
More precisely, the private key can be any number between 1 and n-1, where n is a constant (n = 1.158 * 1077, slightly less than 2256) and is defined by the order of the elliptic curve used by Bitcoin. To generate such a private key, we randomly choose a 256-bit number and check whether it is less than n-1. From a programming point of view, it is generally by taking a long string of random bytes from a cryptographically secure random source and using the SHA256 hash algorithm to perform operations, so that a 256-bit number can be easily generated. If the operation result is less than n-1, we have a suitable private key. Otherwise, we repeat it with another random number.

Private key storage

Each bitcoin address corresponds to a private key, and mastering the private key means mastering the bitcoin in its corresponding address. In layman’s terms, a key opens a lock. If the Bitcoin address is a lock, then the private key is the key to the lock.
The storage and use of private keys are generally divided into soft and hard implementations.
Soft implementation, storage, and use are in the form of software. After the key is generated, it is stored in the user terminal or hosted on the server as a file or character string. When used, the private key plain text is read directly or through simple password control into the memory, and the private key calculation is completed by the CPU. This storage and use method has a lot of security risks and is easy to be copied, stolen, brute-forced by hackers or ghosts.
Hard implementation generally relies on a dedicated cryptographic security chip or cryptographic device as a carrier. There are generally mechanisms such as physical protection, sensitive data protection, and key protection to ensure that the private key must be generated by dedicated hardware. At any time and under any circumstances, the private key cannot appear outside the cryptographic device in clear text; the key stored inside the cryptographic device should have an effective key protection mechanism to prevent dissection, detection, and illegal reading. The private key cannot be exported, and only the signature value can be calculated and output.
But whether it is soft or hard, as long as others know your private key, you can transfer your assets. Remember, whoever holds the private key is the real owner of the asset.

Safe use of private keys

When using the private key, it is necessary to ensure the security of the use environment, and access, reading, and writing of the private key file need to have relevant permission control. After the use is completed, all sensitive data cached in the memory needs to be cleared using a dedicated function to prevent the leakage of sensitive data. From the perspective of password cracking, the private key should be replaced after a certain period of use. This is a problem involving the destruction and update of the private key, which we will introduce later.

Private key recovery

If a traditional centralized bank loses its U-shield or forgets its password, it can rebind a new U-shield (private key) through the account system. Accounts and private keys are logically bound and are operated by centralized banks while meeting risk control requirements. There are also some traditional centralized payment institutions. When the user’s asset certificate is lost, the centralized institution can retrieve the relevant data through its identity certificate.
But in the blockchain system, there is no centralized organization to help us back up sensitive data such as private keys. Therefore, when designing the system’s private key management scheme, it is necessary to provide multiple back-ups and recovery methods, such as the use of mnemonic words or the use of passwords plus local ciphertext files to restore private key data. But if your mnemonic is also lost, it means you lost everything.

Private key destruction

When the user needs to destroy the private key data, it is necessary to ensure that all the private key data stored in the backup are completely deleted and destroyed.

Private key update

In the field of blockchain, the private key is the only credential that represents the user’s identity or digital assets. If the private key needs to be updated, registration or digital asset transfer must be re-bound. Therefore, when you need to replace the private key, you need to ensure that the new private key is safely generated or imported, the assets have been safely transferred, and the old private key is safely destroyed.
Everything starts with visibility. The security of the private key is related to the security of digital assets and the security of personal privacy, so it is very important to securely ensure every step of the life cycle of the private key.
submitted by NeoLine_Wallet to NEO [link] [comments]

The Microsoft Quantum Development Kit Preview has been released

submitted by ObsidianMinor to programming [link] [comments]

[Weekly Report] LivesOne promotes ecosystem development

[Weekly Report] LivesOne promotes ecosystem development
Dear friends of LivesOne,

Last week, we briefly shared some news of LivesOne. Besides that, we also promoted the BSV apps. Recently, we will launch the exchange LVTC for other assets events.
Although BSV has been in existence for less than two years, its ecosystem grows rapidly, and a number of excellent applications have emerged. There are more than 300 projects on the BSV chain, at an average rate of 0.88 applications per day. Today I will introduce to you some excellent apps on BSV chain developed by domestic developers that LivesOne is currently contacting with.

Satoplay

SatoPlay is a casual gaming platform built on the Bitcoin SV blockchain. SatoPlay is an “instant-play“ mobile game platform.
Earn BSV by playing games, the higher the ranking, the more BSV. In-game items are available for purchase as gamers progress in the game, while further rewards are given based on daily ranking. The rewards come from the revenue that the items being used generate, creating an intra-platform incentive cycle that adds layers to games while presenting new challenges for players.
SatoPlay has launched 2 games at first, which are both in the casual genre. Please click "Enter Game" to experience it.
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After game over, you can choose whether to save your score on-chain. To give you a little suggestion, before starting the game, look at the leaderboard first to see the highest score. If your score is better, try to save maybe you will earn more.

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Utilizing the unique capabilities of BSV, players' scores can be uploaded to the BSV blockchain, where they are immutable and unchangeable.

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Recently, SatoPlay has launched "Leap Day Birds", a title built by third-party developer Momo Game Studio – a significant step, demonstrating that SatoPlay has officially entered the "open platform" stage. More games are coming in the very near future.

NoteSV

NoteSV is the highest security Personal Privacy Information Manager powered by Bitcoin SV.

NoteSV Features

  • Website password management, support for advanced password generation and Two-factor Authentication (2FA).
  • Personal secure notes management, support to add pictures. Suitable for storing bank, credit card, and all kinds of private information.
  • Record all histories on Bitcoin blockchain. support information search, sorting and sharing.
  • No monthly fee and annual fee. Pay 0.2 cent micro fee on reading and writing as needed.

NoteSV Security

  • Use 11 years Bitcoin Blockchain that is a 100% reliable blockchain cloud.
  • Each record kept in note.sv is encrypted with a different Elliptic Curve Crypto algorithm, no one can peek at.
  • Once written into the blockchain, no one can tamper and forge.
  • Information that is stored on the Blockchain will not be lost due to changes in software developers or servers.
NoteSV page is concise and easy to use, all history records of addition, deletion and modification of data information are recorded.

https://preview.redd.it/b2zitfpgsm251.png?width=1120&format=png&auto=webp&s=380b640a8dea0ffbe4ba5f6f23706c91e3ee40ae
Support information search and sorting.

https://preview.redd.it/lwmqwkuhsm251.png?width=1122&format=png&auto=webp&s=448f7cca2ea320ed22015b0d8bad17f3e1dc8567
The software costs a little Satoshi to use, and the $10 recharge is equivalent to writing more than 3,000 encrypted documents.

Cityonchain

Cityonchain is also built-in the BSV chain. You can own your city with Cityonchain. The platform allows its users to become city owners.

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Cityonchain initially launched the city trading system. In the system, you can buy a city and become the owner, you can set your own advertising space, and then obtain the benefits of related applications in the cities.

https://preview.redd.it/zgz3yxnptm251.png?width=1214&format=png&auto=webp&s=72da631de4897a81e6de179e28c3f09c58af6887
Cityonchain also created chat rooms. For example, in "New York", you can see the weather of NewYork and see the ads set by the city owner. You need to pay 1 cent for sending each message. It takes 10 cents to like the information, but 7 cents out of 10 cents will be returned to the person who was praised, 2 cents will be given to the city owner, and 1 cent is charged by the platform. The city owner can modify the chat name of the chat room. This piece can make each chat room have its own unique topic.

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Cityonchain has created a classified information platform, like 58 cities on a chain. It includes a lot of information such as real estate information, second-hand housing transactions or second-hand product transactions, or recruitment information, local service information, etc.

https://preview.redd.it/jpvza3tfvm251.png?width=1189&format=png&auto=webp&s=5ae607caf4c90c26e17fc4d55a6effb3b60c4f11
At the beginning of our cooperation plan, we will open some functions to support these apps on the LivesOne platform, like Quick Payment function. We will combine these applications to do more activities to community members to promote the development of the two ecosystems.


Symbiosism Economy Foundation
June 3, 2020
submitted by LivesoneToken to LivesOne [link] [comments]

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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 ... Descrtiption [] Key and signature-size comparison to DSA []. As with elliptic-curve cryptography in general, the bit size of the public key believed to be needed for ECDSA is about twice the size of the security level, in bits. For example, at a security level of 80 bits (meaning an attacker requires a maximum of about 2 80 operations to find the private key) the size of an ECDSA public key ... Elliptic Curve Digital Signature Algorithm or ECDSA is a cryptographic algorithm used by Bitcoin to ensure the effective and secure control of ownership of funds.. A few concepts related to ECDSA: private key: A secret number, known only to the person that generated it.A private key can be a randomly generated number but in 2019 most wallets use deterministic key schemes derived from BIP 0032. 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. Bitcoin’s protocol adopts an Elliptic Curve Digital Signature Algorithm and in the process selects a set of numbers for the elliptic curve and its finite field representation. These which are fixed for all users of the protocol. The parameters include the equation used, the field’s prime modulo, and a base point that falls on the curve. The ...

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What would happen to Bitcoin if Discrete Log were broken?

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