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Pythagoras0 (토론 | 기여)님의 2022년 9월 16일 (금) 01:56 판
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- Note that because secp256k1 is actually defined over the field Z p , its graph will in reality look like random scattered points, not anything like this.[1]
- Note that because secp256k1 is actually defined over the field Z, its graph will in reality look like random scattered points, not anything like this.[1]
- Currently Bitcoin uses secp256k1 with the ECDSA algorithm, though the same curve with the same public/private keys can be used in some other algorithms such as Schnorr.[1]
- secp256k1 was almost never used before Bitcoin became popular, but it is now gaining in popularity due to its several nice properties.[1]
- The main difference between secp256k1 and secp256r1 is that secp256k1 is a Koblitz curve which is defined in a characteristic 2 finite field, while secp256r1 is a prime field curve.[2]
- Secp256k1 curves are non-random while secp256r1 is pseudo-randomly structured.[2]
- Secp256k1 is a pure SECG curve, while secp256r1 is a so-called NIST curve.[2]
- Secp256k1 is the name of the elliptic curve used by Bitcoin to implement its public key cryptography.[3]
- When a user wishes to generate a public key using their private key, they multiply their private key, a large number, by the Generator Point, a defined point on the secp256k1 curve.[3]
- Because the y component of the equation is squared, secp256k1 is symmetric across the x-axis, and for each value of x, there are two values of y, one of which is odd while the other is even.[3]
- If it wasn’t for Satoshi Nakamoto, you probably would never have heard of the secp256k1 Elliptic Curve Cryptography (ECC) method.[4]
- Rust bindings for Pieter Wuille’s secp256k1 library, which is used for fast and accurate manipulation of ECDSA signatures on the secp256k1 curve.[5]
- In rust-secp256k1 , this is caught at compile-time; in fact, it is impossible to compile code that will trigger any assertion failures in the upstream library.[5]
- This library is intended to be the highest quality publicly available library for cryptography on the secp256k1 curve.[6]
- Use secp256k1's efficiently-computable endomorphism to split the P multiplicand into 2 half-sized ones.[6]
- The secp256k1 elliptic curve is specified in Standards for Efficient Cryptography 1 (SEC 1) and Standards for Efficient Cryptography 2 (SEC 2).[7]
- Bitcoin uses a specic Koblitz curve secp256k1 dened by the Standards for Efcient Cryptography Group (SECG).[8]
- I want to explore the different dened Koblitz curves from SECG and see why the specic curve secp256k1 was chosen by the creator of Bitcoin.[8]
- It is believed that because of security reasons the creator of Bitcoin preferred the non-random secp256k1 over the pseudo-randomly structured secp256r1.[8]
- This module provides native bindings to bitcoin-core/secp256k1.[9]
- randomBytes ( 32 ) let privKey do { privKey = randomBytes ( 32 ) } while ( ! secp256k1 .[9]
- privateKeyVerify ( privKey ) ) const pubKey = secp256k1 .[9]
- privateKeyVerify ( privKey ) ) return privKey } } const privKey = getPrivateKey ( ) const pubKey = secp256k1 .[9]
- This section describes the elliptic curve, E(0,7), also named as secp256k1, and the subgroup parameters, which are used in Bitcoin, Ethereum, and many other cryptocurrency apps.[10]
- By the way, the named curve, secp256k1, refers to the elliptic curve, E(0,7), and those subgroup parameters together as EC domain parameters.[10]
- This library provides secp256k1 bindings for Swift with Cocoapods, Carthage and Swift Package Manager on macOS and Linux.[11]
- After that you can use all secp256k1 functions as described in the official headers.[11]
- How to generate an EC key pair on the secp256k1 curve?[12]
- *; // Generate EC key pair on the secp256k1 curve ECKey ecJWK = new ECKeyGenerator(Curve.[12]
- SECP256k1 ) public_key = secret_key .[13]
- This project contains Haskell bindings for the secp256k1 library.[14]
- This procedure explains how to generate a pair of ECDSA keys with the P-256 (secp256k1) curve that you can use to sign and verify your JWTs.[15]
- This library wrap the secp256k1 EC(DSA) library into an OCaml library.[16]
- Bitcoin uses elliptic curve cryptography for its keys and signatures, but the specific secp256k1 curve used is rather unusual.[17]
- @staticmethod def new_random (): return Secp256k1PrivateKey ( secp256k1 .[18]
- catch_warnings (): # squelch secp256k1 warning warnings .[18]
- This paper develops an approach for arithmetic (point addition and doubling) on secp256k1 Koblitz curve over finite fields using one variable polynomial based on Euclidean division.[19]
- The resulting algorithm is tested on realistic secp256k1 Koblitz curve and is shown to be scalable to perform the computations.[19]
- Generate public keys from private keys for ed25519, secp256k1 and bls12-381.[20]
- The elliptic curve C is the secp256k1 curve.[21]
- For your information, Bitcoin Core developers are slowly moving away from OpenSSL towards their own implementation of secp256k1 crypto.[21]
- Create a point in the secp256k1 curve.[22]
- There is no check to confirm that the public key point passed into the derive function actually exists on the secp256k1 curve.[23]
- For the secp256k1 curve, the private key is 256-bit integer (32 bytes) and the compressed public key is 257-bit integer (~ 33 bytes).[24]
- Was secp256k1 chosen to have better interop with bitcoin and for reuse of bitcoin libraries (like pybitcointools)?[25]
소스
- ↑ 1.0 1.1 1.2 1.3 Bitcoin Wiki
- ↑ 2.0 2.1 2.2 Why did Satoshi decide to use secp256k1 instead of secp256r1?
- ↑ 3.0 3.1 3.2 River Financial
- ↑ A Bluffer’s Guide to secp256k1
- ↑ 5.0 5.1 secp256k1
- ↑ 6.0 6.1 bitcoin-core/secp256k1: Optimized C library for EC operations on curve secp256k1
- ↑ Secp256k1-domain-parameters
- ↑ 8.0 8.1 8.2 Koblitz curves and its practical uses in bitcoin
- ↑ 9.0 9.1 9.2 9.3 secp256k1
- ↑ 10.0 10.1 EC Private Key Example
- ↑ 11.0 11.1 secp256k1.swift
- ↑ 12.0 12.1 JSON Web Token (JWT) with ES256K (secp256k1) signature
- ↑ SECP256K1 vector creation — Cryptography 3.4.7 documentation
- ↑ secp256k1-haskell
- ↑ Generate ECDSA keys with the P-256 (secp256k1) curve
- ↑ secp256k1
- ↑ A comparison between the secp256r1 and the koblitz secp256k1 bitcoin curves
- ↑ 18.0 18.1 signing.secp256k1 — Sawtooth latest documentation
- ↑ 19.0 19.1 Arithmetic of Koblitz Curve Secp256k1 Used in Bitcoin Cryptocurrency Based on One Variable Polynomial Division by Santoshi Pote, Virendra Sule, B.K. Lande :: SSRN
- ↑ Paul Miller — Elliptic curve calculator
- ↑ 21.0 21.1 Elliptic-curve keys
- ↑ Caustic.Secp256k1 – Caustic v0.1.13
- ↑ CVE-2020-28498
- ↑ ECDSA: Elliptic Curve Signatures
- ↑ Elliptic curve choices in Ethereum: secp256k1 vs Curve25519 : ethereum
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- [{'LOWER': 'secp256k1'}]