Description
TL;DR: A direct examination of the unusual elliptic curve Bitcoin actually uses and the NIST-standard curve it did not choose.
About This Document
The authors compare secp256k1 with secp256r1 through their parameters, equations, structural properties, automorphisms, strengths, and weaknesses. The paper uses that comparison to discuss why Bitcoin’s creator may have selected the Koblitz-style secp256k1 curve and also touches on GPU mining.
Why Bitcoin People May Care
Bitcoin keys and ECDSA signatures rest on secp256k1. That makes the curve choice more than cryptographic trivia: it sits underneath address ownership and every signed transaction. This paper is a compact route into the technical question that has followed Bitcoin since people first noticed Satoshi skipped the more common NIST curve.
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Document Details
- Title: A Comparison Between secp256r1 and Bitcoin’s secp256k1 Curve
- Author / organization: Azine Houria, Bencherif Mohamed Abdelkader, Guessoum Abderezzak
- Year: 2019
- Document type: Cryptography research paper
- Pages: 9
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