Bitcoin security with a twisted Edwards curve. (17th February 2022)

• Record Type: Journal Article
• Authors: Semmouni, Meryem Cherkaoui; Nitaj, Abderrahmane; Belkasmi, Mostafa
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 25:Number 2(2022)
• Page Start: 353
• Page End: 371
• Publication Date: 2022-02-17
• Subjects: 94A60; Cryptography cryptocurrency Bitcoin Security Twisted Edwards curves Signature; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2019.1681673
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: The security of the Bitcoin cryptocurrency system depends on the Koblitz curve secp256k1 combined with the digital signature ECDSA and the hash function SHA-256. In this paper, we show that the security of Bitcoin with ECDSA and secp256k1 is not optimal and present a detailed study of the efficiency of Bitcoin with the digital signature algorithm Ed25519 combined with the twisted Edwards curve CurveEd25519 and the hash function SHA-512. We show that Bitcoin is more secure and more efficient with the digital signature algorithm Ed25519 and the twisted Edwards curve CurveEd25519.