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Bitcoin Security with a Twisted Edwards Curve

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. Subject Classifications: 94A60
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https://hal-normandie-univ.archives-ouvertes.fr/hal-02320909
Contributor : Abderrahmane Nitaj <>
Submitted on : Saturday, October 19, 2019 - 7:35:45 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM
Long-term archiving on: : Monday, January 20, 2020 - 1:32:53 PM

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Meryem Semmouni, Abderrahmane Nitaj, Mostafa Belkasmi. Bitcoin Security with a Twisted Edwards Curve. Journal of Discrete Mathematical Sciences and Cryptography, non, In press. ⟨hal-02320909⟩

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