A new cryptosystem based on a twisted Hessian curve \(H^4_{a,d}\)

DOI10.1007/s12190-021-01624-8zbMath1498.94063OpenAlexW3201754920MaRDI QIDQ2089214

Hakima Mouanis, Abdelhakim Chillali, Abdelâli Grini

Publication date: 6 October 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01624-8

zbMATH Keywords

cryptographyelliptic curveencryptionfinite ringdecryptiontwisted Hessian curvesCramer-Shoup

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Cites Work

• Complete addition law for Montgomery curves
• Pairing-friendly twisted Hessian curves
• Discrete logarithms: The past and the future
• The state of elliptic curve cryptography
• Isogeny formulas for Jacobi intersection and twisted Hessian curves
• Twisted Hessian Curves
• The Arithmetic of Elliptic Curves
• New directions in cryptography
• Design and Analysis of Practical Public-Key Encryption Schemes Secure against Adaptive Chosen Ciphertext Attack
• Advances in Cryptology - EUROCRYPT 2004
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