Classification of the elements of the twisted Hessian curves in the ring \(\mathbb{F}_q[e]\), \(e^3=e^2\)

DOI10.5269/BSPM.62308MaRDI QIDQ6596934

Lhoussain El Fadil, A. Chillali, Moha Ben Taleb El Hamam

Publication date: 3 September 2024

Published in: Boletim da Sociedade Paranaense de Matemática. Terceira Série (Search for Journal in Brave)

zbMATH Keywords

finite fieldcryptographylocal ringfinite ringtwisted Hessian curves

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Cites Work

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• Pairing-friendly twisted Hessian curves
• A new cryptosystem based on a twisted Hessian curve \(H^4_{a,d}\)
• Twisted edwards curve over the ring
• Twisted Hessian Curves
• Faster Addition and Doubling on Elliptic Curves
• A normal form for elliptic curves

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