Pell hyperbolas in DLP-based cryptosystems

DOI10.1016/j.ffa.2022.102112OpenAlexW3213297585MaRDI QIDQ2081345

Nadir Murru, Simone Dutto, Gessica Alecci

Publication date: 12 October 2022

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.09632

zbMATH Keywords

public cryptographyRédei functionElGamal schemePell hyperbola

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60)

Related Items (1)

DLP-based cryptosystems with Pell cubics

Cites Work

• An efficient and secure RSA-like cryptosystem exploiting Rédei rational functions over conics
• A note on cyclic groups, finite fields, and the discrete logarithm problem
• Fast evaluation of Rédei functions
• A multi-factor RSA-like scheme with fast decryption based on Rédei rational functions over the Pell hyperbola
• Group law on affine conics and applications to cryptography
• New variant of ElGamal signature scheme
• A Simple Generalization of the ElGamal Cryptosystem to Non-Abelian Groups II
• A Simple Generalization of the ElGamal Cryptosystem to Non-Abelian Groups
• A public key cryptosystem and a signature scheme based on discrete logarithms
• Elliptic Curve Cryptosystems
• Cryptographic applications of Brahmagupta-Bha/spl tilde/skara equation
• The MOR Cryptosystem And Extra-Specialp-Groups
• Pell's equation

This page was built for publication: Pell hyperbolas in DLP-based cryptosystems