A Simple Generalization of the ElGamal Cryptosystem to Non-Abelian Groups

DOI10.1080/00927870802160883zbMath1163.94006arXivcs/0607011OpenAlexW2953094623MaRDI QIDQ3543408

Ayan Mahalanobis

Publication date: 2 December 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cs/0607011

zbMATH Keywords

unitriangular matricesMOR cryptosystem

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Cryptography (94A60)

Related Items (9)

The MOR Cryptosystem And Extra-Specialp-Groups ⋮ Public key protocols over the ring \(E_{p}^{(m)}\) ⋮ Discrete logarithms for finite groups ⋮ Algebraic cryptanalysis and new security enhancements ⋮ A construction of encryption protocols over some semidirect products ⋮ A NONLINEAR DECOMPOSITION METHOD IN ANALYSIS OF SOME ENCRYPTION SCHEMES USING GROUP AUTOMORPHISMS ⋮ Pell hyperbolas in DLP-based cryptosystems ⋮ Conjugacy systems based on nonabelian factorization problems and their applications in cryptography ⋮ A Simple Generalization of the ElGamal Cryptosystem to Non-Abelian Groups II

Uses Software

• GAP

Cites Work

• Unnamed Item
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• Another look at ``provable security
• The Diffie-Hellman key exchange protocol and non-Abelian nilpotent groups
• On the security of cryptosystem using automorphism groups
• A note on cyclic groups, finite fields, and the discrete logarithm problem
• Outer automorphisms of upper triangular matrices
• Security Analysis of the MOR Cryptosystem
• On the Security of MOR Public Key Cryptosystem

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