The Diffie-Hellman key exchange protocol and non-Abelian nilpotent groups

DOI10.1007/s11856-008-1008-zzbMath1189.94045arXivmath/0602282OpenAlexW2128935257MaRDI QIDQ940767

Ayan Mahalanobis

Publication date: 3 September 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602282

zbMATH Keywords

key exchange protocolgroup of central automorphismsnon-Abelian nilpotent group

Mathematics Subject Classification ID

Cryptography (94A60) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (12)

A nonlinear decomposition attack ⋮ Public key protocols over the ring \(E_{p}^{(m)}\) ⋮ Discrete logarithms for finite groups ⋮ Cryptanalysis of a combinatorial public key cryptosystem ⋮ A Simple Generalization of the ElGamal Cryptosystem to Non-Abelian Groups ⋮ A NONLINEAR DECOMPOSITION METHOD IN ANALYSIS OF SOME ENCRYPTION SCHEMES USING GROUP AUTOMORPHISMS ⋮ Linear decomposition method in analyzing hidden information protocols on algebraic platforms ⋮ On finite \(p\)-groups whose automorphisms are all central. ⋮ Two general schemes of algebraic cryptography ⋮ Unnamed Item ⋮ ON FINITE p-GROUPS WITH ABELIAN AUTOMORPHISM GROUP ⋮ A module-theoretic approach to abelian automorphism groups.

Uses Software

• GAP

Cites Work

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• The occurrence of finite groups in the automorphism group of nilpotent groups of class 2
• On \(p\)-groups with abelian automorphism group
• The state of elliptic curve cryptography
• Automorphisms of a \(p\)-group
• Combinatorial group theory and public key cryptography
• Some new non-abelian 2-groups with abelian automorphism groups
• Easy Decision Diffie-Hellman Groups
• Advances in Cryptology - CRYPTO 2003
• The Central Automorphisms of a Finite Group
• Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato
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