The Diffie-Hellman Key Exchange Protocol and non-abelian nilpotent groups

Ayan Mahalanobis

The Diffie-Hellman Key Exchange Protocol and non-abelian nilpotent groups

群论 2007-10-18 v3 密码学与安全

作者: Ayan Mahalanobis

摘要

In this paper we study a key exchange protocol similar to Diffie-Hellman key exchange protocol using abelian subgroups of the automorphism group of a non-abelian nilpotent group. We also generalize group no.92 of Hall-Senior table \cite{halltable}, for arbitrary prime $p$ and show that for those groups, the group of central automorphisms commute. We use these for the key exchange we are studying.

引用

@article{arxiv.math/0602282,
  title  = {The Diffie-Hellman Key Exchange Protocol and non-abelian nilpotent groups},
  author = {Ayan Mahalanobis},
  journal= {arXiv preprint arXiv:math/0602282},
  year   = {2007}
}

备注

Finally got accepted. The final version. To appear, Israel Journal of Mathematics

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