Public-key cryptosystem based on invariants of diagonalizable groups
Cryptography and Security
2016-07-12 v2
Abstract
We develop a public key cryptosystem based on invariants of diagonalizable groups and investigate properties of such cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of these cryptosystem and show that it is necessary to restrict the set of parameters of the system to prevent various attacks (including linear algebra attacks and attacks based on Euclidean algorithm).
Cite
@article{arxiv.1507.07848,
title = {Public-key cryptosystem based on invariants of diagonalizable groups},
author = {Frantisek Marko and Alexandr N. Zubkov and Martin Juras},
journal= {arXiv preprint arXiv:1507.07848},
year = {2016}
}