English

Some applications of arithmetic groups in cryptography

Group Theory 2019-02-26 v2

Abstract

In this paper we will give various examples of exponentially distorted subgroups in linear groups, including some new example of subgroups of SLn(Z[x])SL_n(\mathbb{Z}[x]) for n3n \ge 3, and show how they can be used to construct symmetric-key cryptographic platforms.

Keywords

Cite

@article{arxiv.1803.11528,
  title  = {Some applications of arithmetic groups in cryptography},
  author = {Delaram Kahrobaei and Keivan Mallahi-Karai},
  journal= {arXiv preprint arXiv:1803.11528},
  year   = {2019}
}
R2 v1 2026-06-23T01:09:57.803Z