Cryptographic Algorithms on Groups and Algebras

A. S. Kuzmin; V. T. Markov; A. A. Mikhalev; A. V. Mikhalev; A. A. Nechaev

doi:10.1007/s10958-017-3371-y

Cryptographic Algorithms on Groups and Algebras

Authors: Kuzmin A.S.¹, Markov V.T.², Mikhalev A.A.², Mikhalev A.V.², Nechaev A.A.²
Affiliations:
1. Academy of Cryptography of Russia
2. Moscow State University
Issue: Vol 223, No 5 (2017)
Pages: 629-641
Section: Article
URL: https://journals.rcsi.science/1072-3374/article/view/239399
DOI: https://doi.org/10.1007/s10958-017-3371-y
ID: 239399

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

Abstract

We analyze algorithms for open construction of a key on some noncommutative group. Algorithms of factorization and decomposition for associative algebras (of small dimension) are considered. A survey of applications (in particular, in cryptography) of so-called “hidden matrices” is given.