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
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.