Some new platforms for algebraic cryptography and one method of increasing the security
- Authors: Gaynullina A.R.1, Tronin S.N.1
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Affiliations:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- Issue: Vol 37, No 6 (2016)
- Pages: 768-776
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198529
- DOI: https://doi.org/10.1134/S1995080216060123
- ID: 198529
Cite item
Abstract
In this paper we discuss the possibility of using the categorical groupoids and the commutative operads in algebraic cryptography. Also, we introduce a general method of constructing the cryptographic protocols on the algebraic platforms. Under certain reasonable assumptions, this method allows to get a new sufficiently cryptographically strong protocol using several other protocols. Moreover, each of these protocols can be vulnerable. Sufficient cryptographic security means that the protocol will be protected for some preassigned finite time.
About the authors
A. R. Gaynullina
N.I. Lobachevskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: GaynullinaAlina@gmail.com
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008
S. N. Tronin
N.I. Lobachevskii Institute of Mathematics and Mechanics
Email: GaynullinaAlina@gmail.com
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008