Email this article Towards an operad-based cryptography: Applications of commutative operads
- 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 3 (2016)
- Pages: 234-239
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197609
- DOI: https://doi.org/10.1134/S1995080216030100
- ID: 197609
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Abstract
In this paper we show the use of commutative operads in public-key cryptography. Commutative operads were introduced by S.N. Tronin in 2006. They are a special case of algebraic operads and a natural generalization of commutative algebraic theories. We consider some cryptographic protocols based on commutative operads. For the protocol of the creation a common secret key, we describe and investigate its implementation and cryptographic security in particular cases.
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
Author for correspondence.
Email: Serge.Tronin@kpfu.ru
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008
