Finite automata over magmas: models and some applications in Cryptography

In the paper the families of finite semi-automata and reversible finite Mealy and Moore automata over finite magmas are defined and analyzed in detail. On the base of these models it is established that the set of finite quasigroups is the most acceptable subset of the set of finite magmas at resolv...

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Bibliographic Details
Main Authors: Volodymyr V. Skobelev, Volodymyr G. Skobelev
Format: Article
Language:English
Published: Vladimir Andrunachievici Institute of Mathematics and Computer Science 2018-05-01
Series:Computer Science Journal of Moldova
Subjects:
Online Access:http://www.math.md/files/csjm/v26-n1/v26-n1-(pp77-92).pdf
Description
Summary:In the paper the families of finite semi-automata and reversible finite Mealy and Moore automata over finite magmas are defined and analyzed in detail. On the base of these models it is established that the set of finite quasigroups is the most acceptable subset of the set of finite magmas at resolving model problems in Cryptography, such as design of iterated hash functions and stream ciphers. Defined families of finite semi-automata and reversible finite automata over finite $T$-quasigroups are investigated in detail. It is established that in this case models time and space complexity for simulation of the functioning during one instant of automaton time can be much lower than in general case.
ISSN:1561-4042