A unied method for setting nite non-commutative associative algebras and their properties
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512.552.18+512.624.5 (2)
Algebra (410)
SM ISO690:2012
A unied method for setting nite non-commutative associative algebras and their properties. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 2(42), pp. 293-308. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 27, Numărul 2(42) / 2019 / ISSN 1561-2848

A unied method for setting nite non-commutative associative algebras and their properties

CZU: 512.552.18+512.624.5

Pag. 293-308

 
 
 
Disponibil în IBN: 25 martie 2020


Rezumat

A unied method for dening a class of the nite non-commutative associative algebras of dierent even dimensions m > 6 is proposed to extend the set of potential algebraic supports of the public-key cryptographic algorithms and protocols based on the hidden discrete logarithm problem. The introduced method sets the algebras containing a large set of the global left-sided units. A particular version of the method denes the algebras with parametrizable multiplication operation all modication of which are mutually associative. The cases m = 6 and m = 10 are detaily considered.