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| 512.554+519.711+517.9 (1) |
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 SM ISO690:2012MOLDOVYAN, Nikolay. Uni ed method for de ning nite associative algebras of arbitrary even dimensions. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 2(40), pp. 263-270. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 26, Numărul 2(40) / 2018 / ISSN 1561-2848 | ||||||
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| CZU: 512.554+519.711+517.9 | ||||||
| Pag. 263-270 | ||||||
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There is introduced a general method for de ning nite associative algebras of arbitrary even dimension. The method consists in de ning the multiplication operation in the nite vector space of even dimension with using some uni ed basis vector multiplication table. In the cases m = 2 and m = 4 the constructed algebras are commutative rings. In the cases m > 6 the algebras are non-commutative rings. Finite non-commutative associative algebras of dimension greater or equal to 6 are useful for de ning discrete logarithm problem in hidden cyclic group which is attractive as primitive of the post-quantum cryptographic algorithms and protocols. |
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