On Defining 4-Dimensional Finite Non-Commutative Associative Algebras Over GF(2s)

Shcherbacov Victor; Moldovyan Alexandr; Shcherbacov Victor

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SHCHERBACOV, Victor, MOLDOVYAN, Alexandr, SHCHERBACOV, Victor. On Defining 4-Dimensional Finite Non-Commutative Associative Algebras Over GF(2s). In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 101-108. ISBN 978-9975-68-378-4.

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Proceedings IMCS-55 2019

Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 28 septembrie - 1 octombrie 2019

On Defining 4-Dimensional Finite Non-Commutative Associative Algebras Over GF(2s)

Pag. 101-108

Shcherbacov Victor¹, Moldovyan Alexandr², Shcherbacov Victor¹

¹ Vladimir Andrunachievici Institute of Mathematics and Computer Science,
² Institute for Informatics and Automation of Russian Academy of Sciences Sankt Petersburg

Disponibil în IBN: 1 noiembrie 2019

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Rezumat

Finite non-commutative associative algebras are attractive as carriers of the post-quantum public-key cryptoschemes. The 4dimensional algebras defined over the fields GF(2s) represent practical interest to provide higher performance. Properties of several different algebras of such type are considered.

Cuvinte-cheie
non-commutative algebra, 4-dimensional associative algebra, post-quantum cryptoscheme