Construction of linear binary codes using orthogonal systems of Latin squares
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2023-01-25 12:30
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MALYUTINA, Nadezhda, SHCHERBACOV, Alexei, SHCHERBACOV, Victor. Construction of linear binary codes using orthogonal systems of Latin squares. 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. 97-100. 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

Construction of linear binary codes using orthogonal systems of Latin squares


Pag. 97-100

Malyutina Nadezhda1, Shcherbacov Alexei2, Shcherbacov Victor3
 
1 State University „Dimitrie Cantemir”,
2 Liceul Teoretic „C.Sibirschii” din Chişinău,
3 Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
Disponibil în IBN: 1 noiembrie 2019


Rezumat

Using orthogonal systems of Latin squares we construct linear binary codes with the length of code words (n2 +(r+2)n) which can correct up to r+2 2 errors, where r ∈ N

Cuvinte-cheie
quasigroup, Latin square, binary code, vector space, error, orthogonal binary groupoids