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Construction of strongly optimal binary linear code with sets representation.

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Název:	Construction of strongly optimal binary linear code with sets representation.
Autoři:	Utomo, Putranto Hadi, Guritman, Sugi, Mas'oed, Teduh Wulandari, Sumarno, Hadi, Indriati, Diari, Kusmayadi, Tri Atmojo, Sutrima, Sutrima, Saputro, Dewi Retno Sari
Zdroj:	AIP Conference Proceedings; 2020, Vol. 2326 Issue 1, p1-4, 4p
Témata:	BINARY codes, LINEAR codes, CONSTRUCTION, MAXIMA & minima
Abstrakt:	A binary linear code of length n over Fq is a subspace of F q n . A code has three parameters that attached to it, namely length, dimension, and minimum distance. A code with length n, dimension k and minimum distance d is often called [n, k, d]- code. Usually, when two parameters are given, then we want to find a code that has the best value for the last parameter. Based on Gilbert-Varshamov bound, if a [n, k, d]-code exists and can not be expanded, we call it a strongly optimal code. In this paper, we created a theorem based on Gilbert-Varshamov bound for the sets representation. [ABSTRACT FROM AUTHOR]
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Databáze:	Complementary Index

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