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On Self-Dual Four Circulant Codes.

Authors :
Shi, Minjia
Zhu, Hongwei
Qian, Liqin
Solé, Patrick
Source :
International Journal of Foundations of Computer Science. Nov2018, Vol. 29 Issue 7, p1143-1150. 8p.
Publication Year :
2018

Abstract

Four circulant codes form a special class of 2 -generator, index 4 , quasi-cyclic codes. Under some conditions on their generator matrix they can be shown to be self-dual. Artin primitive root conjecture shows the existence of an infinite subclass of these codes satisfying a modified Gilbert–Varshamov bound. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01290541
Volume :
29
Issue :
7
Database :
Academic Search Index
Journal :
International Journal of Foundations of Computer Science
Publication Type :
Academic Journal
Accession number :
132939370
Full Text :
https://doi.org/10.1142/S0129054118500259