On the minimum distances of binary optimal LCD codes with dimension 5

Let $ d_{a}(n, 5) $ and $ d_{l}(n, 5) $ be the minimum weights of optimal binary $ [n, 5] $ linear codes and linear complementary dual (LCD) codes, respectively. This article aims to investigate $ d_{l}(n, 5) $ of some families of binary $ [n, 5] $ LCD codes when $ n = 31s+t\geq 14 $ with $ s $ inte...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Yang Liu, Ruihu Li, Qiang Fu, Hao Song
Format:	Article
Language:	English
Published:	AIMS Press 2024-06-01
Subjects:	optimal code lcd code hull dimension defining vector reduced code
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2024933?viewType=HTML