Some new bounds on LCD codes over finite fields
April 03, 2018 Β· Declared Dead Β· π Cryptography and Communications
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Authors
Binbin Pang, Shixin Zhu, Xiaoshan Kai
arXiv ID
1804.00799
Category
cs.IT: Information Theory
Citations
18
Venue
Cryptography and Communications
Last Checked
3 months ago
Abstract
In this paper, we show that LCD codes are not equivalent to linear codes over small finite fields. The enumeration of binary optimal LCD codes is obtained. We also get the exact value of LD$(n,2)$ over $\mathbb{F}_3$ and $\mathbb{F}_4$. We study the bound of LCD codes over $\mathbb{F}_q$.
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