Some new bounds on LCD codes over finite fields

April 03, 2018 Β· Declared Dead Β· πŸ› 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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