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arXiv · 2006.07768

Double Circulant Self-dual Codes on Sextic Cyclotomy

Tongjiang Yan·Tao Wang·Wenpeng Gao·Xvbo Zhao
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Abstract

This paper contributes to construct double circulant self-dual codes by sextic cyclotomy. Generator matrixes of a family of pure double circulant codes and a family of double circulant codes with boundary are formed from sextic cyclotomic classes. These codes are proved to be self-dual on certain conditions. Moreover, experiments show that some of them are optimal self-dual codes or best than ever codes over GF}(2) and GF}(4).

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Tongjiang Yan, Tao Wang, Wenpeng Gao, Xvbo Zhao. 2020-06-14. Double Circulant Self-dual Codes on Sextic Cyclotomy. https://arxiv.org/abs/2006.07768

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