六次分圆上的双循环自对偶码
Double Circulant Self-dual Codes on Sextic Cyclotomy
摘要：
本文利用六次分圆法构造了双循环自对偶码。利用六次分圆类构造了一类纯双循环码和一类有界双循环码的生成元矩阵。在一定条件下证明了这些码是自对偶的。此外，实验表明，其中一些是GF}（2）和GF}（4）上的最佳自对偶码或比以往任何时候都好的码。
英文摘要：
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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