论文标题
六循环切开术的双循环自偶偶联代码
Double Circulant Self-dual Codes on Sextic Cyclotomy
论文作者
论文摘要
本文有助于通过六循环切开术构建双循环自偶偶联代码。纯双循环码的家族和具有边界的双循环代码家族的发电机矩阵由六循环类别形成。在某些条件下，这些代码被证明是自动划分的。此外，实验表明，其中一些是最佳的自偶代码，或者比GF}（2）和GF}（4）的代码最佳。
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).
