The Higher Weight Enumerators of the Doubly-Even, Self-Dual $[48, 24, 12]$ Code
The Higher Weight Enumerators of the Doubly-Even, Self-Dual $[48, 24, 12]$ Code
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DOI：
10.1109/tit.2007.899509
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发表时间：
2007-07
影响因子：
2.5
通讯作者：
D. Britz;Thomas Britz;Keisuke Shiromoto;H. K. Sørensen
中科院分区：
文献类型：
--
作者：
D. Britz;Thomas Britz;Keisuke Shiromoto;H. K. Sørensen
给出了一种计算给定生成矩阵的线性码的高权重枚举数的有效算法。利用该算法计算了唯一双偶自对偶码的高权重枚举数。该算法是基于Tutte多项式和更高的权重枚举之间的关系。
An efficient algorithm is presented for calculating higher weight enumerators of linear codes given generator matrices. By this algorithm, the higher weight enumerators of the unique doubly-even, self-dual code are calculated. The algorithm is based on a previously shown relationship between Tutte polynomials and higher weight enumerators.