Self-dual codes over Fp and weighing matrices

Self-dual codes over Fp and weighing matrices
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DOI:
10.1109/18.930940
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发表时间:
2001-07
期刊:
IEEE Trans. Inf. Theory
影响因子:
--
通讯作者:
K. Arasu;T. Gulliver
K. Arasu;T. Gulliver
中科院分区:
其他
文献类型:
--
作者:
K. Arasu;T. Gulliver

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以前,自对偶码是由Hadamard矩阵构造的。在这种通信中,提出了由加权矩阵,特别是会议矩阵构造的码。给出了这些码是自对偶的一个必要条件,并给出了长度不超过40的例子。还考虑了由所有n/spl /13阶加权矩阵构成的码。
Previously, self-dual codes have been constructed from Hadamard matrices. In this correspondence, codes constructed from weighing matrices, and in particular conference matrices are presented. A necessary condition for these codes to be self-dual is given, and examples are given for lengths up to 40. Codes constructed from all weighing matrices of order n/spl les/13 are also considered.