The Weight Enumerators for Several Clauses of Subcodes of the 2nd Order Binary Reed-Muller Codes
The Weight Enumerators for Several Clauses of Subcodes of the 2nd Order Binary Reed-Muller Codes
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DOI：
10.1016/s0019-9958(71)90473-6
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发表时间：
1971-05
期刊：
影响因子：
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通讯作者：
T. Kasami
中科院分区：
文献类型：
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作者：
T. Kasami
本文导出了二阶二元Reed-Muller码的几类子码的重量计数子的显式公式。一个大的代码集显示具有相同的重量枚举。本文研究的码类包括（0，2）阶Euclidean Geonaerodian码和Berlekamp研究的码作为子类。
In this paper explicit formulas for the weight enumerators for several classes of subcodes of the 2nd-order binary Reed-Muller codes are derived. A large set of the codes are shown to have the same weight enumerators. The classes of codes studied in this paper contain the (0, 2) th-order Euclidean Geonaetry codes and the codes studied by Berlekamp as subclasses.