All Z4 Codes of Type II and Length 16 Are Known
All Z4 Codes of Type II and Length 16 Are Known
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所有类型 II 和长度 16 的 Z4 代码都是已知的
DOI：
10.1006/jcta.1996.2750
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
J. Fields
中科院分区：
文献类型：
--
作者：
V. Pless;J. Leon;J. Fields
我们证明了在长度为16的Z4上有133个不等价的II型码。我们给出了每种类型4i·2j的个数，其中2i+j=16，每个码的生成矩阵，其自同构群的阶，以及其最小Lee重量。给出了每个码的（部分）对称权计数器。这些码中最高的最小Lee重量是8，并且有5个不等价码达到该最高Lee重量。提出了一种确定Z4码自同构群的新算法
We show that there are 133 inequivalent Type II codes over Z4of length 16. We give the number of each type 4i·2j, where 2i+j=16, a generator matrix for each code, the order of its automorphism group, and its minimum Lee weight. A (partial) symmetrized weight enumerator of each code is given. The highest minimum Lee weight amongst these codes is 8, and there are 5 inequivalent codes attaining this highest Lee weight. A new computer algorithm to determine the automorphism group of a Z4code was used