Classification of Extremal Double Circulant Self-Dual Codes of Lengths 64 to 72

Classification of Extremal Double Circulant Self-Dual Codes of Lengths 64 to 72
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DOI:
10.1023/a:1008249924142
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发表时间:
1998-03
期刊:
Designs, Codes and Cryptography
影响因子:
--
通讯作者:
T. Gulliver;M. Harada
T. Gulliver;M. Harada
中科院分区:
其他
文献类型:
--
作者:
T. Gulliver;M. Harada

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最近,长度n ≤ 62的极值双循环自对偶码被分类。本文给出了长度为64 ~ 72的极值双循环自对偶码的完全分类。几乎所有的极值双循环单偶码给出的重量枚举的极值码是以前不知道存在的。
Recently extremal double circulant self-dual codes have been classified for lengths n ≤ 62. In this paper, a complete classification of extremal double circulant self-dual codes of lengths 64 to 72 is presented. Almost all of the extremal double circulant singly-even codes given have weight enumerators for which extremal codes were not previously known to exist.