Extremal doubly-even [80,40,16] codes with an automorphism of order 19

Extremal doubly-even [80,40,16] codes with an automorphism of order 19
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具有 19 阶自同构的极值双偶 [80,40,16] 码

DOI:
10.1016/s1071-5797(02)00018-7
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发表时间:
2003
影响因子:
1
通讯作者:
M. Harada
M. Harada
中科院分区:
数学2区
文献类型:
--
作者:
R. Dontcheva;M. Harada

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本文证明了存在11个自同构阶为19的极值双偶自对偶[80,40,16]码,并且这些码是新的.同时也得到了这类码的自同构群。
In this paper, it is shown that there are 11 extremal doubly-even self-dual [80,40,16] codes with an automorphism of order 19, up to equivalence, and the codes are new. The automorphism groups of the codes are also obtained.