Extremal self-dual codes with the smallest covering radius
Extremal self-dual codes with the smallest covering radius
复制标题
最小覆盖半径极值自对偶码
DOI：
10.1016/s0012-365x(99)00318-0
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
M. Ozeki
中科院分区：
文献类型：
--
作者：
M. Harada;M. Ozeki
本文给出了一个覆盖半径为7的极值双偶[40，20，8]码。该码是第一个覆盖半径不满足Delsarte界的极值双偶码。给出了具有最小覆盖半径的极值单偶码。其中之一是覆盖半径为7的极值单偶[44，22，8]码，它通过打孔确定t[43，22]=6。
In this note, an extremal doubly-even [40,20,8] code with covering radius 7 is given. This code is the first extremal doubly-even code whose covering radius does not meet the Delsarte bound. Extremal singly-even codes with the smallest covering radius are also given. One of them is an extremal singly-even [44,22,8] code with covering radius 7, which determines t[43,22]=6 by puncturing.