On a 5-design related to an extremal doubly even self-dual code of length 72
On a 5-design related to an extremal doubly even self-dual code of length 72
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DOI：
10.1016/j.jcta.2004.03.005
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发表时间：
2004-07
期刊：
影响因子：
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通讯作者：
M. Harada;Masaaki Kitazume;A. Munemasa
中科院分区：
文献类型：
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作者：
M. Harada;Masaaki Kitazume;A. Munemasa
结果表明，如果存在自正交5-(72,16,78)设计，则其块点关联矩阵的行生成长度为72的极值双偶自对偶码。换句话说，长度为72的假定极值双偶自对偶码是由最小权码字生成的。
It is shown that if there is a self-orthogonal 5-(72,16,78) design, then the rows of its block-point incidence matrix generate an extremal doubly even self-dual code of length 72. In other words, a putative extremal doubly even self-dual code of length 72 is generated by the codewords of minimum weight.