On some self-dual codes and unimodular lattices in dimension 48
On some self-dual codes and unimodular lattices in dimension 48
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DOI：
10.1016/j.ejc.2004.06.013
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发表时间：
2005-07
期刊：
影响因子：
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通讯作者：
M. Harada;Masaaki Kitazume;A. Munemasa;B. Venkov
中科院分区：
文献类型：
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作者：
M. Harada;Masaaki Kitazume;A. Munemasa;B. Venkov
本文通过它们的阴影和邻域研究了48维二元极值自对偶码和48维极值幺模格。我们将一个其阴影具有最小权重为4的极值单偶自对偶[48，24，10]码与一个极值双偶自对偶[48，24，12]码联系起来。它还表明，一个极端奇幺模格在48维的阴影有最小范数2涉及到一个极端偶幺模格。研究了具有最小权为8的阴影的极值单偶自对偶[48，24，10]码和具有最小模为4的阴影的48维极值奇幺模格.
In this paper, binary extremal self-dual codes of length 48 and extremal unimodular lattices in dimension 48 are studied through their shadows and neighbors. We relate an extremal singly even self-dual [48, 24, 10] code whose shadow has minimum weight 4 to an extremal doubly even self-dual [48, 24, 12] code. It is also shown that an extremal odd unimodular lattice in dimension 48 whose shadow has minimum norm 2 relates to an extremal even unimodular lattice. Extremal singly even self-dual [48, 24, 10] codes with shadows of minimum weight 8 and extremal odd unimodular lattice in dimension 48 with shadows of minimum norm 4 are investigated.