Linear Codes with Covering Radius and Codimension
Linear Codes with Covering Radius and Codimension
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发表时间：
2001
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通讯作者：
G. Cohen;I. Honkala;S. Litsyn;A. Lobstein;F. MacWilliams;N. Sloane;E. Berlekamp;A. Davydov;P. Ös
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作者：
G. Cohen;I. Honkala;S. Litsyn;A. Lobstein;F. MacWilliams;N. Sloane;E. Berlekamp;A. Davydov;P. Ös
设[]表示具有长度、余维和覆盖半径的线性码。我们利用对[2+1 2 3]2和[3+1 3 5]3码(5)的构造的修改，产生覆盖半径为2和3且余维为3的良码的无穷族。
Let [ ] denote a linear code over with length , codimension , and covering radius . We use a modification of constructions of [2 +1 2 3] 2 and [3 +1 3 5] 3 codes ( 5) to produce infinite families of good codes with covering radius 2 and 3 and codimension .