Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (10): 98-100.
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LIANG Hua
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梁 华
Abstract: Let R=F2+uF2+u2F2,the depth of a codeword and the depth distribution of linear codes over ring R are defined,a number of properties of the depth of codewords are studied,and the recursive algorithm for computing the depth of a codeword is given.Based on the linear codes over R and their generator matrices,the linear codes C1,Cu,Cu2 over F2 and their generator matrices are obtained.By using the relationship of C1,Cu,Cu2,the depth distribution and the depth spectrum of linear codes over R are discussed,moreover the depth distribution of a class of linear code over R is showed.
Key words: linear code, generator matrix, depth distribution, depth spectrum
摘要: 记R=F2+uF2+u2F2,定义了环R上码字的深度以及R上线性码的深度分布,研究了环R上码字深度的性质,给出了计算环[R]上码字深度的递归算法。利用环R上的线性码C及其生成矩阵,得到了域F2上的线性码C1,Cu,Cu2及相应的生成矩阵。通过域F2上的线性码C1,Cu,Cu2之间的关系,讨论了环R上的线性码的深度谱和深度分布,进而得到R上一类线性码的深度分布。
关键词: 线性码, 生成矩阵, 深度分布, 深度谱
LIANG Hua. Depth distributionthe of linear codes over ring F2+uF2+u2F2[J]. Computer Engineering and Applications, 2011, 47(10): 98-100.
梁 华. 环F2+uF2+u2F2上线性码的深度分布[J]. 计算机工程与应用, 2011, 47(10): 98-100.
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