计算机工程与应用2011，Vol.47Issue(10)：98-100,105,4.DOI:10.3778/j.issn.1002-8331.2011.10.028
环F2+uF2+u2F2上线性码的深度分布
Depth distributionthe of linear codes over ring F2+uF2+U2F2.
摘要
Abstract
LetR=F2+uF2+u2+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.关键词
线性码/生成矩阵/深度分布/深度谱Key words
linear code/ generator matrix/ depth distribution/ depth spectrum分类
信息技术与安全科学引用本文复制引用
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):98-100,105,4.基金项目
国家自然科学基金(the National Natural Science Foundation of China under Grant No.60971123) （the National Natural Science Foundation of China under Grant No.60971123）
教育部科学技术研究重点项目(No.208045) （No.208045）
江苏省自然科学基金(No.BK2008208) （No.BK2008208）
东南大学移动通信国家重点实验室开放课题(No.W200819). （No.W200819）
