Optimal ternary constant-composition codes with weight four and distance three
Optimal ternary constant-composition codes with weight four and distance three
复制标题
权重为 4、距离为 3 的最优三元常量组合码
DOI：
10.1016/j.disc.2018.12.021
复制
发表时间：
2019
影响因子：
0.8
通讯作者：
Lijun Ji
中科院分区：
文献类型：
--
作者：
Miao Liang;Lijun Ji
为了刻画权值为4、距离为3、组成为3的三元常数-组成码[3,1]，引入了良好超大集不相交填充三重系统（OLPTS）的概念。同时给出了一种通过风扇设计的递归结构。完全图的4循环自由一分解也用于构造权值为4、距离为3、组合为[2,2]的最优三元常数组合码。从而得到了权值为4、距离为3的无限类最优三元常数组合码。
A concept of good overlarge set of disjoint packing triple systems (OLPTS) is introduced in order to characterize a ternary constant-composition code with weight four, distance three and the composition [3, 1]. A recursive construction for good OLPTSs via fan designs is also given. 4-cycle free one-factorizations of the complete graphs are also used to construct optimal ternary constant-composition codes with weight four distance three and the composition [2, 2]. Consequently, a few infinite classes of optimal ternary constant-composition codes with weight four and distance three are obtained.