Optimal ternary constant-composition codes with weight four and distance three

被引：1
|
作者：
Liang, Miao [1 ,2 ]
Ji, Lijun [1 ]
机构：
[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
[2] Suzhou Vocat Univ, Dept Math & Phys, Suzhou 215104, Peoples R China
来源：
DISCRETE MATHEMATICS | 2019年 / 342卷 / 04期
关键词：
Constant-composition code; Overlarge set of packing triple system; One-factorization; k-cycle free; LARGE SETS; LOWER BOUNDS; CONSTRUCTIONS; COMPLETION; PARTITIONS; EXISTENCE; PACKINGS; SPECTRUM; SYSTEMS; TRIPLES;
D O I：
10.1016/j.disc.2018.12.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：1079 / 1088
页数：10
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