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

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.