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Optimal ternary constant-composition codes with weight four and distance three.
- Source :
-
Discrete Mathematics . Apr2019, Vol. 342 Issue 4, p1079-1088. 10p. - Publication Year :
- 2019
-
Abstract
- Abstract 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 342
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 134733798
- Full Text :
- https://doi.org/10.1016/j.disc.2018.12.021