Group divisible codes and their application in the construction of optimal constant-composition codes of weight three
Chee, Yeow Meng
Ling, Alan C. H.
Date of Issue2008
The concept of group divisible codes, a generalization of group divisible designs with constant block size, is introduced in this paper. This new class of codes is shown to be useful in recursive constructions for constant-weight and constant-composition codes. Large classes of group divisible codes are constructed which enabled the determination of the sizes of optimal constant-composition codes of weight three (and specified distance), leaving only four cases undetermined. Previously, the sizes of constant-composition codes of weight three were known only for those of sufficiently large length.
IEEE transactions on information theory
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