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Group divisible codes and their application in the construction of optimal constant-composition codes of weight three

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Group divisible codes and their application in the construction of optimal constant-composition codes of weight three

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Title: Group divisible codes and their application in the construction of optimal constant-composition codes of weight three
Author: Chee, Yeow Meng; Ge, Gennian; Ling, Alan C. H.
Copyright year: 2008
Abstract: 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.
Subject: DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
Type: Journal Article
Series/ Journal Title: IEEE transactions on information theory
Rights: IEEE Transactions on Information Theory © copyright IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. http://www.ieee.org/portal/site.
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