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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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dc.contributor.author Chee, Yeow Meng
dc.contributor.author Ge, Gennian
dc.contributor.author Ling, Alan C. H.
dc.date.accessioned 2009-08-11T07:50:42Z
dc.date.available 2009-08-11T07:50:42Z
dc.date.copyright 2008
dc.date.issued 2009-08-11T07:50:42Z
dc.identifier.citation Chee, Y. M., Ge, G., & Ling, A. C. H. (2008). Group divisible codes and their application in the construction of optimal constant-composition codes of weight three. IEEE Transactions on Information Theory, 54(8), 3552-3564.
dc.identifier.issn 0018-9448
dc.identifier.uri http://hdl.handle.net/10220/6042
dc.description.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.
dc.format.extent 13 p.
dc.language.iso en
dc.relation.ispartofseries IEEE transactions on information theory
dc.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.
dc.subject DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
dc.title Group divisible codes and their application in the construction of optimal constant-composition codes of weight three
dc.type Journal Article
dc.identifier.openurl http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:EBSCO_APH&id=doi:&genre=&isbn=&issn=00189448&date=2008&volume=54&issue=8&spage=3552&epage=3564&aulast=Yeow&aufirst=Meng%20Chee&auinit=&title=IEEE%20Transactions%20on%20Information%20Theory&atitle=Group%20Divisible%20Codes%20and%20Their%20Application%20in%20the%20Construction%20of%20Optimal%20Constant%2DComposition%20Codes%20of%20Weight%20Three%2E
dc.identifier.doi http://dx.doi.org/10.1109/TIT.2008.926349
dc.description.version Published version

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