Jacobi polynomials for singly even self-dual codes and the covering radius problems

DOI10.1109/18.979332zbMath1064.94020OpenAlexW2098100216MaRDI QIDQ4544811

Michio Ozeki

Publication date: 4 August 2002

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.979332

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)

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Extremal self-dual \([40,20,8\) codes with covering radius 7]

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