The lengths of Hermitian Self-Dual Extended Duadic Codes

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dc.creatorDicuangco, Lilibeth
dc.creatorMoree, Pieter
dc.creatorSole, Patrick
dc.date2005-11-11
dc.date2006-05-09
dc.date.accessioned2026-07-07T07:38:33Z
dc.date.available2026-07-07T07:38:33Z
dc.descriptionDuadic codes are a class of cyclic codes that generalizes quadratic residue codes from prime to composite lengths. For every prime power q, we characterize the integers n such that over the finite field with q^2 elements there is a duadic code of length n having an Hermitian self-dual parity-check extension. We derive using analytic number theory asymptotic estimates for the number of such n as well as for the number of lengths for which duadic codes exist.
dc.descriptionTo appear in the Journal of Pure and Applied Algebra. 21 pages and 1 Table. Corollary 4.9 and Theorem 5.8 have been added. Some small changes have been made
dc.identifierhttps://arxiv.org/abs/math/0511295
dc.identifierhttp://arxiv.org/abs/math/0511295
dc.identifierJ. Pure Appl. Algebra 209 (2007), 223-237
dc.identifierdoi:10.1016/j.jpaa.2006.05.024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121125
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject11N64; 94B15; 11N37
dc.titleThe lengths of Hermitian Self-Dual Extended Duadic Codes
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