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The lengths of Hermitian self-dual extended duadic codes |
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| Authors: | Lilibeth Dicuangco |
| Institution: | a Mathematics Department, University of the Philippines, Diliman, Quezon City, 1101, Philippines b Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany c CNRS, I3S ESSI, BP 145, Route des Colles, 06 903 Sophia Antipolis, France |
| Abstract: | Duadic codes are a class of cyclic codes that generalize quadratic residue codes from prime to composite lengths. For every prime power q, we characterize integers n such that there is a duadic code of length n over Fq2 with a Hermitian self-dual parity-check extension. We derive asymptotic estimates for the number of such n as well as for the number of lengths for which duadic codes exist. |
| Keywords: | 11N64 94B15 11N37 |
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