Alahmadi, Adel and Özdemir, Funda and Solé, Patrick (2018) On self-dual double circulant codes. Designs, Codes, and Cryptography, 86 (6). pp. 1257-1265. ISSN 0925-1022 (Print) 1573-7586 (Online)
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Official URL: https://dx.doi.org/10.1007/s10623-017-0393-x
Abstract
Self-dual double circulant codes of odd dimension are shown to be dihedral in even characteristic and consta-dihedral in odd characteristic. Exact counting formulae are derived for them, generalizing some old results of MacWilliams on the enumeration of circulant orthogonal matrices. These formulae, in turn, are instrumental in deriving a Varshamov–Gilbert bound on the relative minimum distance of this family of codes.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Artin primitive root conjecture; Consta-dihedral codes; Dihedral group; Quasi-cyclic codes |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Funda Özdemir |
| Date Deposited: | 16 May 2023 15:09 |
| Last Modified: | 16 May 2023 15:09 |
| URI: | https://research.sabanciuniv.edu/id/eprint/45583 |
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On self-dual double circulant codes. (deposited 09 Sep 2017 21:54)
- On self-dual double circulant codes. (deposited 16 May 2023 15:09) [Currently Displayed]
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