On self-dual double circulant codes

March 02, 2016 Β· Declared Dead Β· πŸ› Designs, Codes and Cryptography

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Authors Adel Alahmadi, Funda Γ–zdemir, Patrick SolΓ© arXiv ID 1603.00762 Category cs.IT: Information Theory Citations 42 Venue Designs, Codes and Cryptography Last Checked 3 months ago
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 and used to show they contain families of codes with relative distance satisfying a modified Gilbert-Varshamov bound.
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