| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 421336 | Discrete Applied Mathematics | 2008 | 14 Pages |
Abstract
Quasi-cyclic codes of length 5ℓ5ℓ and index ℓℓ over FqFq are obtained from a pair of codes over, respectively, FqFq and Fq4Fq4, by a combinatorial construction called here the quintic construction. They enjoy a designed trellis description and a suboptimal coset decoding algorithm. They are shown to be cyclic when the component codes are cyclic of odd length coprime to 55. Extremal binary self-dual quintic codes are constructed in lengths 60 and 70 by a randomized algorithm.
Keywords
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Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Anne Desideri Bracco, Ann Marie Natividad, Patrick Solé,