Binary Quasi-Cyclic Goppa Codes |
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Authors: | Grégoire Bommier Francis Blanchet |
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Affiliation: | (1) INRIA, Codes, Domaine de Voluceau-Rocquencourt, BP 105 - 78153 Le Chesnay, FRANCE |
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Abstract: | We obtain here a necessary and sufficient condition for a certain class of binary Goppa code to be quasi-cyclic. We also give another sufficient condition which is easier to check. We define a class of quasi-cyclic Goppa codes. We find the true dimension for a part of those quasi-cyclic codes. and also a class of extended quasi-cyclic codes the minimum distance of which is equal to the designed distance. |
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Keywords: | Goppa code quasi-cyclic code linear code |
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