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Binary Quasi-Cyclic Goppa Codes
Authors:Grégoire Bommier  Francis Blanchet
Affiliation:(1) INRIA, Codes, Domaine de Voluceau-Rocquencourt, BP 105 - 78153 Le Chesnay, FRANCE
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.
Keywords:Goppa code  quasi-cyclic code  linear code
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