Proof of Conjectures on the True Dimension of Some Binary Goppa Codes |
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| Authors: | Email author" target="_blank">P?VéronEmail author |
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| Institution: | (1) Groupe de Recherche en Informatique et Mathématiques (GRIM), Université de Toulon-Var, B.P. 132, 83957, La Garde, Cedex, France |
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| Abstract: | There is a classical lower bound on the dimension of a binary Goppa code. We survey results on some specific codes whose dimension exceeds this bound, and prove two conjectures on the true dimension of two classes of such codes.Part of this work has been presented at the Sixth International Conference on Finite Fields and Applications, Oaxaca, Mexico, May 2001.AMS classification: 94B65 |
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| Keywords: | Goppa codes trace operator redundancy equation parameters of Goppa codes |
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