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Improvements on Generalized Hamming Weights of Some Trace Codes
Authors:Cem Güneri  Ferruh Özbudak
Institution:1. Faculty of Engineering and Natural Sciences, Sabanc? University, Tuzla, 34956, ?stanbul, Turkey
2. Department of Mathematics, Middle East Technical University, ?n?nü Bulvar?, 06531, Ankara, Turkey
Abstract:We obtain improved bounds for the generalized Hamming weights of some trace codes which include a large class of cyclic codes over any finite field. In particular, we improve the corresponding bounds of Stichtenoth and Voss 8] using various methods altogether.
Keywords:trace codes  cyclic codes  divisibility  generalized Hamming weights  algebraic function field
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