Improvements on Generalized Hamming Weights of Some Trace Codes

  • Authors:
  • Cem Güneri;Ferruh Özbudak

  • Affiliations:
  • Faculty of Engineering and Natural Sciences, Sabanc University, Istanbul, Turkey 34956;Department of Mathematics, Middle East Technical University, Ankara, Turkey 06531

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2006

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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.