Improvements on Generalized Hamming Weights of Some Trace Codes
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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  using various methods altogether.
Keywordstrace codes cyclic codes divisibility generalized Hamming weights algebraic function field
AMS Classification94B27 11R58 11T71
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- 3.I. Duursma, H. Stichtenoth and C. Voss, Generalized Hamming weights for duals of BCH, and maximal algebraic function fields, In (R. Pellikaan, M. Perret and S.G. Vlăduţ eds.), Arithmetic Geometry and Coding Theory, (1996) pp. 53–65.Google Scholar
- 7.Stichtenoth, H. 1993Algebraic Function Fields and CodesSpringerBerlinGoogle Scholar
- 10.J. Wolfmann, New bounds on cyclic codes from algebraic curves, In Lecture Notes in Computer Science, Vol. 388, Springer-Verlag, New York. (1988) pp. 47–62.Google Scholar