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On the generalized weights of a class of trace codes

Abstract : We build a class of codes using hermitian forms and the functional trace code. Then we give a general expression of the r-th minimum distance of our code and compute general bounds for the weight hierarchy by using exponential sums. We also get the minimum distance and calculate the r-th generalized Hamming weight dr in some special cases.
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Submitted on : Wednesday, January 9, 2013 - 3:50:01 PM
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  • HAL Id : hal-00771922, version 1



Jean-Pierre Cherdieu, Dany-Jack Mercier, T. Narayaninsamy. On the generalized weights of a class of trace codes. Finite Fields and Their Applications, Elsevier, 2001, 7, pp.355-371. ⟨hal-00771922⟩



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