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Journal Articles Finite Fields and Their Applications Year : 2001

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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Dates and versions

hal-00771922 , version 1 (09-01-2013)

Identifiers

  • HAL Id : hal-00771922 , version 1

Cite

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

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