Weight distribution of the hermitian Reed-Muller code

Abstract : We recall the construction of the Reed-Muller hermitian codes and some results about hermitians forms and exponential sums. With the help of these results, we give the weight distribution of the Reed-Muller hermitian codes and give some examples for which experimental computations have been made.
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https://hal.univ-antilles.fr/hal-00771918
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Submitted on : Wednesday, January 9, 2013 - 3:43:53 PM
Last modification on : Wednesday, May 15, 2019 - 10:44:01 AM

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Jean-Pierre Cherdieu, Antoine Delcroix, J.-C. Mado, Dany-Jack Mercier. Weight distribution of the hermitian Reed-Muller code. Applicable Algebra in Engineering, Communication and Computing, Springer Verlag, 1997, pp.304-314. ⟨hal-00771918⟩

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