Hermitian forms, trace equations and application to codes

Abstract : We provide a systematic study of sesquilinear hermitian forms and a new proof of the calculus of some exponential sums defined with quadratic hermitian forms. The computation of the number of solutions of equations such as Tr(f(x)+v.x)=0 or Tr(f(x))=a allows us to construct codes and to obtain their parameters.
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https://hal.univ-antilles.fr/hal-00767443
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Submitted on : Wednesday, December 19, 2012 - 7:52:06 PM
Last modification on : Wednesday, May 15, 2019 - 10:44:01 AM

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Dany-Jack Mercier. Hermitian forms, trace equations and application to codes. 2003. ⟨hal-00767443⟩

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