Hermitian Forms, Trace Equations and Application to Codes
نویسنده
چکیده
We provide a systematic study of sesquilinear hermitian forms and a new proof of the calculus of some exponential sums defined with quadratic her-mitian forms. The computation of the number of solutions of equations such as Tr Ft/Fs (f (x) + v.x) = 0 or Tr Ft/Fs (f (x)) = a allows us to construct codes and to obtain their parameters.
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