Hermitian forms, trace equations and application to codes

Details Hermitian forms, trace equations and application to codes Hermitian forms, trace equations and application to codes

2001-11-16

arxiv.org/abs/math/0111191v2

Mathematics

Number Theory

Scientific paper

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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