Hermitian forms, trace equations and application to codes
Number Theory
2007-05-23 v2
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.
Cite
@article{arxiv.math/0111191,
title = {Hermitian forms, trace equations and application to codes},
author = {Dany-Jack Mercier},
journal= {arXiv preprint arXiv:math/0111191},
year = {2007}
}