2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62671We 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.Number Theory94B05; 11T23; 11T71Hermitian forms, trace equations and application to codestext