Hermitian forms, trace equations and application to codes - Université des Antilles Access content directly
Preprints, Working Papers, ... Year : 2003

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.

Dates and versions

hal-00767443 , version 1 (19-12-2012)

Identifiers

Cite

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

Collections

UNIV-AG
51 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More