Remarks on codes from Hermitian curves (Corresp.)

Abstract

Parameters and generator matrices are given for the codes obtained by applying Goppa's algebraic-geometric construction method to Hermitian curves in PG <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">(2,q)</tex> , where <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">q = 2^{2s}</tex> for some <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">s\in {\bf N}</tex> . Automorphisms of these codes are also discussed, and some results on self-duality and weak self-duality are given.