On the generalized weights of a class of trace codes

被引：6

作者：

Cherdieu, JP ^{[1
]}

Mercier, DJ ^{[1
]}

Narayaninsamy, T ^{[1
]}

机构：

[1] Univ Anitlles Guyane, Dept Math & Informat, Equipe Applicat Algebre & Arithmet, F-97159 Pointe A Pitre, France

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2001年 / 7卷 / 02期

关键词：

finite fields; hypersurface; exponential sums; trace codes; functional codes; quadratic hermitian forms; Wei weights;

D O I：

10.1006/ffta.2000.0298

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We build a class of codes using hermitian forms and the functional trace code. Then we give a general expression of the rth minimum distance of our code and compute general bounds for the weight hierarchy by using exponential sums. We also get the minimum distance and calculate the rth generalized Hamming weight d(r) in some special cases. (C) 2001 Academic Press.

引用

页码：355 / 371

页数：17

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