Homogeneous weights and exponential sums

被引：10
作者：
Voloch, JF
Walker, JL [1 ]
机构：
[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
[2] Univ Texas, Dept Math, Austin, TX 78712 USA
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2003年 / 9卷 / 03期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/S1071-5797(03)00007-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a formula as an exponential sum for a homogeneous weight defined by Constantinescu and Heise (Problems Inform. Transmission 33 (1998) 208) in the case of Galois rings (or equivalently, rings of Witt vectors) and use this formula to estimate the weight of codes obtained from algebraic geometric codes over rings. (C) 2003 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：310 / 321
页数：12
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