Explicit evaluation of some exponential sums

被引：20
|
作者：
Moisio, Marko [1 ]
机构：
[1] Univ Vaasa, Dept Math & Stat, FIN-65101 Vaasa, Finland
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2009年 / 15卷 / 06期
关键词：
Cyclic code; Cyclotomic polynomial; Exponential sum; Weight distribution; WEIL SUMS;
D O I：
10.1016/j.ffa.2009.05.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let m be a positive integer, let r be a prime such that 2 is a primitive root modulo r(m), and let q = 2((r-1)rm-1). In this paper a binomial exponential sum over F-q which assumes 3/2 log(2) q + 2 distinct values is explicitly evaluated and its value distribution is determined. (C) 2009 Elsevier Inc. All rights reserved.
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页码：644 / 651
页数：8
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