On divisibility of exponential sums of polynomials of special type over fields of characteristic 2

被引：3
作者：
Bassalygo, L. A. [1 ]
Zinoviev, V. A. [1 ]
机构：
[1] Russian Acad Sci, AA Kharkevich Inst Problems Informat Transmiss, Moscow 127994, Russia
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2013年 / 66卷 / 1-3期
关键词：
Finite field; Polynomial; Exponential sum; Binary Kloosterman sum; Divisor 2(k) of Kloosterman sum; Zero of Kloosterman sum; KLOOSTERMAN SUMS;
D O I：
10.1007/s10623-012-9669-3
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We study the divisibility by eight of exponential sums of several classes of functions over finite fields of characteristic two. For the binary classical Kloosterman sums K(a) over such fields we give a simple recurrent algorithm for finding the largest k, such that 2 (k) divides the Kloosterman sum K(a). This gives a simple description of zeros of such Kloosterman sums.
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页码：129 / 143
页数：15
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