Divisibility properties of Kloosterman sums over finite fields of characteristic two

被引：4

作者：

Charpin, Pascale ^{[1
]}

Helleseth, Tor ^{[2
]}

Zinoviev, Victor ^{[3
]}

机构：

[1] INRIA, BP 105, F-78153 Le Chesnay, France

[2] Univ Bergen, Selmer Ctr, Dept Informat, N-5020 Bergen, Norway

[3] Russian Acad Sci, Inst Problems Informat Transmiss, Moscow 101447, Russia

来源：

2008 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-6 | 2008年

关键词：

BCH code; coset weight distribution; Kloosterman sum; cubic sum; inverse cubic sum;

D O I：

10.1109/ISIT.2008.4595463

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let K(a) be the so-called classical Kloosterman sums over F-2m, where m is even. In this paper, we compute K(a) modulo 24, completing our previous results for odd m. We extensively study the links between K(a) and other exponential sums, in particular with the cubic sums. We point out (as we did for odd m) that the values K(a) are related with cosets of weight 4 of primitive narrow sense extended BCH codes of length n = 2(m) and minimum distance 8.

引用

页码：2608 / +

页数：2

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