Quadratic functions and maximal Artin-Schreier curves

被引：8

作者：

Anbar, Nurdagul ^{[1
]}

Meidl, Wilfried ^{[1
]}

机构：

[1] Sabanci Univ, MDBF, TR-34956 Istanbul, Turkey

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2014年 / 30卷

关键词：

Artin-Schreier curve; Partially bent function; Quadratic function; Walsh transform; FINITE-FIELDS; BENT FUNCTIONS; CYCLIC CODES; PLATEAUED FUNCTIONS; POLYNOMIAL FORMS; CODIMENSION; WEIL SUMS; SEMI-BENT; NUMBER; CONSTRUCTION;

D O I：

10.1016/j.ffa.2014.05.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For an odd prime p and an even integer n with gcd(n,p) = 1, we consider quadratic functions from F-pn to F-p of codimension k. For various values of k, we obtain classes of quadratic functions giving rise to maximal and minimal Artin-Schreier curves over F-pn. We completely classify all maximal and minimal curves obtained from quadratic functions of codimension 2 and coefficients in the prime field F-p (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：49 / 71

页数：23

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