Value sets of some polynomials over finite fields GF(22m)

被引：5

作者：

Cusick, TW ^{[1
]}

机构：

[1] SUNY Buffalo, Dept Math, Buffalo, NY 14214 USA

来源：

SIAM JOURNAL ON COMPUTING | 1998年 / 27卷 / 01期

关键词：

finite field; polynomial; value set;

D O I：

10.1137/S0097539794270352

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper shows that there is a connection between the crosscorrelation functions of certain binary m-sequences and the value sets of the polynomials x(k)(1 + x)(2m-1) for k is an element of {+/-1, +/-2,4}, where x is in the finite field GF(2(2m)). In particular, the size of such value sets is determined by using finite field theory and known results about crosscorrelation functions.

引用

页码：120 / 131

页数：12

共 13 条

[1]

Birch B. J., 1959, Acta Arith., V5, P417, DOI DOI 10.4064/AA-5-4-417-423

[2] THE RIEMANN ZETA AND ALLIED FUNCTIONS [J].