Pencils of quadratic forms over finite fields

被引：7

作者：

Fitzgerald, RW ^{[1
]}

Yucas, JL ^{[1
]}

机构：

[1] So Illinois Univ, Dept Math, Carbondale, IL 62901 USA

来源：

DISCRETE MATHEMATICS | 2004年 / 283卷 / 1-3期

关键词：

quadratic forms; finite fields; arf invariant;

D O I：

10.1016/j.disc.2004.01.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A formula for the number of common zeros of a non-degenerate pencil of quadratic forms spanned by gap forms is given. This is applied to pencils which count binary strings with an even number of 1's prescribed distances apart. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：71 / 79

页数：9

共 11 条

[1] BERGE A, SEM THOER NOMBR BORD
[2] BERLEKMAP ER, 1968, ALGEBRAIC CODING THE
[3] DELSARTE P, 1970, 1970 P 2 CHAP HILL C, P100
[4] Irreducible polynomials over GF(2) with three prescribed coefficients
Fitzgerald, RW
Yucas, JL
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2003, 9 (03) : 286 - 299
[5] MAXIMAL RECURSIVE SEQUENCES WITH 3-VALUED RECURSIVE CROSS-CORRELATION FUNCTIONS
GOLD, R
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1968, 14 (01) : 154 - +
[6] JUNGNICKEL D, 1993, FINITE FIELDS
[7] KHOO K, 2002, IEEE INT S INFORM TH, V2, P12
[8] KHOO K, SEQUENCES LOW CROSS
[9] LEEP D, COMMUNICATION
[10] Zeros of a pair of quadratic forms defined over a finite field
Leep, DB
Schueller, LM
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 1999, 5 (02) : 157 - 176

← 1 2 →