A note on power residue difference sets

被引：1

作者：

Yuan, PZ ^{[1
]}

Hu, YH

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Cent S Univ, Dept Math, Changsha 410075, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2005年 / 291卷 / 01期

关键词：

finite fields; difference sets; power residue difference sets; Jacobi sums;

D O I：

10.1016/j.jalgebra.2004.09.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using Gauss sums, Jacobi sums and the similar argument as in [U. Ott, Sharply flagtransitive projective planes and power residue difference sets, J. Algebra 276 (2004) 663-673], we prove a result on power residue difference sets in a finite field, which implies that the proof of the main results of Ott [U. Ott, Sharply flag-transitive projective planes and power residue difference sets, J. Algebra 276 (2004) 663-673] is incorrect. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：269 / 273

页数：5

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