Solving linear equations in a vector space over a finite field

被引:4
|
作者
Mimura, Masato [1 ]
Tokushige, Norihide [2 ]
机构
[1] Tohoku Univ, Math Inst, Sendai, Miyagi, Japan
[2] Univ Ryukyus, Coll Educ, Nishihara, Okinawa, Japan
基金
日本学术振兴会;
关键词
Additive combinatorics; Arithmetic progression; Sidon set; Finite field model; INTEGERS;
D O I
10.1016/j.disc.2021.112603
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the maximum possible size of a subset in a vector space over a finite field which contains no solution of a given linear equation (or a system of linear equations). This is a finite field version of Ruzsa's work [7]. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数:11
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