Solving linear equations in a vector space over a finite field (Q2231719)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving linear equations in a vector space over a finite field |
scientific article |
Statements
Solving linear equations in a vector space over a finite field (English)
0 references
30 September 2021
0 references
\textit{I. Ruzsa} [Acta Arith. 65, No. 3, 259--282 (1993; Zbl 1042.11525)] studied the maximum possible size of a subset of \( [n] = \{1, 2, . . . , n\}\), which contain no (non-trivial) solution to a given linear equation. The paper under review investigates the same problems in a vector space over a finite field instead of a set of integers.
0 references
additive combinatorics
0 references
arithmetic progression
0 references
Sidon set
0 references
finite field model
0 references
0 references
