On distance sets and product sets in vector spaces over finite rings

DOI10.1307/mmj/1387226165zbMath1297.11007OpenAlexW2027440839MaRDI QIDQ2442193

Le Anh Vinh, Do Duy Hieu

Publication date: 2 April 2014

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1387226165

zbMATH Keywords

graph theoretic methodscardinal of special subsets of finite rings

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Vector spaces, linear dependence, rank, lineability (15A03) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items

A sharp exponent on sum of distance sets over finite fields ⋮ On the structure of distance sets over prime fields ⋮ On two-variable expanders over finite rings ⋮ An asymmetric bound for sum of distance sets ⋮ An improvement on the number of simplices in \(\mathbb{F}_q^d\) ⋮ On the determinants and permanents of matrices with restricted entries over prime fields ⋮ Distance sets over arbitrary finite fields

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