On the additive energy of the distance set in finite fields

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We use character sums to derive new bounds on the additive energy of the set of distances (counted with multiplicities) between two subsets of a vector space over a given finite field. We also give applications to sumsets of distance sets.

Original languageEnglish
Pages (from-to)187-199
Number of pages13
JournalFinite Fields and their Applications
Volume42
DOIs
Publication statusPublished - Nov 2016
Externally publishedYes

Keywords

  • distance sets
  • additive energy
  • finite fields
  • character sums

Fingerprint Dive into the research topics of 'On the additive energy of the distance set in finite fields'. Together they form a unique fingerprint.

Cite this