Explicit small sets with ε-discrepancy on Bohr sets

Research output: Contribution to journalArticlepeer-review


We prove that there are explicit sets A that have ε-discrepancy on all rank d Bohr sets in ZN and are of size |A|=poly(( lnN)d,1/ε). This extends the result on explicit sets with ε-discrepancy on arithmetic progressions Razborov et al. [2] (1993) to Bohr sets which are the higher rank analogue of arithmetic progressions. Our proof is via a reduction to the existence of explicit small biased sets in ZN.

Original languageEnglish
Pages (from-to)564-567
Number of pages4
JournalInformation Processing Letters
Issue number10
StatePublished - Oct 2014
Externally publishedYes


  • Arithmetic progressions
  • Bohr sets
  • Explicit construction
  • ε-Biased sets
  • ε-Discrepancy sets

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Information Systems
  • Computer Science Applications


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