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math.NTJun 6, 2012
39
citations (OpenAlex)
authors
  • Norbert Hegyvári
  • François Hennecart
institutions
  • Eötvös Loránd University
  • Université Jean Monnet
arXiv abstractPDF
paper

Explicit constructions of extractors and expanders

arXiv:1206.1146 · doi:10.4064/aa140-3-2

Abstract

We investigate 2-variable expanders and 3-source extractors in prime fields. We extend previous results of J. Bourgain.

References in corpus (1)

  • Szemeredi-Trotter type theorem and sum-product estimate in finite fields

Cited by in corpus (9)

  • An Improved Point-Line Incidence Bound Over Arbitrary Fields
  • Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets
  • Conditional expanding bounds for two-variables functions over prime fields
  • An explicit two-source extractor with min-entropy rate near 4/9
  • Three-variable expanding polynomials and higher-dimensional distinct distances
  • Additive combinatorics with a view towards computer science and cryptography: An exposition
  • Incidence geometry and polynomial expansion over finite fields
  • On sum-product bases
  • Distribution of residues in approximate subgroups of Fp∗​
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