Extractors for binary elliptic curves

Reza Rezaeian Farashahi, Ruud Pellikaan, Andrey Sidorenko

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We propose a simple and efficient deterministic extractor for an ordinary elliptic curve E, defined over double-struck F sign2n, where n = 2ℓ and ℓ is a positive integer. Our extractor, for a given point P on E, outputs the first double-struck F sign2 -coefficient of the abscissa of the point P. We also propose a deterministic extractor for the main subgroup G of E, where E has minimal 2-torsion. We show that if a point P is chosen uniformly at random in G, the bits extracted from the point P are indistinguishable from a uniformly random bit-string of length ℓ.

Original languageEnglish
Pages (from-to)171-186
Number of pages16
JournalDesigns, Codes and Cryptography
Issue number1-3
Publication statusPublished - Dec 2008


  • Deterministic extractor
  • Elliptic curve
  • Randomness


Dive into the research topics of 'Extractors for binary elliptic curves'. Together they form a unique fingerprint.

Cite this