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Journal of Mathematical Cryptology

Managing Editor: Magliveras, Spyros S. / Steinwandt, Rainer / Trung, Tran

Editorial Board Member: Blackburn, Simon R. / Blundo, Carlo / Burmester, Mike / Cramer, Ronald / Dawson, Ed / Gilman, Robert / Gonzalez Vasco, Maria Isabel / Grosek, Otokar / Helleseth, Tor / Kim, Kwangjo / Koblitz, Neal / Kurosawa, Kaoru / Lauter, Kristin / Lange, Tanja / Menezes, Alfred / Nguyen, Phong Q. / Pieprzyk, Josef / Rötteler, Martin / Safavi-Naini, Rei / Shparlinski, Igor E. / Stinson, Doug / Takagi, Tsuyoshi / Williams, Hugh C. / Yung, Moti

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On hashing into elliptic curves

Reza R. Farashahi
  • Department of Computing, Macquarie University, Sydney, NSW 2109, Australia. Email:
/ Igor E. Shparlinski
  • Department of Computing, Macquarie University, Sydney, NSW 2109, Australia. Email:
/ José Felipe Voloch
Published Online: 2010-03-19 | DOI: https://doi.org/10.1515/JMC.2009.022


We study the hash function from a finite field 𝔽q into an elliptic curve over 𝔽q which has recently been introduced by T. Icart. In particular we slightly adjust and prove the asymptotic formula conjectured by T. Icart for the image size of this function.

Keywords.: Elliptic curve cryptography; hashing; Chebotarev density theorem

About the article

Received: 2009-09-22

Revised: 2010-02-23

Published Online: 2010-03-19

Published in Print: 2009-12-01

Citation Information: Journal of Mathematical Cryptology, ISSN (Online) 1862-2984, ISSN (Print) 1862-2976, DOI: https://doi.org/10.1515/JMC.2009.022. Export Citation

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