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BY-NC-ND 3.0 license Open Access Published by De Gruyter March 19, 2010

On hashing into elliptic curves

  • Reza R. Farashahi , Igor E. Shparlinski and José Felipe Voloch

Abstract

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.

Received: 2009-09-22
Revised: 2010-02-23
Published Online: 2010-03-19
Published in Print: 2009-December

© de Gruyter 2009

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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