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On hashing into elliptic curves

We study the hash function from a finite field F q into an elliptic curve over F q 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.

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Bibliographic Details
Published in:Journal of mathematical cryptology 2009-12, Vol.3 (4), p.353-360
Main Authors: Farashahi, Reza R., Shparlinski, Igor E., Voloch, José Felipe
Format: Article
Language:English
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Summary:We study the hash function from a finite field F q into an elliptic curve over F q 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.
ISSN:1862-2976
1862-2984
DOI:10.1515/JMC.2009.022