On hashing into elliptic curves

Reza R. Farashahi; Igor E. Shparlinski; José Felipe Voloch

doi:10.1515/JMC.2009.022

On hashing into elliptic curves

Reza R. Farashahi^*, Igor E. Shparlinski, José Felipe Voloch

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

60 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	353-360
Number of pages	8
Journal	Journal of Mathematical Cryptology
Volume	3
Issue number	4
DOIs	https://doi.org/10.1515/JMC.2009.022
Publication status	Published - Dec 2009

Bibliographical note

Copyright 2009 by de Gruyter. Article originally published in Journal of Mathematical Cryptology, Volume 3, Issue 4, Pages 353â€“360. The original article can be found at http://dx.doi.org/10.1515/JMC.2009.022. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

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title = "On hashing into elliptic curves",

abstract = "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.",

author = "Farashahi, \{Reza R.\} and Shparlinski, \{Igor E.\} and Voloch, \{Jos{\'e} Felipe\}",

note = "Copyright 2009 by de Gruyter. Article originally published in Journal of Mathematical Cryptology, Volume 3, Issue 4, Pages 353{\^a}€“360. The original article can be found at http://dx.doi.org/10.1515/JMC.2009.022. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.",

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AU - Farashahi, Reza R.

AU - Shparlinski, Igor E.

AU - Voloch, José Felipe

N1 - Copyright 2009 by de Gruyter. Article originally published in Journal of Mathematical Cryptology, Volume 3, Issue 4, Pages 353â€“360. The original article can be found at http://dx.doi.org/10.1515/JMC.2009.022. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

PY - 2009/12

Y1 - 2009/12

N2 - 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.

AB - 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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JO - Journal of Mathematical Cryptology

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On hashing into elliptic curves

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