Paper 2009/340
Efficient Indifferentiable Hashing into Ordinary Elliptic Curves
Eric Brier, Jean-Sebastien Coron, Thomas Icart, David Madore, Hugues Randriam, and Mehdi Tibouchi
Abstract
We provide the first construction of a hash function into ordinary elliptic curves that is indifferentiable from a random oracle, based on Icart's deterministic encoding from Crypto 2009. While almost as efficient as Icart's encoding, this hash function can be plugged into any cryptosystem that requires hashing into elliptic curves, while not compromising proofs of security in the random oracle model. We also describe a more general (but less efficient) construction that works for a large class of encodings into elliptic curves, for example the Shallue-Woestijne-Ulas (SWU) algorithm. Finally we describe the first deterministic encoding algorithm into elliptic curves in characteristic 3.
Note: Added: - proof of indifferentiability for f(h1(m))+f(h2(m)) - hash algorithms in characteristic 3
Metadata
- Available format(s)
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. An extended abstract will appear at CRYPTO 2010. This is the full version.
- Keywords
- Random Oracle ModelElliptic Curve Cryptography
- Contact author(s)
- jscoron @ gmail com
- History
- 2014-06-03: last of 3 revisions
- 2009-07-13: received
- See all versions
- Short URL
- https://ia.cr/2009/340
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2009/340, author = {Eric Brier and Jean-Sebastien Coron and Thomas Icart and David Madore and Hugues Randriam and Mehdi Tibouchi}, title = {Efficient Indifferentiable Hashing into Ordinary Elliptic Curves}, howpublished = {Cryptology {ePrint} Archive, Paper 2009/340}, year = {2009}, url = {https://eprint.iacr.org/2009/340} }