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Extracting bits from coordinates of a point of an elliptic curve
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Abstract: | In the classic Diffie-Hellman protocol based on a generic group $\G$, Alice and Bob agree on a common secret $K_{AB}$ (master secret) which is indistinguishable from another element of $\G$ but not from a random bits-string of the same length. In this paper, we present a new deterministic method to extract bits from $K_{AB}$ when $\G$ is an elliptic curve defined over a quadratic extension of a finite field. In the last section, we show that it is also possible to extract a few bits when $\G$ is an elliptic curve defined over a prime field. |
BibTeX
@misc{eprint-2005-12658, title={Extracting bits from coordinates of a point of an elliptic curve}, booktitle={IACR Eprint archive}, keywords={public-key cryptography / Elliptic curve cryptosystem, key derivation, pseudo-random extractors.}, url={http://eprint.iacr.org/2005/324}, note={ gurel@lix.polytechnique.fr 13038 received 12 Sep 2005}, author={Nicolas G\"urel}, year=2005 }