Paper 2005/324 Original: eprint.iacr.org/2005/324 ↗
Extracting bits from coordinates of a point of an elliptic curve
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.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2005-09-13: last updated
- 2005-09-13: published
- Short URL
- https://ia.cr/2005/324
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2005/324,
author = {Nicolas Gürel},
title = {Extracting bits from coordinates of a point of an elliptic curve},
howpublished = {Cryptology {ePrint} Archive, Paper 2005/324},
year = {2005},
url = {https://eprint.iacr.org/2005/324}
}