2009 | OriginalPaper | Chapter
How to Hash into Elliptic Curves
Author : Thomas Icart
Published in: Advances in Cryptology - CRYPTO 2009
Publisher: Springer Berlin Heidelberg
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We describe a new explicit function that given an elliptic curve
E
defined over
$\mathbb F_{p^n}$
, maps elements of
$\mathbb F_{p^n}$
into
E
in
deterministic
polynomial time and in a constant number of operations over
$\mathbb F_{p^n}$
. The function requires to compute a cube root. As an application we show how to hash
deterministically
into an elliptic curve.