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Motivated by the advantages of using elliptic curves for discrete logarithm-based public-key cryptography, there is an active research area investigating the potential of using hyperelliptic curves of...
Indifferentiable Deterministic Hashing to Elliptic and Hyperelliptic Curves
Elliptic Curve Cryptography Hashing Random Oracle Model Exponential Sums Pseudorandomness
2010/10/26
In this paper, we present a new, simpler technique based on bounds of character sums to prove the indifferentiability of similar hash function constructions based on essentially any deterministic enco...
Improved Weil and Tate pairings for elliptic and hyperelliptic curves
Improved Weil Tate pairings elliptic and hyperelliptic curves
2009/4/10
Improved Weil and Tate pairings for elliptic and hyperelliptic curves.
The Vector Decomposition Problem for Elliptic and Hyperelliptic Curves
Elliptic curve cryptography Curves of genus two
2009/1/14
The group of m-torsion points on an elliptic curve, for a
prime number m, forms a two-dimensional vector space. It was suggested
and proven by Yoshida that under certain conditions the vector
decom...