Welcome to the resource topic for 2004/241
Title:
A Comparison of Point Counting methods for Hyperelliptic Curves over Prime Fields and Fields of Characteristic 2
Authors: Colm O hEigeartaigh
Abstract:Computing the order of the Jacobian of a hyperelliptic curve remains a
hard problem. It is usually essential to calculate the order of the
Jacobian to prevent certain sub-exponential attacks on the cryptosystem.
This paper reports on the viability of implementations of various
point-counting techniques. We also report on the scalability of the
algorithms as the fields grow larger.
ePrint: https://eprint.iacr.org/2004/241
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