AceCrypt Cryptography Workshop m=ec^2
Three lectures on implementation issues for curve-based cryptography by Peter Birkner (Fields Institute), Roger Oyono (Fields Institute) and Francesco Sica (AceCrypt).
From 1pm until 3:15pm, Friday November 24, 2006, in Dunn 108 (Mini Wu):
There will be a series of three talks on the implementation of
curve-based cryptography, which provides current state-of-the-art
encryption techniques endorsed by American federal agencies.
The lineup is as follows (Slides are now available for download):
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Divisor Class Halving on Hyperelliptic Curves
Dunn 108 (Mini Wu), 2006-11-24 13:00 - 2006-11-24 13:45 - We begin the m=ec^2 conference with Peter Birkner presenting a halving algorithm for divisor classes of genus 2 curves over finite fields of characteristic 2.
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Fast Arithmetic in the Jacobian of non-Hyperelliptic Curves of Genus 3
Dunn 108 (Mini Wu), 2006-11-24 13:45 - 2006-11-24 14:30 - For the second seminar of m=ec^2, Roger Oyono will present a fast addition algorithm in the Jacobian of non-hyperelliptic curves of genus 3. The presented algorithm has a nice geometric interpretation, comparable to the classic chord and tangent law for the elliptic curves.
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Complex Double Bases applied to Scalar Multiplication on Algebraic Curves
Dunn 108 (Mini Wu), 2006-11-24 14:30 - 2006-11-24 15:15 - Francesco Sica wraps up m=ec^2 by exposing how the use of a double base expansion of a scalar multiplier gives way to a new class of scalar multiplication algorithms capable of beating the fastest known implementations on Koblitz curves, with negligible additional memory.