Slides from my talk on the geometry of hyperelliptic curves in connection with cryptography.
Archive of entries posted on April 2007
Mathematical tourism
In search of the quarternions.
The Carnival of Mathematics
This fortnight’s selection of mathematical posts.
Genus 2 jacobian group law in Maple
Maple procedures for working with the group of rational divisors of a genus 2 hyperelliptic curve; designed for compatibility with generic_group procedures.
Computation in the jacobian of hyperelliptic curves
Polynomial representation of divisors and the notion of rationality.
From points to divisors: the jacobian.
Extending the idea of the group of rational points of an elliptic curve to higher genus: the jacobian of a hyperelliptic curve.
Carnival of Mathematics: submissions
The sixth edition of the Carnival of Mathematics will be hosted here in about a fortnight. To submit articles, email me via carnival [at] straylight.co.uk. Due to travel commitments I shall be unplugged on the Friday itself, so I intend to post on Thursday, April 19th (modulo timezones; I’m on British Summer Time). So please [...]
Elliptic Curve group law in Maple
Maple procedures for working with the group of rational points of an elliptic curve; designed for compatibility with generic_group procedures.
Abstract group operations in Maple
Maple procedures for order finding, DLP and multiplication by m in an abstract group
Baby Steps, Giant Steps, and element orders
Establishing the order of an element by BSGS.
