2009 Number Theory Seminar - 08
Topic
Rational points on curves and cryptography
Speakers
Details
I'll discuss some connections between algorithms for finding rational
points on curves and some cryptosystems. Akiyama and Goto have proposed
a cryptosystem based on rational points on curves over function fields
(stated in the equivalent form of sections of fibrations on surfaces).
It is easy to construct a curve passing through a few given points, but
finding the points, given only the curve, is hard. In this talk I will
show how to break their original cryptosystem by using algebraic points
instead of rational points and discuss the possibility of changing
their original system to create a secure one.
Additional Information
This is a Past Event
Event Type
Scientific, Seminar
Date
February 26, 2009
Time
-
Location