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Homework 10: Elliptic Curves II
DUE WEDNESDAY, DECEMBER 5
William Stein
Date: Math 124 HARVARD UNIVERSITY Fall 2001
This is it, the last homework assignment! (There
is no homework due December 12.)
- 1.
- (5 points) Make up a simple example that illustrates how to use
the ElGamal elliptic curve cryptosystem (see Lecture 29). You
may mention Nikita and Michael if you wish. Be very clear about what
you are illustrating so that the grader can effortlessly understand your
example.
- 2.
- (5 points) Make up an example that illustrates an interesting
aspect of the Pollard factorization method.
- 3.
- (5 points) Make up an example that illustrates something that you
consider an interesting aspect of Lenstra's elliptic curves
factorization method.
- 4.
- (10 points) Let be a ring. We say that Fermat's last
theorem is false in if there exists
and
with such that
and . For which prime numbers is Fermat's last theorem false in the
ring
?1
William A Stein
2001-11-27