Algebraic Number Theory and Applications
CIMPAUNESCOBENIN research school
July 719, 2014, The Institute of Mathematics and Physical Sciences (IMSP), Dangbo, Bénin
Algebraic Number Theory and Applications
CIMPAUNESCOBENIN research school
July 719, 2014, The Institute of mathematics and physical Sciences (IMSP), Dangbo, Bénin
Algebraic number theory is a very active field of mathematics. We plan to introduce the subject
and its application to cryptography. After given courses in elementary arithmetic, algebraic
numbers and padic numbers, we will focus on the basics of elliptic curves and finite fields.
Applications will also figure prominently in the program as it is shown by the presence of the
following courses: Introduction to cryptography, Elliptic curves and cryptography.
Moreover, we plan to cover the explicit construction of elliptic curves over finite fields
with group of point of large prime order (as needed by cryptographic applications) via
complex multiplication.
