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The purpoe of this course is to introduce students to applications of Number Theory in
Cryptography and Error- correcting codes. These two topics address the problem of
ensuring data integrity during information transmission and storage. The first deals with
the problem of protecting data against malicious attacks, and the second against
interference due to noise. Security on the internet is a hot topic and it is all based on
interesting mathematics.
Basic properties of integers, including properties of prime numbers, congruences, and
primitive roots. Introduction to finite fields and their vector spaces, with applications to
encryption systems and coding theory.
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