Finite fields and random numbers 1995/96.

For 3rd year mathematics students. 
Official name: Istituzioni di Algebra superiore.
FINITE FIELDS

Finite fields of characteristic 2
Algebraic extensions of fields
The field with 4 elements
The field with 8 elements
The field with 16 elements
The Möbius function

RANDOM NUMBERS

Euclidean algorithm
Continued fractions
Linear diophantine equations in 2 variables
Linear congruences
Random numbers in cryptography and numerical analysis
Euler's function
Public key cryptography
Uniform distribution of sequences of real numbers
Tests for uniformity
Difference equations - elementary theory