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