New Directions of Algebraic Means in Cryptology

This work deals with three relatively new directions of algebraic means in cryptology that had seen rapid development over the last twenty years. The first direction is the algebro-geometric approach to analyzing cryptographic properties of Boolean functions. The second direction considers studying the properties of random and pseudo-random number generators using non-Archimedean dynamics. The third direction is used for analyzing post-quantum cryptographic mechanisms based on error-correcting codes.