Abstract: Algebraic function fields (or equivalently, algebraic curves) provide a useful tool for coding theory (for instance, algebraic-geometric codes and trace codes), but also for other branches ...

Algebraic function theory in quaternionic spaces extends classical complex analysis into a noncommutative setting, offering a framework for functions of one or more quaternionic variables. Quaternions ...

Modern cryptographic systems rely on the interplay of algebraic structures and discrete mathematics to achieve confidentiality, integrity and authentication. At their core, cryptographic functions ...

Goal: The ultimate goal of this project is to develop and implement efficient algorithms for operations involving D-algebraic functions and sequences. While elimination methods based on Gröbner bases ...