Sabancı University, Faculty of Engineering and Natural Sciences
Menu
Research Interest
Function Fields and Algebraic Curves over Finite Fields: Rational points of curves, automorphisms, towers of function fields and their asymptotic properties, Drinfeld modular curves
Coding Theory: Algebraic Geometry Codes
Finite Galois Geometry and Cryptographically significant functions (particularly quadratic functions, their nonlinearity distribution) their applications to Coding Theory and their interaction with Algebraic Curves over Finite Fields
Boolean functions and functions from F_{p^n} to F_p: Functions with high nonlinearity, Bent functions (and their connections to coding theory, cryptography, finite geometry, difference sets), Generalized bent functions, (Modified) Planar functions, Almost Perfect Nonlinear (APN) functions
Permutations: (Vectorial) Permutations over finite fields