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
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