• Generalization of a class of APN binomials to Gold-like functions 

      Davidova, Diana; Kaleyski, Nikolay Stoyanov (Journal article; Peer reviewed, 2021)
      In 2008 Budaghyan, Carlet and Leander generalized a known instance of an APN function over the finite field F212 and constructed two new infinite families of APN binomials over the finite field F2n , one for n divisible ...
    • On properties of bent and almost perfect nonlinear functions 

      Davidova, Diana (Doctoral thesis, 2021-09-14)
      (Vectorial) Boolean functions play an important role in all domains related to computer science, and in particular, in cryptography. The safety of a cryptosystem is quantified via some characteristics of (vectorial) Boolean ...
    • Relation between o-equivalence and EA-equivalence for Niho bent functions 

      Davidova, Diana; Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor; Ihringer, Ferdinand; Penttila, Tim (Journal article; Peer reviewed, 2021)
      Boolean functions, and bent functions in particular, are considered up to so-called EA-equivalence, which is the most general known equivalence relation preserving bentness of functions. However, for a special type of bent ...