Browsing Bergen Open Research Archive by Author "Davidova, Diana"

Now showing items 1-4 of 4

    • 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 ...

    • On Two Fundamental Problems on APN Power Functions 

      Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael; Davidova, Diana; Kaleyski, Nikolay Stoyanov (Journal article; Peer reviewed, 2022)
      The six infinite families of power APN functions are among the oldest known instances of APN functions, and it has been conjectured in 2000 that they exhaust all possible power APN functions. Another long-standing open ...

    • 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 ...