• CCZ-equivalence of bent vectorial functions and related constructions 

      Budaghyan, Lilya; Carlet, Claude (Peer reviewed; Journal article, 2011-01-06)
      We observe that the CCZ-equivalence of bent vectorial functions over F2nFn2 (n even) reduces to their EA-equivalence. Then we show that in spite of this fact, CCZ-equivalence can be used for constructing bent functions ...
    • Directed graph representation of half-rate additive codes over GF(4) 

      Danielsen, Lars Eirik; Parker, Matthew G. (Peer reviewed; Journal article, 2010)
      We show that (n, 2n) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to undirected graphs. Graph representation ...
    • Lower bounds on the size of spheres of permutations under the Chebychev distance 

      Kløve, Torleiv (Peer reviewed; Journal article, 2010)
      Lower bounds on the number of permutations p of {1, 2, . . . , n} satisfying |pi − i| ≤ d for all i are given
    • A Note on Exact Algorithms for Vertex Ordering Problems on Graphs 

      Bodlaender, Hans L.; Fomin, Fedor; Koster, Arie M.C.A.; Kratsch, Dieter; Thilikos, Dimitrios M. (Peer reviewed; Journal article, 2011-01-21)
      In this note, we give a proof that several vertex ordering problems can be solved in O ∗(2 n ) time and O ∗(2 n ) space, or in O ∗(4 n ) time and polynomial space. The algorithms generalize algorithms for the Travelling ...
    • Sparse Boolean equations and circuit lattices 

      Semaev, Igor (Peer reviewed; Journal article, 2010)
      A system of Boolean equations is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an underlying hard problem in the cryptanalysis of modern ciphers. In ...