23 citations · 42 across the 16 of their papers we have counts for
4 papers · 1 filter
Non Abelian Bent Functions
Laurent Poinsot
Perfect nonlinear functions from a finite group to another one are those functions such that for all nonzero , the derivative $d_αf: x \mapsto…
Rigidity of the topological dual of spaces of formal series with respect to product topologies
Laurent Poinsot
Even in spaces of formal power series is required a topology in order to legitimate some operations, in particular to compute infinite summations. Many topologies can be exploited…
Doubly Perfect Nonlinear Boolean Permutations
Laurent Poinsot
Due to implementation constraints the XOR operation is widely used in order to combine plaintext and key bit-strings in secret-key block ciphers. This choice directly induces the c…
Partial monoids: associativity and confluence
Laurent Poinsot, Gérard Duchamp, Christophe Tollu
A partial monoid is a set with a partial multiplication (and total identity ) which satisfies some associativity axiom. The partial monoid may be embedded in…