A permutation class which is closed under pattern involvement may be described in terms of its basis. The wreath product construction X Y of two permutation classes X and Y is als...
We define an excedance number for the multi-colored permutation group i.e. the wreath product (Zr1 × · · · × Zrk ) Sn and calculate its multi-distribution with some natural ...
This paper studies the cycle indices of products of permutation groups. The main focus is on the product action of the direct product of permutation groups. The number of orbits o...
Peter J. Cameron, Daniele A. Gewurz, Francesca Mer...
The paper develops a novel approach to stream cipher design: Both the state update function and the output function of the corresponding pseudorandom generators are compositions of...
In this paper we design a nonadaptive NC checker for permutation group intersection, sharpening a result from Blum and Kannan 3]. This is a consequence of two results. First we sh...