An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
We study three closely related problems motivated by the prediction of RNA secondary structures with arbitrary pseudoknots: the MAXIMUM BASE PAIR STACKINGS problem proposed by Ieon...
We present a polynomial-time approximation algorithm for legally coloring as many edges of a given simple graph as possible using two colors. It achieves an approximation ratio of...
Abstract. We describe some constructions of orthonormal lattices in totally real subfields of cyclotomic fields, obtained by endowing their ring of integers with a trace form. We...
The uniform distribution of the trace map lends itself very well to the construction of binary and non-binary codes from Galois fields and Galois rings. In this paper we study the...
Abstract. Here we study a weakness of the RC4 Key Scheduling Algorithm (KSA) that has already been noted by Mantin and Mironov. Consider the RC4 permutation S of N (usually 256) by...
Abstract. We review a binary sequence based on the generalized cyclotomy of order 2 with respect to p3 , where p is an odd prime. Linear complexities, minimal polynomials and autoc...
Recently, 9-variable Boolean functions having nonlinearity 241, which is strictly greater than the bent concatenation bound of 240, have been discovered in the class of Rotation Sy...
Given a linear code C, the fundamental problem of trellis decoding is to find a coordinate permutation of C that yields a code C′ whose minimal trellis has the least state-compl...