Digital Nets and Sequences Constructed over Finite Rings and Their Application to Quasi-Monte Carlo Integration.
Digital (t,m,s)-nets and the spectral test
Distribution of the power generator over a residue ring for parts of the period.
Duality for digital nets and its applications
Dyadic diaphony
Equidistribution Properties of Inversive Congruential Pseudorandom Numbers with Power of Two Modulus.
Equidistribution Properties of Nonlinear Congruential Pseudorandom Numbers.
Estudio de algunas secuencias pseudoaleatorias de aplicación criptográfica.
Pseudorandom binary sequences are required in stream ciphers and other applications of modern communication systems. In the first case it is essential that the sequences be unpredictable. The linear complexity of a sequence is the amount of it required to define the remainder. This work addresses the problem of the analysis and computation of the linear complexity of certain pseudorandom binary sequences. Finally we conclude some characteristics of the nonlinear function that produces the sequences...
Explicit digital inversive pseudorandom numbers
Exponential sums and the distribution of inversive congruential pseudorandom numbers with prime-power modulus
Fonctions de Walsh et fonctions pseudo-aléatoires
General discrepancy estimates II: the Haar function system
General discrepancy estimates: the Walsh function system
Gleichverteilung und die willkürlichen Funktionen von Poincaré
Improved discrepancy bounds for hybrid sequences involving Halton sequences
Incomplete character sums and a special class of permutations
We present a method of bounding incomplete character sums for finite abelian groups with arguments produced by a first-order recursion. This method is particularly effective if the recursion involves a special type of permutation called an -orthomorphism. Examples of -orthomorphisms are given.
Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators
Irregularities of distribution of digital -sequences in prime base.
Kloosterman-type sums and the discrepancy of nonoverlapping pairs of inversive congruential pseudorandom numbers
Large families of elliptic curve pseudorandom binary sequences