20 citations · 35 across the 12 of their papers we have counts for
7 papers · 1 filter
Perfect linear complexity profile and Apwenian sequences
J. -P. Allouche, G. -N. Han, H. Niederreiter
Sequences with {\em perfect linear complexity profile} were defined more than thirty years ago in the study of measures of randomness for binary sequences. More recently {\em apwen…
On the expansion complexity of sequences over finite fields
Gómez-Pérez, László Mérai, Harald Niederreiter
In 2012, Diem introduced a new figure of merit for cryptographic sequences called expansion complexity. In this paper, we slightly modify this notion to obtain the so-called irredu…
Expansion complexity and linear complexity of sequences over finite fields
László Mérai, Harald Niederreiter, Arne Winterhof
The linear complexity is a measure for the unpredictability of a sequence over a finite field and thus for its suitability in cryptography. In 2012, Diem introduced a new figure of…
Propagation rules for (u,m,e,s)-nets and (u,e,s)-sequences
Peter Kritzer, Harald Niederreiter
The classes of -nets and -sequences were recently introduced by Tezuka, and in a slightly more restrictive form by Hofer and Niederreiter. We study…
Explicit constructions of Vandermonde sequences using global function fields
Roswitha Hofer, Harald Niederreiter
The authors recently introduced so-called Vandermonde nets. These digital nets share properties with the well-known polynomial lattices. For example, both can be constructed via co…
Halton-type sequences from global function fields
Harald Niederreiter, Anderson Siang Jing Yeo
For any prime power and any dimension , a new construction of -sequences in base using global function fields is presented. The construction yields an analog of H…
A construction of (t,s)-sequences with finite-row generating matrices using global function fields
Roswitha Hofer, Harald Niederreiter
For any prime power and any dimension , we present a construction of -sequences in base with finite-row generating matrices such that, for fixed , the qu…