20 citations · 30 across the 30 of their papers we have counts for
36 papers
Pseudorandom binary sequences: quality measures and number-theoretic constructions
Arne Winterhof
In this survey we summarize properties of pseudorandomness and non-randomness of some number-theoretic sequences and present results on their behaviour under the following measures…
Quaternary Legendre Pairs
Ilias S. Kotsireas, Arne Winterhof
We introduce quaternary Legendre pairs of length . In contrast to binary Legendre pairs they can exist for even as well. First we show that they are pertinent to the c…
Character sums over sparse elements of finite fields
László Mérai, Igor E. Shparlinski, Arne Winterhof
We estimate mixed character sums of polynomial values over elements of a finite field with sparse representations in a fixed ordered basis over the subfield $\mat…
Arithmetic crosscorrelation of pseudorandom binary sequences of coprime periods
Zhixiong Chen, Zhihua Niu, Arne Winterhof
The (classical) crosscorrelation is an important measure of pseudorandomness of two binary sequences for applications in communications. The arithmetic crosscorrelation is another…
Balance and pattern distribution of sequences derived from pseudorandom subsets of
Huaning Liu, Arne Winterhof
Let be a positive integer and with We der…
Normality of the Thue-Morse function for finite fields along polynomial values
Mehdi Makhul, Arne Winterhof
Let be the finite field of elements, where is a power of the prime , and be an ordered basis of …