activity
20162018
most citedOn the pseudorandomness of automatic sequences

1 citations · 2 across the 3 of their papers we have counts for

collaborators

7 papers

math.NT2018

Distribution of short subsequences of inversive congruential pseudorandom numbers modulo

László Mérai, Igor E. Shparlinski

In this paper we study the distribution of very short sequences of inversive congruential pseudorandom numbers modulo . We derive a new bound on exponential sums with such seq…

math.NT2018

The measures of pseudorandomness and the NIST tests

László Mérai, Joël Rivat, András Sárközy

A few years ago new quantitative measures of pseudorandomness of binary sequences have been introduced. Since that these measures have been studied in many papers and many construc…

math.NT20171 cited

On the pseudorandomness of automatic sequences

László Mérai, Arne Winterhof

We study the pseudorandomness of automatic sequences in terms of well-distribution and correlation measure of order 2. We detect non-random behavior which can be derived either fro…

math.NT20171 cited

On the elliptic curve endomorphism generator

László Mérai

For an elliptic curve over a finite field we define the point sequence recursively by with an endomorphism $\vartheta \in\ma…

math.NT2017

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…

math.NT2016

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…