Measures of Pseudorandomness.

K Gyarmati - 2013 - degruyter.com
In the second half of the 1990s Christian Mauduit and András Sárközy [86] introduced a new
quantitative theory of pseudorandomness of binary sequences. Since then numerous …

The cross-correlation measure for families of binary sequences.

K Gyarmati, C Mauduit, A Sárközy - 2014 - books.google.com
Large families of binary sequences of the same length are considered and a new measure,
the cross-correlation measure of order k, is introduced to study the connection between the …

On the Distribution of Square-Free Primitive Roots in Beatty Sequences

M Jing, S Shen - Bulletin of the Malaysian Mathematical Sciences …, 2025 - Springer
On the Distribution of Square-Free Primitive Roots in Beatty Sequences | Bulletin of the
Malaysian Mathematical Sciences Society Skip to main content Springer Nature Link …

[PDF][PDF] Constructions of pseudorandom binary lattices

KGCMA Sárközy - Uniform Distribution Theory, 2009 - pcwww.liv.ac.uk
Three constructions for binary lattices with strong pseudorandom properties are given.
These constructions are the two dimensional extensions and modifications of three of the …

Construction of pseudorandom binary lattices using elliptic curves

L Mérai - Proceedings of the American Mathematical Society, 2011 - ams.org
In an earlier paper, Hubert, Mauduit and Sárközy introduced and studied the notion of
pseudorandomness of binary lattices. Later constructions were given by using characters …

On the typical values of the cross-correlation measure

L Mérai - Monatshefte für Mathematik, 2016 - Springer
Gyarmati, Mauduit and Sárközy introduced the cross-correlation measure Φ _k (F) Φ k (F) to
measure the randomness of families of binary sequences F ⊂ {-1, 1\}^ NF⊂-1, 1 N. In this …

Chapter Measures of Pseudorandomness

K Gyarmati - Finite Fields and Their Applications: Character Sums …, 2013 - library.oapen.org
In the second half of the 1990s Christian Mauduit and András Sárközy [86] introduced a new
quantitative theory of pseudorandomness of binary sequences. Since then numerous …

Generation of further pseudorandom binary sequences, I (Blowing up a single sequence)

K Gyarmati, C Mauduit, A Sárközy - Uniform Distribution Theory, 2015 - real.mtak.hu
Assume that a binary sequence is given with strong pseudorandom properties. An algorithm
is presented and studied which prepares many further binary sequences from the given one …

[PDF][PDF] Binary sequences and lattices constructed by discrete logarithms

Y Qi, H Liu - AIMS Mathematics, 2022 - aimspress.com
In 1997, Mauduit and Sárközy first introduced the measures of pseudorandomness for
binary sequences. Since then, many pseudorandom binary sequences have been …

[PDF][PDF] CNRS, FRE3529, 163 avenue de Luminy, 13288 Marseille cedex 9, France E-mail: mauduit@ iml. univ-mrs. fr and András Sárközy

K Gyarmati - gyarmatikati.web.elte.hu
Large families of binary sequences of the same length are considered and a new measure,
the cross-correlation measure of order k is introduced to study the connection between the …