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 …

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 …

Construction of pseudorandom binary sequences over elliptic curves using multiplicative
characters Page 1 Construction of pseudorandom binary sequences over elliptic curves …

Abstract Ahlswede, Khachatrian, Mauduit and Sárközy introduced the notion of family
complexity, Gyarmati, Mauduit and Sárközy introduced the cross-correlation measure for …

CONSTRUCTION OF PSEUDORANDOM BINARY LATTICES BASED ON MULTIPLICATIVE
CHARACTERS 1. Introduction Page 1 Periodica Mathematica Hungarica Vol. 59 (1), 2009, pp …

The notion of pseudo-randomness of subsets of\mathbb Z_n is defined, and the measures of
pseudo-randomness are introduced. Then a construction (based on the use of hybrid …

Three constructions for binary lattices with strong pseudorandom properties are given.
These constructions are the two dimensional extensions and modifications of three of the …

Pseudorandom binary sequences play a crucial role in cryptography. The classical
approach to pseudorandomness of binary sequences is based on computational complexity …

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 …

Mauduit, Rivat and Sárközy presented a construction of a binary sequence which utilizes
properties of additive characters and polynomials, and showed that for this sequence both …