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 …

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

The theory of finite pseudo-random binary sequences was built by C. Mauduit and A.
Sárközy and later extended to sequences of k symbols (or k-ary sequences). Certain …

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 …

First the notion of r-almost s-uniform tree is introduced which includes both the case of
finitely generated free groups and uniform binary trees as special cases. The goal of the …

伪随机序列在测量测距, 流密码, 雷达导航, CDMA, 扩频通信等领域都有十分广泛的应用,
因此设计新型的具有良好随机性质的伪随机序列具有现实的应用背景. 在保密通信系统和密码学 …

We define the pseudorandom lattice of kk symbols, and present some new constructions of
families of such lattices, which generalize several previous constructions for the …

A family of pseudorandom sequences of kk symbols are constructed by using finite fields of
prime-power order. The construction is an extension of certain construction of Sárközy and …