Linear complexity and trace representation of quaternary sequences over based on generalized cyclotomic classes modulo pq

Z Chen - Cryptography and Communications, 2017 - Springer
We define a family of quaternary sequences over the residue class ring modulo 4 of length
pq, a product of two distinct odd primes, using the generalized cyclotomic classes modulo pq …

[PDF][PDF] On the correlation of symbols

Y Ren, H Liu - AIMS Mathematics, 2024 - aimspress.com
EN=(e1, e2,···, eN)∈ AN, where A={a1, a2,···, ak},(k∈ N, k≥ 2) is a finite set of k symbols.
Bérczi estimated the pseudorandom measures for a truly random sequence EN of k symbol …

A large family of pseudorandom sequences of symbols with length

H Liu, B Gao - Acta Arithmetica, 2017 - impan.pl
In a series of papers Mauduit and Sárközy introduced and studied pseudorandom measures
of finite sequences of $ k $ symbols. In this paper we construct a large family of …

On the pseudorandom properties of -ary Sidel'nikov sequences.

H Liu, Y Ren - Advances in Mathematics of Communications, 2023 - search.ebscohost.com
In 2002 Mauduit and Sárközy started to study finite sequences of $ k $ symbols\begin
{document} $ E_ {N}=\left (e_ {1}, e_ {2},\cdots, e_ {N}\right)\in\mathcal {A}^{N}, $\end …

Linear complexity and autocorrelation of a new class of binary generalized cyclotomic sequences of order two and length pqr

J Wenjuan, G Juntao, Z Peng - Journal of Systems Engineering …, 2019 - ieeexplore.ieee.org
Cyclotomic sequences have good cryptographic properties and are closely related to
difference sets. This paper proposes a new class of binary generalized cyclotomic …

On pseudorandom binary sequences constructed by using finite fields

R Sebők - Periodica Mathematica Hungarica, 2015 - Springer
By using finite fields of order p^ r pr with r ≥ 2 r≥ 2 and their quadratic characters, Sárközy
and Winterhof presented a construction for binary sequences of length p^ r pr with strong …

大族长度为pq的伪随机k元序列

H Ning, LIUB GAO - 数学学报, 2017 - actamath.cjoe.ac.cn
µ ¹ « Æ ¾ §710127 ¶ à ³k ¿ . © pq ¼ ±Zpq ²» ½ , ³ Ĭ pq ¿k , ªÁ·º ¿ . ; ²» Page 1 60Ü3± È £ £ ¢ ¦¤¢
Vol.60, No.3 2017 5 ACTA MATHEMATICA SINICA, CHINESE SERIES May, 2017 Þ È …