The 4-adic complexity of interleaved quaternary sequences of even length with optimal autocorrelation

X Jing, Z Xu, M Yang, K Feng - arXiv preprint arXiv:2209.10279, 2022 - arxiv.org
Su et al. proposed several new classes of quaternary sequences of even length with optimal
autocorrelation interleaved by twin-prime sequences pairs, GMW sequences pairs or binary …

On the symmetric 2-adic complexity of periodic binary sequences

Z Xiao, X Zeng, M Ke - Advances in Mathematics of …, 2022 - aimsciences.org
Symmetric 2-adic complexity is a better measure for assessing the strength of a periodic
binary sequence against the rational approximation attack. We study the symmetric 2-adic …

The symmetric 2-adic complexity of sequences with optimal autocorrelation magnitude and length 8q

V Edemskiy, Y Sun - Cryptography and Communications, 2022 - Springer
This paper is devoted to studying the symmetric 2-adic complexity of sequences with optimal
autocorrelation magnitude and period 8 q, where q is a prime satisfying q≡ 5 (mod 8) …

on the 2-adic complexity of cyclotomic binary sequences of order three.

F Sun, Q Yue, X Li - Advances in Mathematics of …, 2022 - search.ebscohost.com
Abstract Let $ p\equiv 1\pmod 3$ be a prime. In this paper, we determine the 2-adic
complexity of all non-trivial balanced cyclotomic binary sequences of order three with period …

[HTML][HTML] 素数长理想平衡四元几乎失配互补对构造

彭秀平, 郑德亮, 李红晓 - 电子与信息学报, 2022 - jeit.ac.cn
当一对失配序列的所有异相自相关函数和均为同一非0 整数时, 称该对失配序列为几乎失配互补
对. 该文提出平衡4 元几乎失配互补对的新类型序列, 通过Gray 映射证明得到了平衡的素数长4 …

[PDF][PDF] 周期为4v (几乎) 平衡理想二进制序列构造研究

彭秀平, 冀惠璞, 林洪彬, 刘刚 - 电子与信息学报, 2022 - jeit.ac.cn
具有理想自相关特性的序列在无线通信, 雷达以及密码学中具有重要的作用.
因此为了扩展更多可应用于通信系统的理想序列, 该文基于2 阶分圆类和中国剩余定理, 提出3 …

On the equivalence of several classes of quaternary sequences with optimal autocorrelation and length .

P Ke, P Qiao, Y Yang - Advances in Mathematics of …, 2022 - search.ebscohost.com
Quaternary sequences with optimal autocorrelation property are preferred in applications.
Cyclotomic classes of order 4 are widely used in the constructions of quaternary sequences …

On the 2-Adic Complexity of Cyclotomic Binary Sequences with Period and 

F Sun, Q Yue, X Li - International Workshop on the Arithmetic of Finite …, 2022 - Springer
Let p be a prime. In this paper, we obtain the 2-adic complexity of all almost balanced
cyclotomic binary sequence of order two with period p 2; and also show the 2-adic …

Nearly optimal balanced quaternary sequence pairs of prime period

M Zhao, C Fan, Z Tian - Designs, Codes and Cryptography, 2022 - Springer
In this paper, for balanced quaternary sequence pairs (BQSPs for short) of period N≡ 1
(mod 4), the optimal cross-correlation is determined and a lower bound on the maximum …

The Constructions of Optimal Balanced Quadriphase Almost Mismatched Complementary Pairs with Prime Length

X PENG, D ZHENG, H LI - 电子与信息学报, 2022 - jeit.ac.cn
A pair of mismatched sequences is called an almost mismatched complementary pair if their
periodic autocorrelation functions sum up to a same nonzero integer for all out-of-phase time …