New families of balanced quaternary sequences of even period with three-level optimal autocorrelation

X Shen, Y Jia, J Wang, L Zhang - IEEE Communications Letters, 2017 - ieeexplore.ieee.org
In this letter, we present two new families of balanced quaternary sequences of period N= 2p
with optimal three-level autocorrelation, where p= 4f+ 1 is an odd prime and has a quadratic …

A lower bound on the 2-adic complexity of Ding-Helleseth generalized cyclotomic sequences of period

Y Sun, Q Wang, T Yan, C Zhao - arXiv preprint arXiv:1704.05544, 2017 - arxiv.org
Let $ p $ be an odd prime, $ n $ a positive integer and $ g $ a primitive root of $ p^ n $.
Suppose $ D_i^{(p^ n)}=\{g^{2s+ i}| s= 0, 1, 2,\cdots,\frac {(p-1) p^{n-1}}{2}\} $, $ i= 0, 1$, is …

Interleaved sequences of geometric sequences binarized with Legendre symbol of two types

K Tsuchiya, Y Nogami, S Uehara - IEICE Transactions on …, 2017 - search.ieice.org
A pseudorandom number generator is widely used in cryptography. A cryptographic
pseudorandom number generator is required to generate pseudorandom numbers which …

A New Almost Difference Set Construction

D Clayton - 2017 - scholarship.richmond.edu
This paper considers the appearance of almost difference sets in non-abelian groups. While
numerous construction methods for these structures are known in abelian groups, little is …

The 2-adic complexity of a class of binary sequences with almost optimal autocorrelation

Y Sun, Q Wang, T Yan - arXiv preprint arXiv:1701.03766, 2017 - arxiv.org
Pseudo-random sequences with good statistical property, such as low autocorrelation, high
linear complexity and large 2-adic complexity, have been applied in stream cipher. In …

[引用][C] The detailed autocorrelation distribution and 2-adic complexity of a classes of binary sequences with almost optimal autocorrelation

Y Sun, T Yan, Q Wang - arXiv preprint arXiv:1701.03766, 2017