About computation of the linear complexity of generalized cyclotomic sequences with period p n+1

V Edemskiy - Designs, Codes and Cryptography, 2011 - Springer
We propose a computation method for linear complexity of series of generalized cyclotomic
sequences with period pn+ 1. This method is based on using the polynomial of the classic …

Linear complexity of binary Whiteman generalized cyclotomic sequences of order 2k

T Yan, X Du, G **ao, X Huang - Information Sciences, 2009 - Elsevier
Linear complexity of binary Whiteman generalized cyclotomic sequences of order 2k -
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Symmetric 2-Adic Complexity of Ding-Helleseth Generalized Cyclotomic Sequences of Period pq

V Edemskiy, C Wu - International Conference on Information Security and …, 2020 - Springer
In this paper, we consider Ding-Helleseth generalized cyclotomic sequences of length pq
where p and q are odd distinct primes. We derive symmetric 2-adic complexity of these …

Some Notes on Generalized Cyclotomic Sequences of Length pq

ZX Chen, SQ Li - Journal of Computer Science and Technology, 2008 - Springer
We review the constructions of two main kinds of generalized cyclotomic binary sequences
with length pq (the product with two distinct primes). One is the White-generalized cyclotomic …

Linear complexity of Ding-Helleseth sequences of order 2 over GF(l)

Q Wang, Y Jiang, D Lin - Cryptography and Communications, 2016 - Springer
Generalized cyclotomic sequences have good pseudo-random properties and have been
widely used as keystreams in private-key cryptosystems. In this paper, the linear complexity …

New nonlinear CPRNG based on tent and logistic maps

O Garasym, I Taralova, R Lozi - Complex Systems and Networks …, 2015 - Springer
This paper is devoted to the design of new chaotic Pseudo Random Number Generator
(CPRNG). Exploring several topologies of network of 1-D coupled chaotic map**, we …

Trace Representation of Binary Generalized Cyclotomic Sequences with Length pm

X Du, Z Chen - IEICE transactions on fundamentals of electronics …, 2011 - search.ieice.org
Some new generalized cyclotomic sequences defined by C. Ding and T. Helleseth are
proven to exhibit a number of good randomness properties. In this paper, we determine the …

Trace Representations of Generalized Cyclotomic Sequences of Length $\pmb {pq} $ with Arbitrary Order

X Du, Z Chen - Chinese Journal of Electronics, 2009 - ieeexplore.ieee.org
The constructions of two main classes of generalized cyclotomic binary sequences of length
pq with arbitrary order are presented by using generalized cyclotomic classes in the sense …

Linear Complexity of a New Generalized Cyclotomic Sequence of Order Two of Length pq

X Li, W Ma, T Yan, X Zhao - IEICE Transactions on Fundamentals of …, 2013 - search.ieice.org
In this letter, we first introduce a new generalized cyclotomic sequence of order two of length
pq, then we calculate its linear complexity and minimal polynomial. Our results show that this …

On the properties of generalized cyclotomic binary sequences of period

H Liu, X Liu - Designs, Codes and Cryptography, 2021 - Springer
Abstract **ao, Zeng, Li and Helleseth proposed new generalized cyclotomic binary
sequences s∞ of period pm and showed that these sequences are almost balanced and …