[HTML][HTML] A new linearization method for nonlinear feedback shift registers

J Zhong, D Lin - Journal of Computer and System Sciences, 2015 - Elsevier
Nonlinear feedback shift registers (NFSRs) have been used as the main building blocks in
many stream ciphers and convolutional decoders. The linearization of NFSRs is to find their …

On the nonlinearity of maximum-length NFSR feedbacks

M Sönmez Turan - Cryptography and Communications, 2012 - Springer
Abstract Linear Feedback Shift Registers (LFSRs) are the main building block of many
classical stream ciphers; however due to their inherent linearity, most of the LFSR-based …

Partial cycle structure of FSRs and its applications in searching de Bruijn sequences

M Li, D Lin - IEEE Transactions on Information Theory, 2022 - ieeexplore.ieee.org
We propose the concept of partial cycle structure of feedback shift registers, and study its
applications in searching the characteristic functions of de Bruijn sequences. We show that …

Distribution of linear and second-highest degree parts of maximum-length feedback functions

Y Jiang, Y Zhu - Cryptography and Communications, 2024 - Springer
De Bruijn sequences are maximum-length sequences generated by feedback shift registers.
The study of their feedback functions is very important and has attracted a lot of attention …

On maximum length nonlinear feedback shift registers using a Boolean network approach

J Zhong, D Lin - Proceedings of the 33rd Chinese Control …, 2014 - ieeexplore.ieee.org
Nonlinear feedback shift registers (NFSRs) is very popular in many applications such as
cryptography and communications. The NFSRs, especially, the maximum length NFSRs …

Evolutionary construction of de bruijn sequences

M Sonmez Turan - Proceedings of the 4th ACM workshop on Security …, 2011 - dl.acm.org
A binary de Bruijn sequence of order n is a cyclic sequence of period 2 n, in which each n-bit
pattern appears exactly once. These sequences are commonly used in random number …

Design of low power NFSR for RFID system with irregular clock pulse

T Suresh, M Ramakrishnan - Microprocessors and Microsystems, 2020 - Elsevier
Abstract This Paper describes the Low Power Non linear Feedback Shift Register (NFSR) for
Radio Frequency Identification (RFID) System. RFID systems are widely used in many …

A new necessary condition for feedback functions of de Bruijn sequences

Z Wang, W Qi, H Chen - IEICE Transactions on Fundamentals of …, 2014 - search.ieice.org
Recently nonlinear feedback shift registers (NFSRs) have frequently been used as basic
building blocks for stream ciphers. A major problem concerning NFSRs is to construct …

Longest subsequences shared by two de Bruijn sequences

Y Jiang, D Lin - Designs, Codes and Cryptography, 2020 - Springer
An order n binary de Bruijn sequence is a periodic sequence of bits with period 2^ n 2 n in
which each n-tuple of bits occurs exactly once. We consider the longest subsequences …

On characteristic functions of de Bruijn sequences

Z Tang, W Qi, T Tian - Chinese Journal of Electronics, 2016 - Wiley Online Library
In 1982, H. Fredricksen presented the upper and lower bounds of the number of ones in the
truth table of characteristic functions of de Bruijn sequences. In this paper, the distribution of …