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The Adjacency Graphs of Linear Feedback Shift Registers with Primitive-like Characteristic Polynomials
feedback shift register adjacency graph De Bruijn sequence
2016/3/11
We consider the adjacency graphs of the linear feedback shift registers (LFSRs) with characteristic polynomials of the form l(x)p(x), where l(x) is a polynomial of small degree and p(x) is a primitive...
An Equivalence-Preserving Transformation of Shift Registers
Feedback shift register NLFSR Fibonacci configuration
2016/1/26
The Fibonacci-to-Galois transformation is useful for reducing the propagation
delay of feedback shift register-based stream ciphers and hash functions.
In this paper, we extend it to handle Galois-t...
The Adjacency Graphs of Some Feedback Shift Registers
MSC(94A55) feedback shift register adjacency graph de Bruijn sequence
2016/1/7
The adjacency graphs of feedback shift registers (FSRs) with characteristic function of the
form g = (x0+x1)∗f are considered in this paper. Some properties about these FSRs are given.
It is p...
Linearization of Multi-valued Nonlinear Feedback Shift Registers
Shift register Semi-tensor product state transition matrix
2016/1/3
The Linearization of Nonlinear feedback shift registers (NFSRs) is to find their state transition matrices. In this paper,
we investigate the linearization multi-valued NFSRs by considering it as a l...
Stability and Linearization of Multi-valued Nonlinear Feedback Shift Registers
Nonlinear feedback shift register Semi-tensor product State transition matrix
2016/1/3
In this paper, we study stability and linearization of multivalued
nonlinear feedback shift registers which are considered as logic
networks. First, the linearization of multi-valued nonlinear feedb...
A Group-theory Method to The Cycle Structures of Feedback Shift Registers
feedback shift register cycle structure symmetric group
2015/12/31
In this paper, we consider the cycle structures of feedback shift registers (FSRs).
At the beginning, the cycle structures of two special classes of FSRs, pure circulating
registers (PCRs) and pure ...
De Bruijn Sequences from Nonlinear Feedback Shift Registers
De Bruijn sequence feedback shift register cycle joining method
2015/12/29
We continue the research of Jansen et al. (IEEE Trans on Information Theory 1991)
to construct De Bruijn sequences from feedback shift registers (FSRs) that contain
only very short cycles. Firstly, ...
De Bruijn Sequences from Symmetric Shift Registers
symmetric boolean function feedback shift register De Bruijn sequence
2015/12/21
We consider the symmetric Feedback Shift Registers (FSRs), especially a special class of
symmetric FSRs (we call them scattered symmetric FSRs), and construct a large class of De
Bruijn sequences fr...
Searching for Nonlinear Feedback Shift Registers with Parallel Computing
maximum period quadratic m-sequences
2014/3/10
Nonlinear feedback shift registers (NLFSRs) are used to construct pseudorandom generators for stream ciphers. Their theory is not so complete as that of linear feedback shift registers (LFSRs). In gen...
Clock-Controlled Shift Registers for Key-Stream Generation
Clock-Controlled Shift Registers Key-Stream Generation
2009/4/16
In this paper we estimate the period of the sequence generated
by a clock-controlled LFSR with an irreducible feedback polynomial
and an arbitrary structure of the control sequence, as well as some ...
Mixing properties of triangular feedback shift registers
Mixing properties triangular feedback shift registers
2009/1/12
The purpose of this note is to show that Markov chains induced by nonsingular
triangular feedback shift registers and non-degenerate sources are
rapidly mixing. The results may directly be applied t...