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Linear Complexity of A Family of Binary pq2 -periodic Sequences From Euler Quotients
Cryptography linear complexity binary sequences
2019/6/21
We first introduce a family of binary pq2pq2 -periodic sequences based on the Euler quotients modulo pqpq, where pp and qq are two distinct odd primes and pp divides q−1q−1. The minimal po...
Linear Complexity of Designs based on Coordinate Sequences of LRS and on Digital Sequences of Matrix/Skew LRS Coordinate Sequences over Galois Ring
matrix linear congruent generator skew linear recurrent sequence pseudo-random sequences
2016/12/8
Here we continue investigation of linear complexity properties of different ways to generate
pseudo-random sequences over Galois field wich essentially involves linear recurrences over
Galois ring a...
An Algorithm for Counting the Number of $2^n$-Periodic Binary Sequences with Fixed $k$-Error Linear Complexity
Sequence Linear Complexity k-Error Linear Complexity
2016/12/7
The linear complexity and kk-error linear complexity of sequences are important measures of the strength of key-streams generated by stream ciphers. The counting function of a sequence complexity meas...
Low Linear Complexity Estimates for Coordinate Sequences of Linear Recurrences of Maximal Period over Galois Ring
linear recurrent sequence linear complexity/rank estimations pseudo-random sequences
2016/3/1
In this work we provide low rank estimations for coordinate sequences of linear recurrent sequences (LRS) of maximal period (MP) over Galois ring R=GR(pn,r), p≥5, r≥2, with numbers s such that s=kr+2,...
On a new properties of number sequences ,a randomness test and a new RC4's key scheduling algorithm.
Randomness test Statistical indices RC4 key scheduling
2016/1/9
In this paper, we introduce the concept of the derivative of sequence of numbers and define
new statistical indices by which we discoverd new properties of randomly generated number
sequences. We al...
The Uniform Distribution of Sequences Generated by Iteration of Polynomials
pseudo-randomness polynomial PRNG uniform distribution
2015/12/31
Consider a collection f of polynomials fi(x), i=1,…,s, with integer coefficients such that polynomials fi(x)−fi(0), i=1,…,s, are linearly independent. Denote by Dm the discrepancy for the set of...
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...
Construction for de Bruijn Sequences with Large Orders
de Bruijn sequence state cycle period of irreducible polynomial
2015/12/21
Sequences generated by maximum-period nonlinear feedback shift registers are known as de
Bruijn sequences. The problem of designing de Bruijn sequences has received considerable attention.
There is ...
We explain the origins of Boolean feedback functions of nonlinear feedback shift registers (NLFSRs) of fixed order n generating de Bruijn binary sequences. They all come into existence by cross joinin...
On Stochastic Security of Java Crypto and NIST DRBG Pseudorandom Sequences
pseudorandomness
2014/3/11
Cryptographic primitives such as secure hash functions (e.g., SHA1, SHA2, and SHA3) and symmetric key block ciphers (e.g., AES and TDES) have been commonly used to design pseudorandom generators with ...
(Non-)Random Sequences from (Non-)Random Permutations - Analysis of RC4 stream cipher
Bias Cryptography Distinguisher Probability Distribution Pseudo-Random Permutation Pseudo-Random Word Random Sequences RC4 Sequences Stream Ciphers.
2012/3/26
RC4 has been the most popular stream cipher in the history of symmetric key cryptography till date. Its internal state contains a pseudo-random permutation over all $n$-bit words (typically $n = 8$) a...
Evolutionary Construction of de Bruijn Sequences
De Bruijn sequences Genetic algorithms Traveling salesman problem
2012/6/14
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 generation and sym...
Evolutionary Construction of de Bruijn Sequences
secret-key cryptography / De Bruijn sequences Genetic algorithms Traveling salesman problem
2012/3/20
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 generation and sym...
Evolutionary Construction of de Bruijn Sequences
De Bruijn sequences Genetic algorithms Traveling salesman problem
2012/8/28
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 generation and sym...