Results 1 to 10 of about 95 (18)

Provable security against generic attacks on stream ciphers

open access: yesJournal of Mathematical Cryptology, 2023
Recent lightweight hardware-based stream cipher designs keep an external non-volatile internal state that is not part of the cipher’s hardware module. The purpose of these so-called small-state ciphers is to keep the size of the hardware and the power ...
Moch Alexander
doaj   +1 more source

Constructions of pseudorandom binary lattices using cyclotomic classes in finite fields

open access: yesOpen Mathematics, 2020
In 2006, Hubert, Mauduit and Sárközy extended the notion of binary sequences to n-dimensional binary lattices and introduced the measures of pseudorandomness of binary lattices.
Chen Xiaolin
doaj   +1 more source

Linearity in decimation-based generators: an improved cryptanalysis on the shrinking generator

open access: yesOpen Mathematics, 2018
Decimation-based sequence generators are a class of non-linear cryptographic generators designed to be used in hardware implementations. An inherent characteristic of such generators is that their output sequences are interleaved sequences.
Cardell Sara D.   +2 more
doaj   +1 more source

Barker sequences of odd length [PDF]

open access: yes, 2015
A Barker sequence is a binary sequence for which all nontrivial aperiodic autocorrelations are at most 1 in magnitude. An old conjecture due to Turyn asserts that there is no Barker sequence of length greater than 13.
Schmidt, Kai-Uwe, Willms, Jürgen
core   +1 more source

Estudio de algunas secuencias pseudoaleatorias de aplicación criptográfica [PDF]

open access: yes, 1998
Pseudorandom binary sequences are required in stream ciphers and other applications of modern communication systems. In the first case it is essential that the sequences be unpredictable.
Caballero Gil, Pino   +1 more
core   +4 more sources

Remarks on a cyclotomic sequence [PDF]

open access: yes, 2008
We analyse a binary cyclotomic sequence constructed via generalized cyclotomic classes by Bai et al. (IEEE Trans Inforem Theory 51: 1849-1853, 2005).
Meidl, Wilfried
core   +2 more sources

On the k-error linear complexity of cyclotomic sequences [PDF]

open access: yes, 2007
Exact values and bounds on the k-error linear complexity of p-periodic sequences which are constant on the cyclotomic classes are determined. This family of sequences includes sequences of discrete logarithms, Legendre sequences and Hall's sextic residue
Hassan, Aly   +2 more
core   +1 more source

Remarks on the k-error linear complexity of p(n)-periodic sequences [PDF]

open access: yes, 2007
Recently the first author presented exact formulas for the number of 2ⁿn-periodic binary sequences with given 1-error linear complexity, and an exact formula for the expected 1-error linear complexity and upper and lower bounds for the expected k-error ...
AGB Lauder   +11 more
core   +1 more source

How to determine linear complexity and $k$-error linear complexity in some classes of linear recurring sequences [PDF]

open access: yes, 2008
Several fast algorithms for the determination of the linear complexity of $d$-periodic sequences over a finite field $\F_q$, i.e. sequences with characteristic polynomial $f(x) = x^d-1$, have been proposed in the literature. In this contribution fast
A. Salagean   +20 more
core   +2 more sources

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