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In this work, pseudorandom sequence generators based on finite fields have been analyzed from the point of view of their cryptographic application. In fact, a class of nonlinear sequence generators has been modelled in terms of linear…

密码学与安全 · 计算机科学 2010-05-12 Amparo Fuster-Sabater , Pino Caballero-Gil

In this paper, we develop a new cellular automata-based linear model for several nonlinear pseudorandom number generators with practical applications in symmetric cryptography. Such a model generates all the solutions of linear binary…

密码学与安全 · 计算机科学 2010-05-04 Pino Caballero-Gil , Amparo Fúster-Sabater , Oscar Delgado-Mohatar

Structural properties of two well-known families of keystream generators, Shrinking Generators and Cellular Automata, have been analyzed. Emphasis is on the equivalence of the binary sequences obtained from both kinds of generators. In…

密码学与安全 · 计算机科学 2010-06-10 Amparo Fúster-Sabater , Dolores de la Gu'\ia-Martínez

We present an iterative approach to constructing pseudorandom generators, based on the repeated application of mild pseudorandom restrictions. We use this template to construct pseudorandom generators for combinatorial rectangles and…

计算复杂性 · 计算机科学 2012-10-02 Parikshit Gopalan , Raghu Meka , Omer Reingold , Luca Trevisan , Salil Vadhan

For data ciphering a key is usually needed as a base, so it is indispensable to have one that is strong and trustworthy, so as to keep others from accessing the ciphered data. This requires a pseudo-random number generator that would…

计算复杂性 · 计算机科学 2011-09-27 Elena Villarreal Zapata , Francisco Cruz Ordaz Salazar

We propose a new 10-bit S-box generated from a Feistel construction. The subpermutations are generated by a 5-cell cellular automaton based on a unique well-chosen rule and bijective affine transformations. In particular, the cellular…

密码学与安全 · 计算机科学 2025-07-04 Thomas Prévost , Bruno Martin

Security of information transmitted through the Internet, against passive or active attacks is an international concern. The use of a chaos-based pseudo-random bit sequence to make it unrecognizable by an intruder, is a field of research in…

密码学与安全 · 计算机科学 2010-04-15 Qianxue Wang , Christophe Guyeux , Jacques M. Bahi

Generation of pseudo random sequences by cellular automata, as well as by hybrid cellular automata is surveyed. An application to the fast evaluation and FPGA implementation of some classes of boolean functions is sketched out.

离散数学 · 计算机科学 2008-07-25 Bruno Martin , Patrick Solé

This letter shows that linear Cellular Automata based on rules 90/150 generate all the solutions of linear difference equations with binary constant coefficients. Some of these solutions are pseudo-random noise sequences with application in…

密码学与安全 · 计算机科学 2015-03-17 A. Fúster-Sabater , P. Caballero-Gil

Cryptographic schemes using one-dimensional, three-neighbor cellular automata as a primitive have been put forth since at least 1985. Early results showed good statistical pseudorandomness, and the simplicity of their construction made them…

密码学与安全 · 计算机科学 2013-06-18 Jason Spencer

In this paper we present experiments in order to show how some pseudo random number generators can improve the effectiveness of a statistical cryptanalysis algorithm. We deduce mainly that a better generator enhance the accuracy of the…

密码学与安全 · 计算机科学 2014-09-19 O. Benamara , F. Merazka

This paper considers interactions between cellular automata and cryptology. It is known that non-linear elementary rule which is correlation-immune don't exist. This results limits the use of cellular automata as pseudo-random generators…

密码学与安全 · 计算机科学 2008-07-16 Bruno Martin

A cellular automaton with $n$ states may be used for construction of reversible second-order cellular automaton with $n^2$ states. Reversible cellular automata with hidden parameters discussed in this paper are generalization of such…

元胞自动机与格子气 · 物理学 2014-03-25 Alexander Yu. Vlasov

The aim of this paper is to present a new design for a pseudorandom number generator (PRNG) that is cryptographically secure, passes all of the usual statistical tests referenced in the literature and hence generates high quality random…

密码学与安全 · 计算机科学 2025-03-25 Juan Di Mauro , Eduardo Salazar , Hugo D. Scolnik

A small-world cellular automaton network has been formulated to simulate the long-range interactions of complex networks using unconventional computing methods in this paper. Conventional cellular automata use local updating rules. The new…

元胞自动机与格子气 · 物理学 2010-03-26 Xin-She Yang , Young Z. L. Yang

A wide family of nonlinear sequence generators, the so-called clock-controlled shrinking generators, has been analyzed and identified with a subset of linear cellular automata. The algorithm that converts the given generator into a linear…

密码学与安全 · 计算机科学 2010-05-19 Amparo Fúster-Sabater

The sequences produced by the cryptographic sequence generator known as the shrinking generator can be modelled as the output sequences of linear elementary cellular automata. These sequences are composed of interleaved m-sequences produced…

密码学与安全 · 计算机科学 2018-02-08 Sara D. Cardell , Amparo Fúster-Sabater

In this paper, the author aims to establish a mathematical model for a mimic computer. To this end, a novel automaton is proposed. First, a one-dimensional cellular automaton is used for expressing some dynamic changes in the structure of a…

形式语言与自动机理论 · 计算机科学 2017-03-07 Weijun Zhu

Quantum computation based on quantum cellular automata (QCA) can greatly reduce the control and precision necessary for experimental implementations of quantum information processing. A QCA system consists of a few species of qubits in…

量子物理 · 物理学 2009-11-10 Yaakov S. Weinstein , C. Stephen Hellberg

This paper presents a classification of Cellular Automata rules based on its properties at the nth iteration. Elaborate computer program has been designed to get the nth iteration for arbitrary 1-D or 2-D CA rules. Studies indicate that the…

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