Study of a New Chaotic Dynamical System and Its Usage in a Novel Pseudorandom Bit Generator

Dăscălescu, Ana-Cristina; Boriga, Radu; Diaconu, Adrian-Viorel

doi:10.1155/2013/769108

Cited by 17 publications

(9 citation statements)

References 53 publications

(62 reference statements)

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“…Reference [11] proposed a one-dimensional iterative chaotic map with infinite collapses within symmetrical region [−1, 0) ∪ (0, 1]. In [6], a novel chaotic system, built on trigonometric functions, is proposed. The new chaotic system is used, in conjunction with a binary operation, in the designing of a new pseudo-random bit generator algorithm.…”

Section: Introductionmentioning

confidence: 99%

Novel secure pseudo-random number generation scheme based on two Tinkerbell maps

Stoyanov¹,

Kordov²

2015

astp

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The chaotic map based pseudo-random number generators with good statistical properties have been widely used in modern cryptography algorithms. This paper proposes a Tinkerbell map as a novel pseudorandom number generator. We evaluated the proposed approach with various statistical packages: NIST, DIEHARD and ENT. The results of the analysis demonstrate that the new derivative bit stream scheme is very suitable for embedding in critical cryptographic applications.

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Section: Introductionmentioning

confidence: 99%

Novel secure pseudo-random number generation scheme based on two Tinkerbell maps

Stoyanov¹,

Kordov²

2015

astp

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“…Two ciphering matrices are computed by the pseudorandom number generator PRNG (8), which has been proven to have attractor's fractal structure, ergodicity, and an enormous key space [24]. …”

Section: Computing Ciphering Matricesmentioning

confidence: 99%

Cryptanalysis and Improvement of Chaos‐Based Image Encryption Scheme with Circular Inter‐Intra‐Pixels Bit‐Level Permutation

Fan

2017

Mathematical Problems in Engineering

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A novel chaos-based image encryption scheme has been proposed recently. In this scheme, redundancies of the Fridrich's structure were reduced significantly via a new circular inter-intra-pixels bit-level permutation strategy. However, we proved that the original encryption scheme is vulnerable to the known/chosen-plaintext attacks. Both the permutation and diffusion phases have been improved to enhance the security of the original scheme. By shifting each row of the plain image randomly, known-plaintext attacks could be resisted. Furthermore, by appending double crossover diffusion to the end of the original scheme, chosen-plaintext attacks lost their efficacies. Simulation results demonstrated that the improved encryption scheme outperforms the original one.

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“…Although any PRBG can be used, for example, [34][35][36][37][38][39][40], due to its good cryptographic properties and suitability for cryptographic application, that is, large key space and good randomness features, as proven in [41], PRNG model (1) was used, within designing and testing stages of this work. On PRNG's output sequence of real numbers the multilevel discretization method [42] (e.g., with four thresholds, i.e., 2-bit encoding of each interval) was applied, resulted dibits being spread into two different files (i.e., "Bits A.txt, " containing dibit's first bit, and, resp., "Bits B.txt, " containing dibit's second bit).…”

Section: Use Of the Chaotic Map In Scrambler's Designmentioning

confidence: 99%

Color Image Scrambling Technique Based on Transposition of Pixels between RGB Channels Using Knight’s Moving Rules and Digital Chaotic Map

Diaconu

Costea

Costea³

2014

Mathematical Problems in Engineering

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Nowadays, increasingly, it seems that the use of rule sets of the most popular games, particularly in new images’ encryption algorithms designing branch, leads to the crystallization of a new paradigm in the field of cryptography. Thus, motivated by this, the present paper aims to study a newly designed digital image scrambler (as part of the two fundamental techniques used to encrypt a block of pixels, i.e., the permutation stage) that uses knight’s moving rules (i.e., from the game of chess), in conjunction with a chaos-based pseudorandom bit generator, abbreviated PRBG, in order to transpose original image’s pixels between RGB channels. Theoretical and practical arguments, rounded by good numerical results on scrambler’s performances analysis (i.e., under various investigation methods, including visual inspection, adjacent pixels’ correlation coefficients’ computation, key’s space and sensitivity assessment, etc.) confirm viability of the proposed method (i.e., it ensures the coveted confusion factor) recommending its usage within cryptographic applications.

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Study of a New Chaotic Dynamical System and Its Usage in a Novel Pseudorandom Bit Generator

Cited by 17 publications

References 53 publications

Novel secure pseudo-random number generation scheme based on two Tinkerbell maps

Novel secure pseudo-random number generation scheme based on two Tinkerbell maps

Cryptanalysis and Improvement of Chaos‐Based Image Encryption Scheme with Circular Inter‐Intra‐Pixels Bit‐Level Permutation

Color Image Scrambling Technique Based on Transposition of Pixels between RGB Channels Using Knight’s Moving Rules and Digital Chaotic Map

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