A three-dimensional chaotic map and their applications to digital audio security

Shah, Dawood; Shah, Tariq; Ahamad, Imtiaz; Haider, Muhammad Imran; Khalid, Ijaz

doi:10.1007/s11042-021-10697-3

Cited by 18 publications

(9 citation statements)

References 36 publications

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“…Shah et al [ 54 ] have developed a novel three-dimensional chaotic map and have tested its use by applying it to encrypt audio. They have used the map to shuffle around the data points of the input audio file to encrypt the original file.…”

Section: Chaotic Mapsmentioning

confidence: 99%

“…They tested the quality of encryption by finding out the correlation coefficient, which was as low as 0.0047094. Shah et al [54] have developed a novel three-dimensional chaotic map and have tested its use by applying it to encrypt audio. They have used the map to shuffle around the data points of the input audio file to encrypt the original file.…”

Section: Audio Encryption Using Chaotic Mapsmentioning

confidence: 99%

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A Review on Applications of Chaotic Maps in Pseudo-Random Number Generators and Encryption

Naik

Singh

2022

Ann. Data. Sci.

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Because of the COVID-19 pandemic, most of the tasks have shifted to an online platform. Sectors such as e-commerce, sensitive multi-media transfer, online banking have skyrocketed. Because of this, there is an urgent need to develop highly secure algorithms which can not be hacked into by unauthorized users. The method which is the backbone for building encryption algorithms is the pseudo-random number generator based on chaotic maps. Chaotic maps are mathematical functions that generate a highly arbitrary pattern based on the initial seed value. This manuscript gives a summary of how the chaotic maps are used to generate pseudo-random numbers and perform multimedia encryption. After carefully analyzing all the recent literature, we found that the lowest correlation coefficient was 0.00006, which was achieved by Ikeda chaotic map. The highest entropy was 7.999995 bits per byte using the quantum chaotic map. The lowest execution time observed was 0.23 seconds with the Zaslavsky chaotic map and the highest data rate was 15.367 Mbits per second using a hyperchaotic map. Chaotic map-based pseudo-random number generation can be utilized in multi-media encryption, video-game animations, digital marketing, chaotic system simulation, chaotic missile systems, and other applications.

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Section: Chaotic Mapsmentioning

confidence: 99%

Section: Audio Encryption Using Chaotic Mapsmentioning

confidence: 99%

A Review on Applications of Chaotic Maps in Pseudo-Random Number Generators and Encryption

Naik

Singh

2022

Ann. Data. Sci.

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“…For example, an audio encryption scheme based on Fast Walsh Hadamard Transform for removing the residual intelligibility in the transform domain followed by two phases encryption with chaotic systems is presented in [1]. Also, new chaotic maps are proposed in [2] to encrypt audio files, the experimental results showing that the proposed scheme is efficient. Another speech signal encryption algorithm based on Lorenz and Rossler chaotic systems is presented in [3].…”

Section: Introductionmentioning

confidence: 99%

Fast speech encryption algorithm based on Arnold 3D chaotic system

Macovei¹,

Raducanu²,

Cheroiu³

2023

Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies XI

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This paper presents a fast encryption algorithm for speech signals using the Arnold 3D and the Tent Map chaotic transformations. Arnold 3D chaotic map is known for the property of simultaneously combining pixel scrambling with changing their value in the process of image encryption. The aim of the architecture was to obtain a simple, robust algorithm with short encryption and decryption times, as well as resistant to attacks. All these features make it suitable for real-time communication. The algorithm consists in segmenting the speech signal, then transforming this frame into a cubic threedimensional structure of samples. The samples are inserted sequentially in vertical slices. Arnold 3D transformation is applied to this structure on horizontal slices, each slice having its own encryption key generated by a Tent Map transformation.

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“…In recent years, the requirement for new chaotic maps and systems is significantly increasing mostly for image encryption (Ye and Wong 2012, Li et al 2017, Wang et al 2020, Hu and Li 2021, Patro and Acharya 2021, Toktas et al 2021, Liu et al 2022, digital audio encryption (Shah et al 2021), pseudo random number generation (Krishnamoorthi et al 2021, Tutueva et al 2021, cryptography (Zheng and Hu 2022) secure communication (Bouteghrine et al 2021) even for secure authentication (Dharminder et al 2021). Nearly all of the kernels of these research papers are powered by existing chaotic maps discovered by the researchers.…”

Section: Introductionmentioning

confidence: 99%

A new chaotic map derived from the Hermite–Kronecker–Brioschi characterization of the Bring-Jerrard quintic form

Alpar

2023

Phys. Scr.

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The Bring-Jerrard normal form, achieved by Tschirnhaus transformation of a regular quintic, is a reduced type of the general quintic equation with quartic, cubic and quadratic terms omitted. However, the form itself is an equation opposing the mandatory characteristics of the iterative chaotic maps. Given the form represents the fixed-point equations, it is possible to turn it into a map of iterations. Under specific conditions, the quartic map achieved by transformation from the quintic normal form exhibits chaotic behavior for real numbers. Depending on the system parameters, the new map causes period-doubling until a complete chaos within a very short range. Basically, in this paper, we present a new one-dimensional chaotic map derived from the Hermite–Kronecker–Brioschi characterization of the Bring-Jerrard normal form, which exhibits chaotic behavior for negative initial points. We also included the brief analysis of the Bring-Jerrard generalized case which is the parent system of the chaotic map we proposed in this paper.

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A three-dimensional chaotic map and their applications to digital audio security

Cited by 18 publications

References 36 publications

A Review on Applications of Chaotic Maps in Pseudo-Random Number Generators and Encryption

A Review on Applications of Chaotic Maps in Pseudo-Random Number Generators and Encryption

Fast speech encryption algorithm based on Arnold 3D chaotic system

A new chaotic map derived from the Hermite–Kronecker–Brioschi characterization of the Bring-Jerrard quintic form

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