scholarly journals Speech encryption by multiple chaotic map with fast fourier transform

2020 ◽  
Vol 10 (6) ◽  
pp. 5658
Author(s):  
Yahia Alemami ◽  
Mohamad Afendee Mohamed ◽  
Saleh Atiewi ◽  
Mustafa Mamat
Keyword(s):  
Social Communication ◽  
Data Security ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Logistic Map ◽  
The Other ◽  
Mathematical Structures ◽  
Multiple Encryption ◽  
Encryption Algorithms ◽  
Speech Encryption

There are various ways of social communication including writing (WhatsApp, Messenger, Facebook, Twitter, Skype, etc), calling (mobile phone) and voice recording (record your voice and then send it to the other party), but there are ways to eavesdropping the calls and voice messages, One way to solve this problem is via cryptographic approach. Chaos cryptography build on top of nonlinear dynamics chaotic system has gained some footstep in data security. It provides an alternative to conventional cryptography built on top of mathematical structures. This research focuses on the protection of speech recording by encrypting it with multiple encryption algorithms, including chaotic maps (Logistic Map and Sine Maps).

scholarly journals A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps

Electronics ◽  
2021 ◽  
Vol 10 (11) ◽  
pp. 1313
Author(s):  
Wenhao Yan ◽  
Qun Ding
Keyword(s):  
Chaotic Systems ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Logistic Map ◽  
Sample Entropy ◽  
One Dimension ◽  
Linear Combinations ◽  
Dynamic Design ◽  
Construction Methods ◽  
Low Dimensional

In this paper, a method to enhance the dynamic characteristics of one-dimension (1D) chaotic maps is first presented. Linear combinations and nonlinear transform based on existing chaotic systems (LNECS) are introduced. Then, a numerical chaotic map (LCLS), based on Logistic map and Sine map, is given. Through the analysis of a bifurcation diagram, Lyapunov exponent (LE), and Sample entropy (SE), we can see that CLS has overcome the shortcomings of a low-dimensional chaotic system and can be used in the field of cryptology. In addition, the construction of eight functions is designed to obtain an S-box. Finally, five security criteria of the S-box are shown, which indicate the S-box based on the proposed in this paper has strong encryption characteristics. The research of this paper is helpful for the development of cryptography study such as dynamic construction methods based on chaotic systems.

scholarly journals An Investigation into the Performance of Particle Swarm Optimization with Various Chaotic Maps

2014 ◽  
Vol 2014 ◽  
pp. 1-17 ◽  
Author(s):  
Akugbe Martins Arasomwan ◽  
Aderemi Oluyinka Adewumi
Keyword(s):  
Particle Swarm Optimization ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Logistic Map ◽  
Particle Swarm ◽  
Test Problems ◽  
Swarm Optimization ◽  
Inertia Weight ◽  
Mathematical Problems ◽  
Logistic Chaotic Map

This paper experimentally investigates the effect of nine chaotic maps on the performance of two Particle Swarm Optimization (PSO) variants, namely, Random Inertia Weight PSO (RIW-PSO) and Linear Decreasing Inertia Weight PSO (LDIW-PSO) algorithms. The applications of logistic chaotic map by researchers to these variants have led to Chaotic Random Inertia Weight PSO (CRIW-PSO) and Chaotic Linear Decreasing Inertia Weight PSO (CDIW-PSO) with improved optimizing capability due to better global search mobility. However, there are many other chaotic maps in literature which could perhaps enhance the performances of RIW-PSO and LDIW-PSO more than logistic map. Some benchmark mathematical problems well-studied in literature were used to verify the performances of RIW-PSO and LDIW-PSO variants using the nine chaotic maps in comparison with logistic chaotic map. Results show that the performances of these two variants were improved more by many of the chaotic maps than by logistic map in many of the test problems. The best performance, in terms of function evaluations, was obtained by the two variants using Intermittency chaotic map. Results in this paper provide a platform for informative decision making when selecting chaotic maps to be used in the inertia weight formula of LDIW-PSO and RIW-PSO.

DESIGN OF PSEUDO-RANDOM BIT GENERATOR BASED ON CHAOTIC MAPS

2012 ◽  
Vol 26 (32) ◽  
pp. 1250208 ◽  
Author(s):  
XING-YUAN WANG ◽  
LEI YANG
Keyword(s):  
Cycle Length ◽  
Stream Cipher ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
The Other ◽  
One Dimensional ◽  
Random Bit Generator ◽  
Dynamical Properties ◽  
Finite States

In order to solve the problem of degradation of dynamical properties caused by finite states of computer, a new binary stream-cipher algorithm based on dual one-dimensional chaotic maps is proposed in this paper. In the process of generation, we employ a parameter of one chaotic map to perturb the other chaotic map's trajectory to lengthen the cycle-length of the other chaotic map's trajectory. In addition, we design a nonlinear principle to generate a pseudo-random chaotic bit sequence as key stream. Statistic proprieties show that the sequence is of high randomness.

scholarly journals A Nonlinearly Modulated Logistic Map With Delay for Image Encryption

Electronics ◽  
2018 ◽  
Vol 7 (11) ◽  
pp. 326 ◽  
Author(s):  
Shouliang Li ◽  
Benshun Yin ◽  
Weikang Ding ◽  
Tongfeng Zhang ◽  
Yide Ma
Keyword(s):  
Lyapunov Exponents ◽  
Image Encryption ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Logistic Map ◽  
Delay Model ◽  
Test Results ◽  
Bit Plane ◽  
Differential Attacks ◽  
Image Encryption Algorithm

Considering that a majority of the traditional one-dimensional discrete chaotic maps have disadvantages including a relatively narrow chaotic range, smaller Lyapunov exponents, and excessive periodic windows, a new nonlinearly modulated Logistic map with delay model (NMLD) is proposed. Accordingly, a chaotic map called a first-order Feigenbaum-Logistic NMLD (FL-NMLD) is proposed. Simulation results demonstrate that FL-NMLD has a considerably wider chaotic range, larger Lyapunov exponents, and superior ergodicity compared with existing chaotic maps. Based on FL-NMLD, we propose a new image encryption algorithm that joins the pixel plane and bit-plane shuffle (JPB). The simulation and test results confirm that JPB has higher security than simple pixel-plane encryption and is faster than simple bit-plane encryption. Moreover, it can resist the majority of attacks including statistical and differential attacks.

scholarly journals The Design and FPGA-Based Implementation of a Stream Cipher Based on a Secure Chaotic Generator

2021 ◽  
Vol 11 (2) ◽  
pp. 625
Author(s):  
Fethi Dridi ◽  
Safwan El Assad ◽  
Wajih El Hadj Youssef ◽  
Mohsen Machhout ◽  
René Lozi
Keyword(s):  
Stream Cipher ◽  
Chaotic Maps ◽  
Statistical Tests ◽  
Chaotic Map ◽  
Logistic Map ◽  
Tent Map ◽  
First Order ◽  
Recursive Filters ◽  
Weakly Coupled ◽  
Chebyshev Map

In this study, with an FPGA-board using VHDL, we designed a secure chaos-based stream cipher (SCbSC), and we evaluated its hardware implementation performance in terms of computational complexity and its security. The fundamental element of the system is the proposed secure pseudo-chaotic number generator (SPCNG). The architecture of the proposed SPCNG includes three first-order recursive filters, each containing a discrete chaotic map and a mixing technique using an internal pseudo-random number (PRN). The three discrete chaotic maps, namely, the 3D Chebyshev map (3D Ch), the 1D logistic map (L), and the 1D skew-tent map (S), are weakly coupled by a predefined coupling matrix M. The mixing technique combined with the weak coupling technique of the three chaotic maps allows preserving the system against side-channel attacks (SCAs). The proposed system was implemented on a Xilinx XC7Z020 PYNQ-Z2 FPGA platform. Logic resources, throughput, and cryptanalytic and statistical tests showed a good tradeoff between efficiency and security. Thus, the proposed SCbSC can be used as a secure stream cipher.

scholarly journals FPGA Hardware Co-Simulation of Image Encryption using Hybrid Chaotic Maps Based Stream Cipher

2020 ◽  
Vol 9 (4) ◽  
pp. 215-225
Keyword(s):  
Image Encryption ◽  
Stream Cipher ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Security Analysis ◽  
Differential Attack ◽  
Finite Precision ◽  
System Generator ◽  
Encryption Algorithms ◽  
Brute Force Attack

In This paper, new model of image encryption is designed. This model using stream cipher based on finite precision chaotic maps. The model designed in efficient way by using Xilinx System Generator (XSG). Pseudo Random Bit Generator (PRBG) depends on chaotic maps is proposed to design Fixed Point Hybrid Chaotic Map-PRBG (FPHYBCM-PRBG). National Institute of Standards and Technology (NIST) randomness measures tested the randomness of the proposed FPHYBCM-PRBG system. The security analysis, such as histogram, correlation coefficient, information entropy, differential attack (NPCR and UACI) are used to analyze the proposed system. Also, FPGA Hardware Co-Simulation over Xilinx SP605 XC6SLX45T provided to test the reality of image encryption system. The results show that FPHYBCM-PRBG is suitable for image encryption based on stream cipher and outperform some encryption algorithms in sufficient way to enhance the security and robust against brute force attack with low maximum frequency and throughput.

scholarly journals Designing 1D Chaotic Maps for Fast Chaotic Image Encryption

Electronics ◽  
2021 ◽  
Vol 10 (17) ◽  
pp. 2116
Author(s):  
Mustafa Kamil Khairullah ◽  
Ammar Ahmed Alkahtani ◽  
Mohd Zafri Bin Bin Baharuddin ◽  
Ammar Al-Jubari
Keyword(s):  
Image Encryption ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Logistic Map ◽  
Expansion Method ◽  
Absolute Error ◽  
Change Rate ◽  
Quadratic Map ◽  
Encryption Method ◽  
Higher Sensitivity

Chaotic maps that can provide highly secure key sequences and ease of structure implementation are predominant requirements in image encryption systems. One Dimensional (1D) chaotic maps have the advantage of a simple structure and can be easily implemented by software and hardware. However, key sequences produced by 1D chaotic maps are not adequately secure. Therefore, to improve the 1D chaotic maps sequence security, we propose two chaotic maps: 1D Improved Logistic Map (1D-ILM) and 1D Improved Quadratic Map (1D-IQM). The proposed maps have shown higher efficiency than existing maps in terms of Lyapunov exponent, complexity, wider chaotic range, and higher sensitivity. Additionally, we present an efficient and fast encryption method based on 1D-ILM and 1D-IQM to enhance image encryption system performance. This paper also introduces a key expansion method to reduce the number of chaotic map iteration needs, thereby decreasing encryption time. The security analyses and experimental results are confirmed that 2D Correlation Coefficient (CC) Information Entropy (IE), Number of Pixels Change Rate (NPCR), Unified Average Changing Intensity (UACI), Mean Absolute Error (MAE), and decryption quality are able to meet the encryption security demands (CC = −0.00139, IE = 7.9990, NPCR = 99.6114%, UACI = 33.46952% and MAE = 85.3473). Furthermore, the proposed keyspace reaches 10240, and the encryption time is 0.025s for an image with a size of 256 × 256. The proposed system can yield efficacious security results compared to obtained results from other encryption systems.

scholarly journals FPGA Design of Encryption Speech system using Synchronized Fixed-Point Chaotic Maps Based Stream Ciphers

2019 ◽  
Vol 8 (6) ◽  
pp. 1534-1541
Keyword(s):  
Fixed Point ◽  
Speech Signal ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Stream Ciphers ◽  
Fpga Design ◽  
System Generator ◽  
Speech Encryption ◽  
Original Speech ◽  
Small Period

In this work, speech encryption using synchronized fixed-point chaotic map-based stream ciphers (SFPCM-SC) is suggested. Five chaotic maps named quadratic, henon, logistic, lozi and duffing are synchronized by using master-slave synchronization technique and then used to generate the pseudo random bit generator (PRBG) using fixed-point converter. The PRBG is then Xor-ed with digitized speech signal where the encrypted signal is created. In the other side, the same map is synchronized with the master one and used to recover the original speech signal. First this work is simulated by using MATLAB and then built the design using Xilinx system generator (XSG). Finally, the hardware co-simulation is applied for the proposed system by using FPGA SP605 XC6SLX45T device. The results show that the error between master and slave become zero after a small period and the original speech signal is recovered with real time environment in successful.

Reducing the Dynamical Degradation by Bi-Coupling Digital Chaotic Maps

2018 ◽  
Vol 28 (05) ◽  
pp. 1850059 ◽  
Author(s):  
Lingfeng Liu ◽  
Bocheng Liu ◽  
Hanping Hu ◽  
Suoxia Miao
Keyword(s):  
Chaotic Maps ◽  
Chaotic Map ◽  
Coupled Model ◽  
The Other ◽  
Coupled Models ◽  
Digital Map ◽  
State Variable ◽  
Chebyshev Map ◽  
Chaotic Model ◽  
Dynamical Degradation

A chaotic map which is realized on a computer will suffer dynamical degradation. Here, a coupled chaotic model is proposed to reduce the dynamical degradation. In this model, the state variable of one digital chaotic map is used to control the parameter of the other digital map. This coupled model is universal and can be used for all chaotic maps. In this paper, two coupled models (one is coupled by two logistic maps, the other is coupled by Chebyshev map and Baker map) are performed, and the numerical experiments show that the performances of these two coupled chaotic maps are greatly improved. Furthermore, a simple pseudorandom bit generator (PRBG) based on coupled digital logistic maps is proposed as an application for our method.

Fractional Order Spatiotemporal Chaos with Delay in Spatial Nonlinear Coupling

2018 ◽  
Vol 28 (02) ◽  
pp. 1850020 ◽  
Author(s):  
Yingqian Zhang ◽  
Xingyuan Wang ◽  
Liyan Liu ◽  
Jia Liu
Keyword(s):  
Fractional Order ◽  
Chaotic Maps ◽  
Color Image ◽  
Chaotic Map ◽  
Logistic Map ◽  
Entropy Density ◽  
Spatiotemporal Chaos ◽  
Color Image Encryption ◽  
Spatial Coupling ◽  
Proposed Model

We investigate the spatiotemporal dynamics with fractional order differential logistic map with delay under nonlinear chaotic maps for spatial coupling connections. Here, the coupling methods between lattices are the nonlinear chaotic map coupling of lattices. The fractional order differential logistic map with delay breaks the limits of the range of parameter [Formula: see text] in the classical logistic map for chaotic states. The Kolmogorov–Sinai entropy density and universality, and bifurcation diagrams are employed to investigate the chaotic behaviors of the proposed model in this paper. The proposed model can also be applied for cryptography, which is verified in a color image encryption scheme in this paper.

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