CIPHER SYSTEMS BASED ON CONTROLLED EXACT CHAOTIC MAPS

2010 ◽  
Vol 20 (12) ◽  
pp. 4039-4053 ◽  
Author(s):  
ALI KANSO
Keyword(s):  
Time Series ◽  
Cycle Length ◽  
Chaotic Maps ◽  
Necessary Conditions ◽  
Logistic Map ◽  
Security Level ◽  
Encryption Scheme ◽  
Key Space ◽  
Suggested Technique ◽  
High Level

In this paper, we present a class of chaotic clock-controlled cipher systems based on two exact chaotic maps, where each map is capable of generating exact chaotic time series of the logistic map. This class is designed in such a way that one map controls the iterations of the second map. The suggested technique results in generating orbits possessing long cycle length and high level of security from the two periodic exact maps. In the first part of this paper, two keystream generators based on two exact chaotic logistic maps are suggested for use in cryptographic applications. The necessary conditions to generate orbits with guaranteed long enough cycle length are established. Furthermore, the generated keystreams are demonstrated to possess excellent randomness properties. In the second part, we suggest a clock-controlled encryption scheme related to Baptista's scheme and based on two exact chaotic logistic maps. This technique results in increasing the size of the key space, and hence may increase the security level against some existing cryptanalytic attacks. Furthermore, it leads to reducing the size of the ciphertext file and propably increasing the encryption speed.

Some Polynomial Chaotic Maps Without Equilibria and an Application to Image Encryption with Avalanche Effects

2015 ◽  
Vol 25 (09) ◽  
pp. 1550124 ◽  
Author(s):  
Lequan Min ◽  
Xiuping Yang ◽  
Guanrong Chen ◽  
Danling Wang
Keyword(s):  
Numerical Simulation ◽  
Image Encryption ◽  
Chaos Synchronization ◽  
Chaotic Dynamics ◽  
Chaotic Maps ◽  
Test Suite ◽  
Pseudorandom Number Generator ◽  
Encryption Scheme ◽  
Number Generator ◽  
Key Space

This study uses seven four-dimensional four-variable polynomial chaotic maps without equilibria in combination with generalized chaos synchronization (GCS) theorem to construct eight-dimensional bidirectional discrete generalized chaos synchronization (8DBDGCS) systems without equilibria. By combining the 8DBDGCS system with the GCS theorem, a 12-dimensional GCS system is designed. Numerical simulation verifies the chaotic dynamics of the 12-dimensional GCS system, which is used to design a 216-word chaotic pseudorandom number generator (CPRNG). The SP-8002 test suite is used to test the randomness of four 100-key streams consisting of 1 000 000 bits generated respectively by the CPRNG, a six-dimensional GCS-based CPRNG, the RC4 algorithm and the ZUC algorithm. The results show that the randomness performances of the two CPRNGs are promising, suggesting that there are no significant correlations between the key stream and the perturbed key streams generated via the 216-word CPRNG. In addition, theoretically the key space of the CPRNG is larger than 21195. The CPRNG is used with an avalanche-encryption scheme to encrypt an RGB balloon image, demonstrating that the CPRNG is able to generate the avalanche effects which are similar to those generated via ideal 216-word CPRNGs.

A novel encryption scheme for colored image based on high level chaotic maps

2015 ◽  
Vol 76 (1) ◽  
pp. 607-629 ◽  
Author(s):  
Majid Mollaeefar ◽  
Amir Sharif ◽  
Mahboubeh Nazari
Keyword(s):  
Chaotic Maps ◽  
Encryption Scheme ◽  
High Level

scholarly journals A Tweak-Cube Color Image Encryption Scheme Jointly Manipulated by Chaos and Hyper-Chaos

2019 ◽  
Vol 9 (22) ◽  
pp. 4854
Author(s):  
Li-Lian Huang ◽  
Shi-Ming Wang ◽  
Jian-Hong Xiang
Keyword(s):  
Image Encryption ◽  
Chaotic Maps ◽  
Complex Dynamics ◽  
Color Image ◽  
Chaotic Map ◽  
Original Position ◽  
Hyperchaotic System ◽  
Encryption Scheme ◽  
Color Image Encryption ◽  
Key Space

This paper proposes a novel tweak-cube color image encryption scheme jointly manipulated by chaos and hyper-chaos. One-dimensional (1D) chaotic maps are effortless to operate, but the key space is relatively small. The hyperchaotic system has complex dynamics properties, which are capable of compensating for the defects of 1D chaotic maps. Thus, we first raise an improved 1D chaotic map with an increased key space. Then, we associate it with a four-dimensional (4D) hyperchaotic system to generate the key streams and further rotate and shift the rows and columns of each component of Red (R), Green (G), and Blue (B) for the color image. The permuting mode is to disturb the original position of the pixels by mimicking the way of twisting the Rubik’s cube. Moreover, the key stream updated by the plain images is also utilized for diffusion and scramble at the bit level. As a consequence, our cryptosystem enhances the security without at the expense of increasing time cost.

scholarly journals A Novel Encryption Scheme for Digital Image - Based on One Dimensional Logistic Map

2014 ◽  
Vol 7 (4) ◽  
pp. 65 ◽  
Author(s):  
Obaida M. Al-hazaimeh
Keyword(s):  
Image Encryption ◽  
Digital Image ◽  
Chaotic Map ◽  
Logistic Map ◽  
Encryption Scheme ◽  
Table Lookup ◽  
One Dimensional ◽  
The Difference ◽  
Digital Image Encryption ◽  
High Level

In this paper, an implementation of digital image encryption scheme based on one dimensional logistic map is proposed. The chaotic cryptography technique concentrates in general on the symmetric key cryptographic technique. In the proposed algorithm, a random key table lookup criterion was combined with a one-dimensional chaotic map were used for high degree 2-stage security image encryption while maintaining acceptable overhead delay time. The proposed algorithm is based on image row shuffling and pixel-wise XOR encryption. To increase the security of row shuffling variable rotation and inversion were applied to each shuffled row, based on the difference between old and new row location. The experimental results showed that the proposed algorithm is effective and applicable. The combination of logistic map and key table lookup shows advantages of large random key space and high-level of security. The resulting cipher image is suitable for practical use in secure image storing and transmission.

ALGORITHM FOR EXACT LONG TIME CHAOTIC SERIES AND ITS APPLICATION TO CRYPTOSYSTEMS

2004 ◽  
Vol 14 (10) ◽  
pp. 3607-3611 ◽  
Author(s):  
SHUNJI KAWAMOTO ◽  
TAKESHI HORIUCHI
Keyword(s):  
Time Series ◽  
Logistic Map ◽  
Rational Numbers ◽  
Prime Numbers ◽  
Chaotic Time Series ◽  
High Dependency ◽  
Key Space ◽  
Long Time ◽  
Computer Environment ◽  
Numerical Generation

It is said that the numerical generation of exact chaotic time series by iterating, for example, the logistic map, will be impossible, because chaos has a high dependency on initial values. In this letter, an algorithm to generate them without the accumulation of inevitable round-off errors caused by the iteration is proposed, where rational numbers are introduced. Also, it is shown that the period of the chaotic time series depends on the rational numbers including large prime numbers, which are fundamentally related to the Mersenne and the Fermat prime ones. Since the time series are numerically regenerated by the proposed algorithm in an usual computer environment, it could be applied to cryptosystems which do not need the synchronization, and have a large key-space by using large prime numbers.

A Novel Image Encryption Algorithm Based on Cellular Automata and Chaotic System

2014 ◽  
Vol 998-999 ◽  
pp. 797-801
Author(s):  
Peng Cheng ◽  
Huai Xun Zhao
Keyword(s):  
Cellular Automata ◽  
Image Encryption ◽  
Chaotic Maps ◽  
Logistic Map ◽  
Security Level ◽  
Differential Attack ◽  
Diffusion Stage ◽  
Plain Image ◽  
High Security Level ◽  
Image Encryption Algorithm

This paper introduces a novel image encryption scheme based on chaotic maps and toggle cellular automata (TCA). In confusion stage, the proposed scheme utilizes logistic map to construct a nonlinear sequence for scrambling the plain-image. Then in diffusion stage, TCA is constructed by setting up the inversion rule and the image which has been processed by chaotic sequence is encryption again by using the TCA iteration method. Theoretical analysis and experimental results demonstrate the proposed algorithm achieves a high security level and processes good performance against common attacks like differential attack and statistical attack.

A NEW COLOR IMAGE ENCRYPTION BASED ON HIGH-DIMENSIONAL CHAOTIC SYSTEMS

2014 ◽  
Vol 28 (07) ◽  
pp. 1450024 ◽  
Author(s):  
PI LI ◽  
XING-YUAN WANG ◽  
HONG-JING FU ◽  
DA-HAI XU ◽  
XIU-KUN WANG
Keyword(s):  
Time Series ◽  
Chaotic Systems ◽  
Lorenz System ◽  
Color Image ◽  
High Dimensional ◽  
Encryption Scheme ◽  
Color Image Encryption ◽  
System Variable ◽  
Key Space ◽  
Low Dimensional

The high-dimensional chaotic systems (HDCS) have a lot of advantages as more multifarious mechanism, greater the key space, more ruleless for the time series of the system variable than with the low-dimensional chaotic systems (LDCS), etc. Thus, a novel encryption scheme using Lorenz system is suggested. Moreover, we use substitution–diffusion architecture to advance the security of the scheme. The theoretical and experimental results show that the suggested cryptosystem has higher security.

scholarly journals CHAOTIC CRYPTOGRAPHIC SCHEME BASED ON COMPOSITION MAPS

2008 ◽  
Vol 18 (01) ◽  
pp. 251-261 ◽  
Author(s):  
SOHRAB BEHNIA ◽  
AFSHIN AKHSHANI ◽  
HADI MAHMODI ◽  
AMIR AKHAVAN
Keyword(s):  
Invariant Measure ◽  
Diffusion Process ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Control Parameters ◽  
Chaotic Region ◽  
Key Space ◽  
Image Pixels ◽  
High Level ◽  
Cryptographic Scheme

In recent years, a growing number of cryptosystems based on chaos have been proposed. But most of them have encountered many problems such as small key space and weak security. In the present paper, a new kind of chaotic cryptosystem based on Composition of Trigonometric Chaotic Maps is proposed. These maps which are defined as ratios of polynomials of degree N, have interesting properties such as invariant measure, ergodicity, variable chaotic region with respect to the control parameters and ability to construct composition form of maps. We have used a composition of chaotic map to shuffle the position of image pixels. Another composition of chaotic map is used in diffusion process. According to the performed analysis, the introduced algorithm can satisfy the required performances such as high level security, large key space and the acceptable encryption speed.

scholarly journals Biometric Image Security Using Chaos Algorithm

Cryptography ◽  
2020 ◽  
pp. 39-47
Author(s):  
Sugandha Agarwal ◽  
O.P. Singh ◽  
Deepak Nagaria
Keyword(s):  
Image Encryption ◽  
Initial Conditions ◽  
Logistic Map ◽  
Advanced Technology ◽  
Encryption Scheme ◽  
Secret Key ◽  
Biometric Encryption ◽  
Chaos Algorithm ◽  
High Level ◽  
Time Image

In this world of Advanced Technology, the Biometrics are proved to be a significant method for user identification. However, the use of biometric is not new, but these days, with the increase in multimedia applications, it has gained its popularity in analysing human characteristics for security purposes. Biometric Encryption using Chaos Algorithm is a technique used to make it more convenient to the user and to provide high level security. The most prominent physical biometric patterns investigated for security purposes are the fingerprint, hand, eye, face, and voice. In the proposed image encryption scheme, an external secret key of 160-bit is used. The initial conditions for the logistic map are derived using the external secret key. The results obtained through experimental analysis provide an efficient and secure way for real-time image encryption and transmission.

High-Level Implementation of a Chaotic and AES Based Crypto-System

2017 ◽  
Vol 26 (07) ◽  
pp. 1750122 ◽  
Author(s):  
Fatma Sbiaa ◽  
Sonia Kotel ◽  
Medien Zeghid ◽  
Rached Tourki ◽  
Mohsen Machhout ◽  
...  
Keyword(s):  
Electronic System ◽  
Performance Criteria ◽  
System Level ◽  
Security Level ◽  
Sensitive Data ◽  
Aes Algorithm ◽  
Simulation Speed ◽  
Key Space ◽  
High Security Level ◽  
High Level

Given the increasing complexity of cryptographic devices, testing their security level against existing attacks requires a fast simulation environment. SystemC is a standard language that is widely used for the modeling and the verification of complex systems. It is a promising candidate in Electronic System Level (ESL) which allows models to reach higher simulation speed. Accordingly, the Advanced Encryption Standard (AES) is one of the most known block ciphers. It is widely used in various applications in order to secure the sensitive data. It is considered to be secure. Still, some issues lie in the used key and the S-Box. This paper presents a SystemC implementation of a chaos-based crypto-processor for the AES algorithm. The design of the proposed architecture is studied using the SystemC tools. The proposed correction approach exploits the chaos theory properties to cope with the defaulting parameters of the AES algorithm. Detailed experimental results are given in order to evaluate the security level and the performance criteria. In fact, the proposed crypto-system presents numerous interesting features, including a high security level, a pixel distributing uniformity, a sufficiently large key-space with improved key sensitivity, and an acceptable speed.

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