Abstract
In this article, an image encryption algorithm via bisection method and one-dimensional piecewise chaotic map is proposed. It depends on the permutation-substitution model. Firstly, the pseudo-random sequence is defined using polynomial values at selected points by repeat interval of the bisection method. The plain image is shuffled using this sequence. Bit-wise XOR operation with a mask generated from the Tent chaotic map is applied on shuffled image to increase the protection of the proposed algorithm. Various types of images are tested using the proposed algorithm. The effectiveness of this algorithm is measured using several statistical tests and compared to a set of other algorithms to verify the security and performance of the algorithm. Furthermore, experimental results and Numerical simulations are performed to verify their ability to resist various attacks.
Highlights
Maintaining the confidentiality of information is a major challenge with the advancement of technology and the spread of its use to preserve, store and transfer a lot of sensitive and valuable information in all areas of life
The authors in [11] designed an encryption scheme that depended on a new 2D chaotic system which is extracted from two 1D chaotic maps. [12] used two-dimensional chaotic economic map and logistic map to design a new image encryption algorithm
In this paper, a new cryptographic algorithm based on non-chaotic random sequence generated by bisection method and chaotic random sequence generated by the Tent chaotic map has been proposed
Summary
Maintaining the confidentiality of information is a major challenge with the advancement of technology and the spread of its use to preserve, store and transfer a lot of sensitive and valuable information in all areas of life. In [3] and [4] authors presented an image encryption algorithm based on one-dimensional chaotic economic maps. The authors in [11] designed an encryption scheme that depended on a new 2D chaotic system which is extracted from two 1D chaotic maps. [12] used two-dimensional chaotic economic map and logistic map to design a new image encryption algorithm. A new image encryption algorithm based on 6D hyper chaotic map, image hashing and dynamic DNA coding was presented in [17]. The proposed encryption algorithm is based on 1D chaotic Tent map to change pixel values of image because it is simple to implement than other high-dimensional chaotic maps and it ıs achieved by the general useful properties of chaotic maps.
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