A Novel Image Encryption Scheme Based on Reversible Cellular Automata

In this paper, a new scheme for image encryption is presented by reversible cellular automata. The presented scheme is applied in three individual steps. Firstly, the image is blocked and the pixels are substituted by a reversible cellular automaton. Then, image pixels are scrambled by an elementary cellular automata and finally the blocks are attached and pixels are substituted by an individual reversible cellular automaton. Due to reversibility of used cellular automata, decryption scheme can reversely be applied. The experimental results show that encrypted image is suitable visually and this scheme has satisfied quantitative performance

Reducing Multi-Secret Sharing Problem to Sharing a Single Secret Based on Cellular Automata

The aim of a secret sharing scheme is to share a secret among a group of participants in such a way that while authorized subsets of participants are able to recover the secret, non-authorized subsets of them obtain no information about it. Multi-secret sharing is the natural generalization of secret sharing for situations in which the simultaneous protection of more than one secret is required. However, there exist some secret sharing schemes for which there are no secure or efficient multi-secret sharing counterparts. In this paper, using cellular automata, an efficient general method is proposed to reduce the problem of sharing k secrets (all assigned with the same access structure and needed to be reconstructed at once) under a certain secret sharing scheme (S), to the problem of sharing one secret under S such that none of the properties of S are violated. Using the proposed approach, any secret sharing scheme can be converted to a multi-secret sharing scheme. We provide examples to show the applicability of the proposed approach

Visual secret sharing and related Works -A Review

The accelerated development of network technology and internet applications has increased the significance of protecting digital data and images from unauthorized access and manipulation. The secret image-sharing network (SIS) is a crucial technique used to protect private digital photos from illegal editing and copying. SIS can be classified into two types: single-secret sharing (SSS) and multi-secret sharing (MSS). In SSS, a single secret image is divided into multiple shares, while in MSS, multiple secret images are divided into multiple shares. Both SSS and MSS ensure that the original secret images cannot be reconstructed without the correct combination of shares. Therefore, several secret image-sharing methods have been developed depending on these two methods for example visual cryptography, steganography, discrete wavelet transform, watermarking, and threshold. All of these techniques are capable of randomly dividing the secret image into a large number of shares, each of which cannot provide any information to the intrusion team.  This study examined various visual secret-sharing schemes as unique examples of participant secret-sharing methods. Several structures that generalize and enhance VSS were also discussed in this study on covert image-sharing protocols and also this research also gives a comparative analysis of several methods based on various attributes in order to better concentrate on the future directions of the secret image. Generally speaking, the image quality generated employing developed methodologies is preferable to the image quality achieved through using the traditional visual secret-sharing methodology

Chaotic Behaviors of Symbolic Dynamics about Rule 58 in Cellular Automata

The complex dynamical behaviors of rule 58 in cellular automata are investigated from the viewpoint of symbolic dynamics. The rule is Bernoulli στ-shift rule, which is members of Wolfram’s class II, and it was said to be simple as periodic before. It is worthwhile to study dynamical behaviors of rule 58 and whether it possesses chaotic attractors or not. It is shown that there exist two Bernoulli-measure attractors of rule 58. The dynamical properties of topological entropy and topological mixing of rule 58 are exploited on these two subsystems. According to corresponding strongly connected graph of transition matrices of determinative block systems, we divide determinative block systems into two subsets. In addition, it is shown that rule 58 possesses rich and complicated dynamical behaviors in the space of bi-infinite sequences. Furthermore, we prove that four rules of global equivalence class ε43 of CA are topologically conjugate. We use diagrams to explain the attractors of rule 58, where characteristic function is used to describe that some points fall into Bernoulli-shift map after several times iterations, and we find that these attractors are not global attractors. The Lameray diagram is used to show clearly the iterative process of an attractor

Designing Robust LMCA-based Threshold Secret Sharing Scheme for Digital Images Using Multiple Configurations Assignment

In this paper, we present a new (t,n)-threshold secret images sharing scheme based on linear memory cellular automata (LMCA). While all existing LMCA-based sharing scheme are not robust, the proposed one provides full robustness property. Precisely, any subset of t participants can collude to recover the shared secret, in contrast to existing LMCA-based schemes when this is possible only for participants having consecutive shares. To achieve robustness, produced shares are constructed using subsets of different LMCA’s configurations instead of using single ones. The subsets are defined according to an assignments matrix that is generated using a specific heuristic. The proposed scheme is shown to be robust, and its security is experimentally evaluated with respect to the problem of secret color image sharing. Obtained results illustrate the secrecy of the produced shares, while comparison gives an accurate evaluation with respect to existing schemes

Cellular Automata

Modelling and simulation are disciplines of major importance for science and engineering. There is no science without models, and simulation has nowadays become a very useful tool, sometimes unavoidable, for development of both science and engineering. The main attractive feature of cellular automata is that, in spite of their conceptual simplicity which allows an easiness of implementation for computer simulation, as a detailed and complete mathematical analysis in principle, they are able to exhibit a wide variety of amazingly complex behaviour. This feature of cellular automata has attracted the researchers' attention from a wide variety of divergent fields of the exact disciplines of science and engineering, but also of the social sciences, and sometimes beyond. The collective complex behaviour of numerous systems, which emerge from the interaction of a multitude of simple individuals, is being conveniently modelled and simulated with cellular automata for very different purposes. In this book, a number of innovative applications of cellular automata models in the fields of Quantum Computing, Materials Science, Cryptography and Coding, and Robotics and Image Processing are presented