Research On Color Image Encryption Scheme Based On Modified One-Dimensional Chaotic Maps

In the past few decades,the development of digital image processing and network communication has attracted attention.Their direct impact is to increase the requirements for real-time and secure image transmission on the Internet and wireless networks.Therefore,in order to cope with this challenge,cryptographers have proposed various image encryption schemes.Among them,chaos-based image encryption algorithms have achieved particularly remarkable achievements.This is because such encryption algorithms have shown excellent performance in terms of security,complexity,speed,computing power and computational cost.In addition,chaos-based encryption technology can quickly scramble and diffuse image data,which is in line with the standards of traditional cryptographic methods.This paper chooses simple one-dimensional chaotic maps to design the encryption schemes.Although one-dimensional chaotic maps have the advantages of being easy to operate and implement,they also have the disadvantages of small key space and discontinuous chaos intervals.The specific research content of this article is arranged as follows:First of all,this paper introduces the research significance of image encryption algorithm and the origin of the design of encryption scheme using chaos.Moreover,the advantages and disadvantages of one-dimensional chaotic maps and multi-dimensional chaotic maps are further explained.The development status of chaotic encryption technology at home and abroad has also been expounded.In particular,cryptographers have made efforts and contributions in applying improved one-dimensional chaotic maps to encrypt images.In addition,the introduction of chaos theory and its application in cryptography are given.Secondly,this paper proposes modified one-dimensional chaotic maps after introducing a few classical one-dimensional chaotic maps.Their chaotic intervals have not only been expanded,but their chaotic properties have also been improved.This makes the scheme more secure when the one-dimensional chaotic maps are applied as the keys to image encryption.Then,this paper applies the modified one-dimensional chaotic maps to design a chaotic color image encryption scheme based on desoxyribonucleic acid(DNA)coding calculations and arithmetic over the Galois field GF(17).The scheme applies plain images to update the generated chaotic sequences to further determine the mode of DNA operations,which ensures that different DNA calculation methods are applied for each encryption.In order to improve the security of the cryptosystem,the scheme also adds the multiplication of the Galois field.Through simulation analysis,it can be found that the algorithm has the ability to resist various attacks.Finally,this paper uses the proposed one-dimensional chaotic map to design another Rubik's cube color image encryption scheme based on chaos and hyperchaos.This scheme recommends a four-dimensional hyperchaotic system with hyperchaotic properties.It is combined with the modified one-dimensional chaotic map to generate the keys,which makes the randomness of the key stream better.Not only that,the scheme mimics the Rubik's cube principle to make the images rotate and shift rapidly at the pixel-level and the bit-level,which makes the encryption effect better.