Coupling chaotic system and application thereof

Abstract

The invention discloses a coupling chaotic system and application thereof, and belongs to the field of information security, the system state variable Xk+1 of the system in the (k+1)th iteration is Xk+1=Qk *(f(Xk)[delta]k)mod 1, wherein f () is a function column formed by mapping functions of one or more discrete chaotic systems, Qk is equal to diag(Vk), X and V are n-dimensional vectors and respectively represent a system state variable and a system parameter of the coupled chaotic system, the subscript represents the number of iterations, [delta]k is an n-dimensional coupling term constructed based on a system state variable in the kth iteration, and 'mod 1' represents decimal taking operation; furthermore, the coupling term is dynamically changed along with the number of iterations, and information of a time-delay state variable is carried in the coupling term; and the system parameters are time-varying parameters. According to the method, the implementation difficulty and the resource overhead are effectively reduced while the security requirement of cryptography is met, and the system security is further improved by implementing a hyperchaotic digital system with variable structure, variable parameters and variable time delay.

Description

technical field [0001] The invention belongs to the field of information security, and more specifically relates to a coupled chaotic system and its application. Background technique [0002] Chaotic cryptography is a new type of cryptography. Typical characteristics of chaotic systems such as sensitivity to initial conditions, quasi-random behavior, topological transfer and mixing properties have a good correspondence with the characteristics of encryption systems. For example, the sensitivity of chaos to parameters corresponds to the sensitivity of encryption systems to keys. Sensitivity, the topological transfer and mixing characteristics of chaos correspond to the diffusion and confusion characteristics of encryption, so chaotic systems are very suitable for encryption. [0003] The security of chaotic ciphers mainly depends on the chaotic system used, and the chaotic system used in practical encryption applications can be divided into continuous and discrete, high-dime...

AI Technical Summary

Problems solved by technology

High-dimensional chaotic systems have good chaotic performance. When applied in cryptography, they can better meet the security requirements. However, most high-dimensional chaotic systems are continuous-time systems, which increase the difficulty and difficulty of system implementation in practical applications. resource overhead

[0004] The low-dimensional discrete chaotic mapping system has the advantages of simple structure, easy implementation of software and hardware, and fast operation speed, but it also has problems such as small parameter range, few state variables, and simple structure, which makes the low-dimensional discrete chaotic mapping system used in cryptography It is vulnerable to cryptographic attacks such as phase space reconstruction, parameter attacks, statistical attacks, etc., and there are great security risks

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