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A Fast Generation Method of Variational Fractional Chaos Sequence

A technology of chaotic sequence and generation method, applied in the field of random signal source, which can solve the problems of increasing computing time and reducing encryption speed.

Active Publication Date: 2022-02-18
NEIJIANG NORMAL UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0009] x(0) and μ, v can be used as encrypted passwords, and the encrypted space is upgraded to three-dimensional, but the calculation of x(n+1) in each step requires the summation of x(0),...,x(n), Increased calculation time and reduced encryption speed

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  • A Fast Generation Method of Variational Fractional Chaos Sequence
  • A Fast Generation Method of Variational Fractional Chaos Sequence
  • A Fast Generation Method of Variational Fractional Chaos Sequence

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Embodiment Construction

[0033] In order to make the object, technical solution and advantages of the present invention clearer, the implementation manner of the present invention will be further described in detail below in conjunction with the accompanying drawings.

[0034] A fast generation method of variable fractional chaotic sequence, see figure 1 ,include:

[0035] S100: Construct a kind of variable fractional mapping model;

[0036] S200: Using the variable-like fractional mapping model to quickly obtain a chaotic sequence.

[0037] In this embodiment, the implementation steps of using the variable-like fractional mapping model to quickly obtain the chaotic sequence are as follows:

[0038] 1) Considering that the chaotic sequence to be generated is x(1),...,x(n), n is the sequence length, divide the sequence into m subsequences, each subsequence assumes its length is l, each subsegment sequence is specific for:

[0039] x(1),...,x(l),

[0040] x(l+1),...,x(2l),

[0041]

[0042] x((...

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Abstract

The invention discloses a method for quickly generating a variable fractional order chaotic sequence, comprising: constructing a class of variable fractional mapping model; using the variable fractional mapping model to rapidly obtain the chaotic sequence. Focusing on the core issues of speed and security, the present invention constructs a variable fractional mapping model, which can be used to quickly obtain chaotic sequences. Variable fractional parameters increase the complexity of chaotic sequences, which can be used as encryption algorithms key. Thereby, the fast information encryption method of subdivision and large batch becomes possible. It can also provide random sequences for applications such as fractional complex network control, image watermarking, cloud computing, and secure storage of big data.

Description

technical field [0001] The invention belongs to the technical field of random signal sources, and in particular relates to a method for rapidly generating variable fractional chaotic sequences. Background technique [0002] Chaotic cryptography is an important research method for information encryption. Modern data presents the characteristics of high dimensionality and large amount of data. Speed ​​and security become the contradictions that restrict the development of future information encryption technology, and the speed of information encryption mainly depends on the time-consuming calculation of chaotic sequences: classic mapping (such as logistic mapping, standard mapping, etc.) It can quickly generate chaotic sequences, but the encryption security is not high. For example, logistic mapping is often used in chaotic encryption, and the form is as follows [0003] x(n+1)=μx(n)(1-x(n)),x(0)=x 0 [0004] x(0) and μ can be used as encrypted passwords, and the encrypted ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 吴国成
Owner NEIJIANG NORMAL UNIV