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Method for generating chaos sequence

A chaotic sequence and generation method technology, applied in digital transmission systems, complex mathematical operations, security communication devices, etc., can solve problems such as digital chaos degradation problems that cannot be solved well, and achieve the effect of solving degradation problems and output distribution uniformly

Inactive Publication Date: 2008-12-24
CHANGSHU NANJING NORMAL UNIV DEV RES INST
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Problems solved by technology

[0010] The present invention mainly solves the technical problems existing in the prior art that no matter how high the word length is, the precision is still limited, and there are a large number of short quasi-chaotic orbits, and the degradation problem of digital chaos cannot be solved well; it provides A chaotic sequence generation method with few or no short quasi-chaotic orbits, which can well solve the degradation problem of digital chaos

Method used

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  • Method for generating chaos sequence
  • Method for generating chaos sequence
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Embodiment

[0054] Such as figure 1 Shown: chaotic sequence generation method, based on Logistic mapping, is characterized in that, comprises the following steps:

[0055] Step 1, respectively set a disturbance parameter generator and a chaotic sequence generator, the chaotic sequence generator is the Logistic map x n+1 =b m x n (1-x n ), where x n is the feedback input value of the chaotic sequence generator, b m is the chaotic sequence control parameter of the chaotic sequence generator, x n+1 is the output value of the chaotic sequence; the disturbance parameter generator is the Logistic map x′ n+1 = b'x' n (1-x′ n ), where x′ nis the feedback input value of the disturbance parameter generator, b' is the disturbance control parameter of the disturbance parameter generator, x' n+1 is the disturbance output value, the above n and m are both positive integers;

[0056] Step 2, respectively set the chaotic initial key as (x 0 , b 0 ), and perturb the initial key (x′ 0 , b′), ...

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Abstract

The invention relates to a sequence generating method, in particular to a chaotic sequence generating method. A double Logistic mapping coupled structure is adopted, wherein one mapping is used as an excitation parameter generator, and the other mapping is used a chaotic sequence generator. Excitation parameters generated through the excitation parameter generator are utilized to update control parameters of the chaotic sequence generator, thereby enabling the track of the chaotic sequence generator for outputting sequences to conduct continuous transition on a chaotic mapping ensemble, so as to reach the purposes of prolonging the output track of the chaotic sequence and strengthening the uniform distribution of the output sequence, prevent a chaotic system from entering a short period track and resulting in the influence on the safety of chaotic password, and promote the real application of chaotic password.

Description

technical field [0001] The invention relates to a sequence generation method, in particular to a chaotic sequence generation method. Background technique [0002] The ergodicity, mixing, determinism and sensitivity to initial conditions of chaos make it related to the concepts of confusion and diffusion in traditional cryptography theory, so this inevitable connection between chaos theory and pure cryptography forms chaos Cryptography. Since the 1980s, there have been many different types of chaotic cryptosystems that use chaotic maps to generate chaotic sequences, M.S.Baptista.Cryptography with chaos.Phys.Lett.A.1998, 240(1- 2); W.-K.Wong.A modified chaotic cryptographic method.Comput.Phys.Commun, 2001, 138(3); Hu Hanping. A chaotic key stream generation method. Journal of Computer Science, 2004 Vol.27 No .3; Jun Wei.A new chaoticcryptosyste m.Chaos Solitons and Fractals.2006 Vol.30 No.3; Zhou Hong et al. Realization of m-sequence perturbations for finite precision chaoti...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00G06F17/10
Inventor 刘树波徐正全孙婧
Owner CHANGSHU NANJING NORMAL UNIV DEV RES INST
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