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Method of chaos cipher based on precision complement

A technology of chaotic cryptography and precision compensation, which is applied in the field of information security, can solve problems such as characteristic degradation, and achieve the effects of extended cycle and good cryptographic properties

Inactive Publication Date: 2008-11-12
HUAZHONG UNIV OF SCI & TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0006] The purpose of the present invention is to overcome the above-mentioned disadvantages and provide a method of chaotic cipher based on precision compensation, which effectively solves the above-mentioned characteristic degradation problem without increasing the calculation precision

Method used

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  • Method of chaos cipher based on precision complement
  • Method of chaos cipher based on precision complement
  • Method of chaos cipher based on precision complement

Examples

Experimental program
Comparison scheme
Effect test

example 1

[0039] In this example, a cryptographic system is designed by using one-dimensional chaotic map, and the operation precision is 16 bits. The set of compensation parameters determined according to the properties and calculation precision of chaotic map f(x) is: U={k[0]=0.5, k [1]=0.65, k[2]=0.7, k[3]=0.75, k[4]=0.8, k[5]=0.85, k[6]=1.0, k[7]=1.1, k[ 8]=1.25, k[9]=1.4, k[10]=1.45, k[11]=1.55, k[12]=1.6, k[13]=1.7, k[14]=1.75, k[15] ]=1.8, k[16]=1.85, k[17]=1.9, k[18]=1.95, k[19]=-0.55, k[20]=-0.6, k[21]=-0.65, k [22]=-0.75, k[23]=-0.8, k[24]=-0.85, k[25]=-0.9, k[26]=-0.95, k[27]=-1.1, k[28 ]=-1.15, k[29]=-1.25, k[30]=-1.4, k[31]=-1.45, k[32]=-1.5, k[33]=-1.55, k[34]= -1.6, k[35]=-1.7, k[36]=-1.75, k[37]=-1.8, k[38]=-1.85, k[39]=-1.9}. In this embodiment, the compensation parameters are selected according to the sequence, therefore, the formula (4) can be specifically written as the following form:

[0040] x ~ ...

example 2

[0051] In this example, a cryptographic system is designed by using one-dimensional chaotic map, and the operation precision is 16 bits. The set of compensation parameters determined according to the properties and calculation precision of chaotic map f(x) is: U={k[0]=0.5, k [1]=0.65, k[2]=0.7, k[3]=0.75, k[4]=0.8, k[5]=0.85, k[6]=1.0, k[7]=1.1, k[ 8]=1.25, k[9]=1.4, k[10]=1.45, k[11]=1.55, k[12]=1.6, k[13]=1.7, k[14]=1.75, k[15] ]=1.8, k[16]=1.85, k[17]=1.9, k[18]=1.95, k[19]=-0.55, k[20]=-0.6, k[21]=-0.65, k [22]=-0.75, k[23]=-0.8, k[24]=-0.85, k[25]=-0.9, k[26]=-0.95, k[27]=-1.1, k[28 ]=-1.15, k[29]=-1.25, k[30]=-1.4, k[31]=-1.45, k[32]=-1.5, k[33]=-1.55, k[34]= -1.6, k[35]=-1.7, k[36]=-1.75, k[37]=-1.8, k[38]=-1.85, k[39]=-1.9}. Randomly select the compensation parameter from the compensation parameter set U, and use it to compensate the i-th iteration of the chaotic map f(x). Therefore, formula (4) can be specifically written as the following form:

[0052] ...

example 3

[0063] In this example a 30-dimensional chaotic map is used

[0064] x 1 , i + 1 x 2 , i + 1 x 3 , i + 1 · · · x ...

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Abstract

This invention discloses a chaos code method based on accuracy complementation. This method can increase the cycles of the sequence without increasing the accuracy, avoid the appearance of zero-distribution interval of chaos sequence, and make the chaos sequence have fine character. Use the low-dimension chaos power system based on accuracy complementation to carry out iteration computation, the complementary parameter is chosen at random or according to the distribution rule of the corresponding cycle ring the phase space, increase the sequence cycle, avoid the appearance of zero-distribution interval of chaos sequence, and improve the chaos sequence character of the number.

Description

technical field [0001] The invention belongs to the cryptographic technology in the field of information security, and is a chaotic cryptographic sequence with excellent properties generated by using electronic computer technology, information coding technology and a chaotic system under the condition of limited precision and adopting a precision compensation method. Background technique [0002] With the continuous improvement of computer computing speed and the development of distributed processing technology, some original encryption algorithms have been cracked. At present, most of the encryption algorithms used in China are low-strength encryption algorithms that will be eliminated abroad. The resulting insecurity has become an important issue that hinders economic development and threatens national security. [0003] In recent years, chaos has begun to be applied in the field of secure communication. Chaos is an external complex manifestation caused by internal random...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/28
Inventor 胡汉平吴晓刚王祖喜曾江卫许娅周麟刘双红
Owner HUAZHONG UNIV OF SCI & TECH
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