Pseudo-random sequence generator construction method based on non-degenerate hyperchaotic system

A pseudo-random sequence and construction method technology, applied in the field of pseudo-random sequence generator construction, can solve the problems of high difficulty in cracking nonlinear characteristics and degradation of dynamic characteristics of chaotic systems, and achieve simple and fast construction, increase cycle length, and crack difficulty high effect

Pending Publication Date: 2022-06-07
HEILONGJIANG UNIV
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Problems solved by technology

[0003] Based on the above deficiencies, the present invention proposes a method for constructing a pseudo-random sequence generator based on non-degenerate hyperchaotic systems, which solves the problem

Method used

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  • Pseudo-random sequence generator construction method based on non-degenerate hyperchaotic system
  • Pseudo-random sequence generator construction method based on non-degenerate hyperchaotic system
  • Pseudo-random sequence generator construction method based on non-degenerate hyperchaotic system

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Embodiment 1

[0035] like figure 1 As shown, a pseudo-random sequence generator construction method based on a non-degenerate hyperchaotic system is as follows:

[0036] First generate a 6×6 initialization matrix G. The matrix G is as follows:

[0037]

[0038] Next, the matrix G is decomposed into G=U by the SVD method υ S υ V υ . After that, construct a 6×6 diagonal matrix S c for

[0039]

[0040] Diagonal matrix S c The positive Li's exponent value of the 6-dimensional nondegenerate hyperchaotic system is determined. Next, the coefficient matrix A is calculated as

[0041]

[0042] Based on the coefficient matrix A, the 6-dimensional nondegenerate hyperchaotic system can be constructed as

[0043]

[0044] in the formula and The six Lee exponents of this chaotic system are LE 1 =2.7081,LE 2 =2.6391,LE 3 =2.5649,LE 4 =2.4849,LE 5 =2.3979,LE 6= 2.3026. The phase diagram of a six-dimensional nondegenerate hyperchaotic system is shown in figure 2 It can be...

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Abstract

The invention relates to a pseudo-random sequence generator construction method based on a non-degenerate hyperchaotic system, solves the problem of dynamic characteristic degradation of a chaotic system, and can simply and quickly construct the non-degenerate hyperchaotic system. The method comprises the following steps: firstly, constructing an initialization matrix G and a diagonal matrix Sc, decomposing the matrix G through singular value decomposition to generate a coefficient matrix A, further constructing an m-dimensional non-degenerate hyperchaotic system Chaos1, carrying out iterative operation, judging whether the number of iterations reaches Len = 108 or not, if not, carrying out binary quantization processing on an output chaotic sequence, and if yes, carrying out binary quantization processing on the output chaotic sequence; sequentially connecting the m-dimensional quantized binary sequences in series to form a final output pseudo-random binary sequence; and if yes, continuing iteration for multiple times by adopting the m-dimensional non-degenerate hyperchaotic system Chaos1, reconstructing a new initialization matrix G and a diagonal matrix Sc by utilizing corresponding iteration values, then further constructing a new non-degenerate hyperchaotic system Chaos2, continuously constructing a new non-degenerate hyperchaotic system based on the method, and outputting a quantized chaotic pseudo-random binary sequence. The method has the advantages of being high in nonlinear characteristic cracking difficulty, good in randomness, long enough in period, high in balance and the like.

Description

technical field [0001] The invention belongs to the field of chaotic cryptography, in particular to a method for constructing a pseudo-random sequence generator based on a non-degenerate hyper-chaotic system. Background technique [0002] Chaotic systems have many good properties, such as intrinsic randomness, noise-like properties, sensitivity to initial conditions, and ergodicity. These characteristics of chaos have a natural connection with the field of information security. With the development of large-scale integrated circuits, digitizing chaotic systems to design pseudo-random sequence generators has a wide range of applications in the field of secure communications. However, due to the limited machine word length of hardware devices such as computers, the dynamic characteristics of digital chaotic systems will degenerate. This characteristic degradation phenomenon will hinder the application of chaos in engineering practice to a certain extent, and affect the perfo...

Claims

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Application Information

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IPC IPC(8): H04L9/00H04L9/26
CPCH04L9/001H04L9/0668Y02D30/70
Inventor 范春雷丁群
Owner HEILONGJIANG UNIV
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