A Cryptographic Calculation Method Based on Nonlinear Theory
A calculation method and nonlinear technology, applied in the field of cryptography, can solve the problems of chaotic orbit collapse and low efficiency, and achieve the effect of improving efficiency
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[0045] The present invention will be described in further detail below by means of specific embodiments:
[0046] 2.2 Main technical solutions
[0047] In our inventive design, there are two chaotic systems in the form:
[0048]
[0049]
[0050] Both chaotic systems are piecewise linear maps (PLCMs). This choice is due to the fact that PLCMs have better chaotic dynamics behavior than other chaotic systems such as Logistic maps. The difference between them is that they have different control parameters b 1 and b 2 , these two parameters are also added with F 1 the initial state x 0 , that is, the triplet (b 1 ,b 2 ,x 0 ) constitutes the key Key of the cryptosystem, when (b 1 ,b 2 ,x 0 When the three values of ) all belong to the interval (0,1), the iteration of the equation (1, 2) has the characteristics of chaotic dynamics.
[0051] The plaintext information P consists of a series of m-bit plaintext blocks, so there are N=2 m different plaintext block value...
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