Color image encryption method based on fractional order discrete neural network and DNA operation
A technology of neural network and encryption method, which is applied in the field of color image encryption based on fractional discrete neural network and DNA operation, which can solve problems such as complex dynamic behavior, ciphertext cannot resist noise and information loss attacks, and small key space , to achieve the effect of coping with noise and clipping attacks
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[0115] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and examples.
[0116] (1) Concept preparation
[0117] (1.1) Fractional discrete Hopfield neural network
[0118] The DNA encryption algorithm based on the fractional chaotic neural network is different from the conventional chaotic encryption algorithm. We use the fractional discrete Hopfield neural network as a pseudo-random number generator. The Hopfield neural network was proposed by American scientists in 1982. The general form is as follows :
[0119]
[0120] in Its specific form is as follows:
[0121]
[0122] Here are some basic definitions of fractional calculus:
[0123] The fractional order β∈R of the known function f(t) + , when t>0 is defined as follows
[0124]
[0125] Let the order α∈(n-1,n) of the function f(t) be defined as follows ...
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