Chaos encrypting and decrypting method without multiply and divide of chaos function and circuit thereof
A chaotic function and chaotic encryption technology, applied in the field of network security, can solve the problems of reducing the confidentiality of the chaotic encryption system, high ADC cost, and high complexity
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[0089] Below in conjunction with accompanying drawing, the present invention is described in further detail:
[0090] The traditional method is mainly researched from mathematics, and then applied to the actual, not necessarily in line with the actual, the present invention is carried out by the opposite method, at first according to the characteristics of computer hardware, go to define the chaotic function f(x), and then mathematically prove.
[0091] (1) The present invention discloses a Qian chaotic function f(x) that meets the characteristics of computer hardware, expressed as follows:
[0092] N=2 K , K=positive integer (1)
[0093] |x|∈[0, 2N-1], |μ|∈[0, 2] (2)
[0094] Prove that formula (2) satisfies self-mapping: when |x|≤N-1, 0≤N-1-|x|≤N-1, that is, 0≤|g(x)|≤N-1; when N- When 1<|x|≤2N-1, 0≤||x|-N|≤N-1, that is, 0≤|g(x)|≤N-1. Because |μ|≤2, when μg(x)≥0, μg(x)+1=|μ|·|g(x)|+1≤|μ|·(N-1)+1≤2N- 1. Satisfy |f(x)|≤2N-1; when μg(x)<0, -(μg(x)-1)=-μg(x)+1=|μ|·|g(x)...
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