A Three-Party Authentication Key Agreement Method Based on Extended Chaos Algorithm
A technology of key agreement and three-party authentication, which is applied in the field of three-party authentication key agreement based on the extended chaotic algorithm, can solve the problem of inability to resist privileged user attacks, offline key guessing attacks, smart card theft, increase the difficulty of protocol operation, and inability to resist internal User attacks and other issues
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[0079] In order to make the object, technical solution and advantages of the present invention more clear, the present invention will be further described in detail below in conjunction with the examples. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.
[0080] Theories related to the three-party authentication key agreement protocol method based on the extended chaotic algorithm provided by the embodiment of the present invention:
[0081] Relevant theoretical knowledge about Chebyshev (Chebyshev) chaos algorithm.
[0082] Chebyshev Chaos Algorithm:
[0083] Definition 2.1n-dimensional Chebyshev polynomial T n (x):[-1,1]→[-1,1] is defined as T n (x)=cos(narccos(x)), where: n is an integer, x is a real number and x∈[−1,1].
[0084] Definition 2.2 Let n∈Z, variable x∈[-1,1], Chebyshev polynomial T n (x):[-1,1]→[-1,1] The iteration relation is T n (x)=2xT n-1 (x)-T n-...
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