tion protocols. (2) Chaotic sequences are well pseudo random, orbit-unpredictable and initial sensitive, which are suitable for fabric Hash function. This thesis has brought forward a Hash function design based on the Logistic mapping. The test result shows that the function has good initial sensitivity, confusion and scattering.(3) Considering that the standardization of related algorithm in AKA protocol of 3G is not necessary, the related algorithms can be developed by oneself, to enrich the choices of operators and developers. This thesis put forward a simple design plan of AKA algorithms with good value in practice, which employs hash function as core algorithm.