Open AccessPiecewise Multi-Parameter Tangent/Cotangent Function and Its Application in Chaotic Pseudorandom Bit Generator
Author(s) -
Qi Wu
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1746/1/012055
Subject(s) - chaotic , inverse trigonometric functions , piecewise , lyapunov exponent , trigonometric functions , pseudorandom number generator , generator (circuit theory) , mathematics , piecewise linear function , cryptography , function (biology) , bifurcation diagram , computer science , algorithm , bifurcation , mathematical analysis , nonlinear system , power (physics) , artificial intelligence , physics , geometry , quantum mechanics , evolutionary biology , biology
To increase the number of parameters of 1-dimensional discrete chaotic mappings, employing translation & scaling, this letter creatively designs a piecewise 5-parameters Tangent/Cotangent Function. Both bifurcation diagram and Lyapunov exponent spectrum illustrate that the proposed function seems to be inappropriate for cryptographic applications, due to its narrow chaotic area. However, after applying it to devising chaotic pseudorandom bit generator, it outperforms skew tent mapping, whose chaotic area is full. It might be applied to some other fields as well, such as cryptographic hash functions, which will possibly be paid attention to in the future.