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• W2460827505 abstract "Different from existing methods that use matrix multiplications and have high computation complexity, this paper proposes an efficient generation method of <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${n}$ </tex-math></inline-formula> -dimensional ( <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${n}text{D}$ </tex-math></inline-formula> ) Cat maps using Laplace expansions. New parameters are also introduced to control the spatial configurations of the <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${n}text{D}$ </tex-math></inline-formula> Cat matrix. Thus, the proposed method provides an efficient way to mix dynamics of all dimensions at one time. To investigate its implementations and applications, we further introduce a fast implementation algorithm of the proposed method with time complexity <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${O(n^{4})}$ </tex-math></inline-formula> and a pseudorandom number generator using the Cat map generated by the proposed method. The experimental results show that, compared with existing generation methods, the proposed method has a larger parameter space and simpler algorithm complexity, generates <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${n}text{D}$ </tex-math></inline-formula> Cat matrices with a lower inner correlation, and thus yields more random and unpredictable outputs of <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${n}text{D}$ </tex-math></inline-formula> Cat maps." @default.
• W2460827505 created "2016-07-22" @default.
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• W2460827505 date "2016-11-01" @default.
• W2460827505 modified "2023-10-01" @default.
• W2460827505 title "$n$ -Dimensional Discrete Cat Map Generation Using Laplace Expansions" @default.
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• W2460827505 doi "https://doi.org/10.1109/tcyb.2015.2483621" @default.
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