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N-dimensional discrete cat map generation using Laplace expansions
Wu Y.2; Hua Z.1; Zhou Y.1
2015-10-26
Source PublicationIEEE Transactions on Cybernetics
ISSN21682267
Volume46Issue:10
Abstract

Different from existing methods that use matrix multiplications and have high computation complexity, this paper proposes an efficient generation method of n-dimensional (nD) Cat maps using Laplace expansions. New parameters are also introduced to control the spatial configurations of the nD 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 O(n) 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 nD Cat matrices with a lower inner correlation, and thus yields more random and unpredictable outputs of nD Cat maps.

KeywordArnold's Cat Map Cryptography Laplace Expansion N-dimensional (Nd) Cat Map
DOI10.1109/TCYB.2015.2483621
URLView the original
Indexed BySCI
WOS Research AreaAutomation & Control Systems ; Computer Science
WOS SubjectAutomation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS IDWOS:000386227000020
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Citation statistics
Cited Times [WOS]:9   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF COMPUTER AND INFORMATION SCIENCE
Affiliation1.Universidade de Macau
2.Tufts University
Recommended Citation
GB/T 7714
Wu Y.,Hua Z.,Zhou Y.. N-dimensional discrete cat map generation using Laplace expansions[J]. IEEE Transactions on Cybernetics,2015,46(10).
APA Wu Y.,Hua Z.,&Zhou Y..(2015).N-dimensional discrete cat map generation using Laplace expansions.IEEE Transactions on Cybernetics,46(10).
MLA Wu Y.,et al."N-dimensional discrete cat map generation using Laplace expansions".IEEE Transactions on Cybernetics 46.10(2015).
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