A multi-modular dynamical cryptosystem based on continuous-interval cellular automata

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dc.contributor.authorTerrazas Gonzalez, Jesus David
dc.contributor.examiningcommitteeFung, Wai-keung (Electrical and Computer Engineering) Camorlinga, Sergio(Electrical and Computer Engineering) Gumel, Abba (Mathematics)en_US
dc.contributor.supervisorKinsner, Witold (Electrical and Computer Engineering)en_US
dc.date.accessioned2013-01-04T19:04:40Z
dc.date.available2013-01-04T19:04:40Z
dc.date.issued2013-01-04
dc.degree.disciplineElectrical and Computer Engineeringen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractThis thesis presents a computationally efficient cryptosystem based on chaotic continuous-interval cellular automata (CCA). This cryptosystem increases data protection as demonstrated by its flexibility to encrypt/decrypt information from distinct sources (e.g., text, sound, and images). This cryptosystem has the following enhancements over the previous chaos-based cryptosystems: (i) a mathematical model based on a new chaotic CCA strange attractor, (ii) integration of modules containing dynamical systems to generate complex sequences, (iii) generation of an unlimited number of keys due to the features of chaotic phenomena obtained through CCA, which is an improvement over previous symmetric cryptosystems, and (iv) a high-quality concealment of the cryptosystem strange attractor. Instead of using differential equations, a process of mixing chaotic sequences obtained from CCA is also introduced. As compared to other recent approaches, this mixing process provides a basis to achieve higher security by using a higher degree of complexity for the encryption/decryption processes. This cryptosystem is tested through the following three methods: (i) a stationarity test based on the invariance of the first ten statistical moments, (ii) a polyscale test based on the variance fractal dimension trajectory (VFDT) and the spectral fractal dimension (SFD), and (iii) a surrogate data test. This cryptosystem secures data from distinct sources, while leaving no patterns in the ciphertexts. This cryptosystem is robust in terms of resisting attacks that: (i) identify a chaotic system in the time domain, (ii) reconstruct the chaotic attractor by monitoring the system state variables, (iii) search the system synchronization parameters, (iv) statistical cryptanalysis, and (v) polyscale cryptanalysis.en_US
dc.description.noteFebruary 2013en_US
dc.identifier.urihttp://hdl.handle.net/1993/14403
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectcryptographyen_US
dc.subjectcryptosystemsen_US
dc.subjectcryptologyen_US
dc.subjectcryptanalysisen_US
dc.subjectencryptionen_US
dc.subjectcontinuous cellular automataen_US
dc.subjectcellular automataen_US
dc.subjectchaosen_US
dc.subjectdynamical systemsen_US
dc.subjectdata protectionen_US
dc.subjectimage encryptionen_US
dc.subjectnetwork securityen_US
dc.subjectsafetyen_US
dc.subjectsound encryptionen_US
dc.subjecttext encryptionen_US
dc.subjecte-Applicationsen_US
dc.subjecte-Servicesen_US
dc.subjectnetworked computer systemsen_US
dc.titleA multi-modular dynamical cryptosystem based on continuous-interval cellular automataen_US
dc.typemaster thesisen_US
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