Plenary Lecture

Pseudorandom Generators and Cryptography

Professor Mirella Amelia Mioc
Department of Computer Science
Faculty of Automatics and Computers
“Politehnica” University of Timisoara
Romania
E-mail: mirella.mioc@cs.upt.ro

Abstract: Beginning with Shannon’s definition of Entropy the Information Theory developed connections between the random number generators and theoretical mathematical notions. Complexity Theory and The Theory of Compatibility provide these connections as well.Pseudorandom generator has to be unpredictable. So, any efficient algorithm must be able to predict the next output bit with a non negligibly probability higher than 0.5. Because of their widely use in Cryptography, permutations and pseudorandom functions must be obtained from Pseudorandom Generators. In Cryptography and Theoretical Computer Science a Pseudorandom Generator is a deterministic procedure for a class of statistical tests. In the literature many statistical tests have been developed and classified. The circuit lower bounds described in Computational Complexity Theory seems to be the equivalent to the “best” pseudorandom generator. Some of the well-known applications in Cryptography for the Pseudorandom Generators are the common constructions of stream ciphers. Also, the Symmetric Key Cryptosystems can be constructed by using a Pseudorandom Generator. Notations as pseudo randomness and computational indistinguishability became stronger nowadays and must be carefully analyzed.

Brief Biography of the Speaker: Mirella Amelia Mioc graduated the Faculty of Electrotehnics, Computer Science, of the „Traian Vuia” Polytehnic Institute of Timisoara; Presently she is Assistant Professor in the Department of Computer Science from „Politehnica” University of Timisoara. The main field of interest consists of analizing the use of shift registers in cryptography and coding theory, the subject of her PhD. Her scientific activity concerns: Number Theory,Numerical Methods for mathematics,Information Theory,Programming languages: Pascal, C, C++, Lisp, ML, Java, Fundamental concepts of programming languages, Study of using shift registers in cryptography and coding theory. She is the author of:3 books about Programming Languages Pascal and C, 4 guiding laboratories - Numerical Methods and Programming Languages, 43 scientific papers published in conference proceedings and journals in country and abroad. She performed scientific activities in some foreign univesities:Technische Universität Berlin, Germany, Technical University of Budapest, Hungary, Université Libre de Bruxelles, Belgium, Université de Liège, Belgium, Université Pierre et Marie Curie ( VI ) of Paris, France. She participated in several EU founded projects in TEMPUS, LEONARDO and ERASMUS and also took part in some grants and agreements in research. She was member in the implementations team of the Project “WETEN – Western-Eastern Teacher Education Network”, 145035 - TEMPUS – 2008 – LT – JPTHN in the period 2009 – 2011. She has papers presented in WSEAS Conferences in 2008, 2009 and also published in WSEAS Journals. She was invited Plenary Speaker in the 13th WSEAS International Conference on COMPUTERS in Rhodes in July 2009 and also in the 11th WSEAS International Conference on DATA NETWORKS,COMMUNICATIONS, COMPUTERS (DNCOCO '12) in Sliema, Malta, September 7-9, 2012, in the 4th International Conference on Circuits, Systems, Control, Signals (CSCS '13) in Valencia, Spain, August 6-8, last year in the INASE Conference from Athina and 18th International Conference on Evolutionary Computing in London, UK, October 27-29 2017.

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