Author, institution: Aleksejus Michalkovič, Kaunas University of Technology
Science area, field: Technological Sciences, Informatics Engineering
The Doctoral Dissertation is available at the library of Kaunas University of Technology (K. Donelaičio St. 20, Kaunas).
Scientific supervisor:
Prof. Dr. Eligijus SAKALAUSKAS (Kaunas University of Technology, Technological Sciences, Informatics Engineering – 07T).
Dissertation Defense Board of Informatics Engineering Science field:
Prof. Dr. Robertas DAMAŠEVIČIUS (Kaunas University of Technology, Technological Sciences, Informatics Engineering – 07T), chairman;
Prof. Dr. Habil. Antanas ČENYS (Vilnius Gediminas Technical University, Technological Sciences, Informatics Engineering – 07T),
Prof. Dr. Zenonas NAVICKAS (Kaunas University of Technology, Physical Sciences, Mathematics – 01P),
Prof. Dr. Habil. Minvydas Kazys RAGULSKIS (Kaunas University of Technology, Physical Sciences, Informatics – 09P),
Prof. Dr. Julius ŽILINSKAS (Vilnius University, Technological Sciences, Informatics Engineering – 07T).
Annotation:
Original asymmetric encryption protocol is presented. The security of this protocol relies on the matrix power function (MPF). This function is used to mathematically link private and public keys and has never before been used for asymmetric encryption. Algebraic and statistical properties of MPF with conjugation constrains are considered in this work. It is shown that this function can be used for cryptographic protocols.
The suggested protocol is analyzed using the elements of number theory. It is shown that the first version of the protocol is vulnerable to the discrete logarithm attack. Due to this fact we introduce improvements for our protocol. We also perform a comparison of our protocol to other asymmetric encryption protocols.
