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Information × Registration Number 0212U009091, 0111U007473 , R & D reports Title Research of mathematical methods of the one-way transformations properties analysis and their use for research of cryptographic systems popup.stage_title Head Savchuk Mikhael, Registration Date 28-12-2012 Organization The National Technical University of Ukraine "Kiev Polytechnical Institute"; Institute of Technical Physics popup.description2 The comparative analysis of the main methods searching hash functions collisions, as well as the results of their application, are continued. The methods reducing the problem of building collisions of register type shrinking functions, including those used in the algorithms SHA-0 and SHA-1, to the automaton equations of some form with restrictions are developed. Analysis of algorithms and methods for constructing differential paths for compression functions MD5 Compress is carried out, an algorithm for constructing differential paths for MD5 hash function is made and the analysis of the features provided by its implementation and realization of Stevens and Lenstra algorithm is performed. Different variants of compromise attacks: the Hellman, Oeshlin and Biham-Shamir attacks are investigated. The techniques of the analysis of the pseudo-random number generator “Mersenne vortex” and random number generators that are implemented in operating systems FreeBSD and Linux are developed. A thorough investigation of LHVCH, the random number generator in the OS Linux, is performed. The information on the known at the moment key vulnerabilities of the protocols SSLv3 and TLSv1.0, 1.1, 1.2, and the attacks based on these vulnerabilities (both theoretical and practical) are provided. A comparative experimental study of three well-known algorithms for data compression: Deflate, RAR and LZMA2 is carried out. Product Description popup.authors Єндовицький Павло Олександрович Завадська Людмила Олексіївна Коваленко Б. Ковальчук Людмила Василівна Конюшок Сергій Миколайович Олексійчук Антон Михайлович Проскуровський Роман Савчук Михайло Миколайович Фаль Олексій Миколайович Фесенко Андрій В'ячеславович Яковлев Сергій Володимирович popup.nrat_date 2020-04-02 Close
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Head: Savchuk Mikhael. Research of mathematical methods of the one-way transformations properties analysis and their use for research of cryptographic systems. (popup.stage: ). The National Technical University of Ukraine "Kiev Polytechnical Institute"; Institute of Technical Physics. № 0212U009091
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Updated: 2026-03-22