ee9a401b-1502-4beb-8705-4a1a1db15a3920210219123941405wseamdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS1109-276910.37394/23206http://wseas.org/wseas/cms.action?id=40512720202720201910.37394/23206.2020.19http://wseas.org/wseas/cms.action?id=23185The Timer Inremental Compression of Data and InformationRuslanSkuratovskiiDepartment of computer science, Igor Sikorsky Kiеv Polytechnic Institute, Kiev, UKRAINE 03056, av. Pobedy 37 and Interregional Academy of Personnel ManagementVolodymyrOsadchDepartment of computer science, IT-GRAVITY-VO, Inc. Orlando, Florida US KievYevgenOsadchyyNational University named by Taras Shevchenko, Kiev, UkraineThe ability to find short representations, i.e. to compress data, is crucial for many intelligentsystems. This paper is devoted to data compression and a transform-based quantitative data compressiontechnique involving quick enumeration in a unary-binary time-based numeral system (NS). The symbolscomprising the alphabets of human-computer interaction languages (HCIL), which are used in an informationalmessage (IM), are collected in primary code tables, such as the ASCII table. The statistical-oriented datacompression method using unconventional timer encryption and encoding information are proposed by us. Itwas constructed probability - discrete model of the set of character sequences and characterized someprobabilistic algorithms associated with the recovery of text by its public key and its cipher. We find thepossibility of parallel implementation of this method by building a block of timer tags. The necessaryestimations of complexity are obtained. The method can be used to compress SMS messages. Probabilisticstatistical analysis and evaluation of their effectiveness are obtained.81020208102020398406https://www.wseas.org/multimedia/journals/mathematics/2020/a825106-048.pdf10.37394/23206.2020.19.41https://www.wseas.org/multimedia/journals/mathematics/2020/a825106-048.pdfSkuratovskii R., Trembovetska O. Application of discrete structures and numerical sequences in block codes. Naukovie Visti KPI, n.6, 68-75, 2014. Skuratovskii R.V. The method of fast timer encoding of texts. // Cybernetics and System Analysis, 49 (1): 154-161, 2013. Douglas Lind, Brian Marcus: An introduction to symbolic dynamics and coding, Cambridge University Press 1995.– 490 P.V. F. Bardachenko, Analysis of the Characteristics of Time-Masked Information // USM. - 1994. - No. 3. - P.16-29. N. Koblitz, Algebraic aspects of cryp tography. Vol. 3, Algorithms and Computation in Mathematics, Springer-Verlag, Berlin, 2004.– 207.Agnieska Danek. Application of the Burrows-Wheeler Transform for Searching for Approximate Tandem Repeats. Springer-Verlag US, 2012, pp 256-256. 10.1109/dsmp47368.2020.9204126Osadchyy Y.O., Osadchyy O.Y., Skuratovskii R.V. // Numerical regularities and timer coding information. Artificial intelligence. -No3.-2017.-P.1-22. V.M. Tereshchenko, Y.O. Osadchyy, Pransforming technology of coding information in the computer of the von Neumann architecture. Research topics: International scientific youth school "Systems and means of artificial intelligence (AIIS`2017).- K.- 2017. - P.210-214. 10.1112/plms/s2-43.6.544Turing A. M. On Computable Numbers, with an Application to the Entscheidungsproblem. A Correction // Proceedings of the London Mathematical Society — 1938. — Vol. s2-43, Iss. 6. — P. 544–546. — ISSN 0024-6115; 1460-244X — doi:10.1112/PLMS/S2-43.6.544Ruslan Skuratovskii. Parallel solution in fast methods of timer coding of information. High Performance Computing Kyiv, October 22-23, 2018. Source: http://hpc-ua.org/hpc-ua-18/participants/Bolotov A. A. Gashkov S. B., Frolov A. B., Chasovsky A. A. An Elementary Introduction to Elliptic Cryptography – CompBook Vol. 2 2006, 328 p.Volkov Y. I., Voynalovich N. M. Elements of Discrete Mathematics. Kirovograd Central Ukrainian State Pedagogical University, 2000 y.– 174 p.Osadchyy Y.O., An Approach to Improvement of Timer Methods of Information Security // Vis. TANG, Economic and mathematical modeling. - 1999.– No 1.– P. 30–35 p.10.3390/math8040472R. Skuratovskii, The Derived Subgroups of Sylow 2-Subgroups of the Alternating Group and Commutator Width of Wreath Product of Groups. Mathematics, Basel, Switzerland, (2020) No 8(4), pp. 1-19. Skuratovskii R. V., Osadchyy V. Order of Edwards and Elliptic Curves Over Finite Field. WSEAS Transactions on Mathematics, Volume 19, pp. 253-264, 2020. https://studfiles.net/preview/5368369/page:4/ 10.1016/s0921-4526(01)00865-1Gnatyuk, V. A. Mechanism of laser damage of transparent semiconductors.Physica B: Condensed Matter,. pp. 308 -310, 200110.1016/j.ins.2020.08.035Arthur Franz, Oleksandr Antonenko, Roman Soletskyi. A theory of incremental compression. Informatics and Computer Science Intelligent Systems Applications. 2020. Vol 540. pp 2-11