COMBINED FACTORIAL CODING AND ITS PROPERTIES
Науковий журнал «Радіоелектроніка, інформатика, управління»
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COMBINED FACTORIAL CODING AND ITS PROPERTIES |
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Faure, E. V.; Cherkasy State Technological University, Cherkasy, Ukraine Shvydkyi, V. V.; Cherkasy State Technological University, Cherkasy, Ukraine Shcherba, V. O.; Cherkasy State Technological University, Cherkasy, Ukraine |
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factorial code, permutation, information integrity control, error control coding, transmission accuracy, strength. |
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In this paper the authors propose a method of combined factorial data coding directed to the information integrity control that provides<br />a comprehensive protection against intentional alteration of data and communication channel errors. The basic idea of the proposed method<br />consists in combining of procedures of full factorial coding that uses a permutation as a codeword check value, and a cyclic redundancy coding<br />(CRC). In this case a codeword check value of combined factorial code is generated from a codeword check value of full factorial code<br />represented by a polynomial, by the CRC polynomial modulo. The basic properties of the combined factorial code are defined. The assessments<br />of transmission reliability, cryptographic strength and strength against intentional alteration of data are evaluated. A comparative analysis of<br />detecting ability (probability of an error undetected by the code) and energy gain for the full and combined factorial coding is done on the<br />condition of independence of errors that appear in communication channel and their binomial distribution. The ways of improvement of the<br />presented assessment of the probability of an undetected by factorial code error are defined. Recommendations for the use of full and combined factorial coding are given. |
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Zaporizhzhya National Technical University 2016-10-27 12:28:19 |
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application/pdf http://ric.zntu.edu.ua/article/view/81339 |
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Radio Electronics, Computer Science, Control; No 3 (2016): Radio Electronics, Computer Science, Control |
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ru |
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Copyright (c) 2016 E. V. Faure, V. V. Shvydkyi, V. O. Shcherba |
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