@article{Faure_Shvydkyi_Shcherba_2016, title={COMBINED FACTORIAL CODING AND ITS PROPERTIES}, url={http://ric.zntu.edu.ua/article/view/81339}, DOI={10.15588/1607-3274-2016-3-10}, abstractNote={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.}, number={3}, journal={Radio Electronics, Computer Science, Control}, author={Faure, E. V. and Shvydkyi, V. V. and Shcherba, V. O.}, year={2016}, month={Oct.} }