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Assessment of CRC error probability at minor distortion of information

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Abstract

The authors of [1, 2] suggested a model of information distortion by white noise. The present work discusses the asymptotic behavior of CRC error probabilities at low values of p, which is the probability of distortion of transferred information bits. On the basis of the theoretical results in two specific protocols—Е1 and ETSI EN 302307—as well as in the examples, the probability values for the error in recognizing the given packet as nondistorted in the presence of at least one distortion are assessed.

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References

  1. Baranov, P.A., On the distribution of CRC values in the model of binary noise, Probl. Inf. Bezop., Komp’yut. Sist., 2015, no.2, pp. 47–51.

    Google Scholar 

  2. Baranov, A.P. and Baranov, P.A., Asymptotic estimates of CRC error probabilities in some telecommunication protocols, Probl. Inf. Bezop., Komp’yut. Sist., 2016, no. 1, pp. 70–75.

    Google Scholar 

  3. Peterson, W. and Weldon, E.J., Error-Correcting Codes, The MIT Press, 1972, 2nd ed.

    MATH  Google Scholar 

  4. Proakis, J., Digital Communications, McGraw-Hill Education, 2007, 5th ed.

    MATH  Google Scholar 

  5. Williams, R.N., The elementary guide to CRC algorithms of error detection, 1993. http://www.info-system. ru/library/algo/crc1.pdf.

    Google Scholar 

  6. Liddle, R. and Niederreiter, H., Finite Fields, Cambridge University Press, 1988.

    Google Scholar 

  7. Vorob’ev, N.N., Addition of independent random variables on finite Abelian groups, Matematika, 1954, vol. 34, no. 76, no. 1, pp. 89–126.

    MathSciNet  Google Scholar 

  8. GOST (State Standard) R IEC 870-5-1-95: Remote Control Designs and Systems. Part 5: Formats of Transmitted Frames, 1995.

  9. Dunsmore, B. and Skander, T., Reference Communication Technologies, Williams, 2004.

    Google Scholar 

  10. ETSI EN 302 307 (DVB-S2), Moscow, 2009. http://stc-spica.ru/files/etsi302307.pdf.

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Author information

Authors and Affiliations

  1. National Research University Higher School of Economics, Moscow, Russia

    A. P. Baranov & P. A. Baranov

Authors
  1. A. P. Baranov
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  2. P. A. Baranov
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Corresponding author

Correspondence to A. P. Baranov.

Additional information

Original Russian Text © A.P. Baranov, P.A. Baranov, 2016, published in Problemy Informatsionnoi Bezopasnosti, Komp’yuternye Sistemy.

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Baranov, A.P., Baranov, P.A. Assessment of CRC error probability at minor distortion of information. Aut. Control Comp. Sci. 50, 765–772 (2016). https://doi.org/10.3103/S0146411616080058

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  • DOI: https://doi.org/10.3103/S0146411616080058

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