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General structure of the linear system of error correcting coding

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Abstract

The general structure of the linear system of error correcting coding in the form of multiinput (vector) digital filter with variable parameters has been analyzed. A modification of the Euclid algorithm of inversion of a polynomial with matrix coefficients is presented. The peculiarities of solving the problem of decoding the code with variable parameters are considered.

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References

  1. R. H. Morelos-Zaragoza, The Art of Error Correcting Coding (Wiley, New York, 2006; Tekhnosfera, Moscow, 2007).

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  2. B. Sklar, Digital Communications. Fundamentals and Applications, 2nd ed. (Prentice-Hall, New Jersey, 2001; Izdat. dom “Williams”, Moscow, 2003).

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Authors and Affiliations

  1. Kyiv, Ukraine

    V. L. Seletkov

Authors
  1. V. L. Seletkov
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Additional information

Original Russian Text © V.L. Seletkov, 2010, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2010, Vol. 53, No. 12, pp. 24–31.

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Seletkov, V.L. General structure of the linear system of error correcting coding. Radioelectron.Commun.Syst. 53, 644–651 (2010). https://doi.org/10.3103/S0735272710120034

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  • DOI: https://doi.org/10.3103/S0735272710120034

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