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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v44.i12.40
pages 28-36

Forming the Correction Signal of Distortions of an Arbitrary Multiplicity of Systematic Codes on the Basis of Quasisyndrome in Recurrent Algorithmic Environment. The Case of Correction of the Multiplicity 1 Distortions in the Rate of Channel Time

Anatoliy V. Ushakov
St. Petersburg State University of Information Technologies, Mechanics and Optics Russia
Elena S. Yaitskaya
Saint Petersburg National Research University of Information Technologies, Mechanics and Optics

ABSTRACT

The problem of forming the signals of distortions correction of systematic noise-protected codes is considered, using the errors quasisyndromes in the algorithmic environment of recurrent decoding in the case of correction of errors of multiplicity not exceeding 1 in the rate of channel time. The statements of the article are illustrated by the example.

REFERENCES

  1. Ushakov A.V., Yaitskaya E.S. , Recursive systematic noise-protected code conversion: the capabilities of the apparatus of linear binary dynamic systems.

  2. Gill A. , Linear sequential circuits. Analysis, synthesis, and applications [Russian translation].

  3. Peterson W.W., Weldon E.J., Error-correcting codes [Russian translation].

  4. Ushakov A.V., Yaitskaya E.S. , Forming the bank of check matrces of systematic noise-protected codes using the matrix multiplicative component.

  5. Gantmakher F.R. , Matrix theory, 5th ed. [in Russian].


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