Polynomial invariants of <i>G</i>-orbit errors of BCH codes and its application
The article addresses the further development of methods of BCH codes norm decoding. The authors propose to use new syndrome invariants - polynomial invariants of automorphism group G of a family of BCH codes. The paper presents basic properties of polynomial invariants and errors correction techniq...
| 出版年: | Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki |
|---|---|
| 主要な著者: | , |
| フォーマット: | 論文 |
| 言語: | ロシア語 |
| 出版事項: |
Educational institution «Belarusian State University of Informatics and Radioelectronics»
2019-06-01
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| 主題: | |
| オンライン･アクセス: | https://doklady.bsuir.by/jour/article/view/878 |
| _version_ | 1849502928351526912 |
|---|---|
| author | V. A. Lipnitski E. V. Sereda |
| author_facet | V. A. Lipnitski E. V. Sereda |
| author_sort | V. A. Lipnitski |
| collection | DOAJ |
| container_title | Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki |
| description | The article addresses the further development of methods of BCH codes norm decoding. The authors propose to use new syndrome invariants - polynomial invariants of automorphism group G of a family of BCH codes. The paper presents basic properties of polynomial invariants and errors correction technique considered on two-step iteration system of error identification. An efficiency of the method of decoding based on polynomial invariants of G -orbit is demonstrated by the example. |
| format | Article |
| id | doaj-art-acbefdbf1f37444db8c3dffe7a2829c2 |
| institution | Directory of Open Access Journals |
| issn | 1729-7648 |
| language | Russian |
| publishDate | 2019-06-01 |
| publisher | Educational institution «Belarusian State University of Informatics and Radioelectronics» |
| record_format | Article |
| spelling | doaj-art-acbefdbf1f37444db8c3dffe7a2829c22025-08-20T03:02:07ZrusEducational institution «Belarusian State University of Informatics and Radioelectronics»Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki1729-76482019-06-01056269877Polynomial invariants of <i>G</i>-orbit errors of BCH codes and its applicationV. A. Lipnitski0E. V. Sereda1Military academy of Republic of BelarusBelarusian state university of informatics and radioelectronicsThe article addresses the further development of methods of BCH codes norm decoding. The authors propose to use new syndrome invariants - polynomial invariants of automorphism group G of a family of BCH codes. The paper presents basic properties of polynomial invariants and errors correction technique considered on two-step iteration system of error identification. An efficiency of the method of decoding based on polynomial invariants of G -orbit is demonstrated by the example.https://doklady.bsuir.by/jour/article/view/878bch codesyndromeautomorphism of bch codeerror г-orbits and g-orbitsnorm of syndromenorm of syndrome theorypolynomial invariants of error g-orbits |
| spellingShingle | V. A. Lipnitski E. V. Sereda Polynomial invariants of <i>G</i>-orbit errors of BCH codes and its application bch code syndrome automorphism of bch code error г-orbits and g-orbits norm of syndrome norm of syndrome theory polynomial invariants of error g-orbits |
| title | Polynomial invariants of <i>G</i>-orbit errors of BCH codes and its application |
| title_full | Polynomial invariants of <i>G</i>-orbit errors of BCH codes and its application |
| title_fullStr | Polynomial invariants of <i>G</i>-orbit errors of BCH codes and its application |
| title_full_unstemmed | Polynomial invariants of <i>G</i>-orbit errors of BCH codes and its application |
| title_short | Polynomial invariants of <i>G</i>-orbit errors of BCH codes and its application |
| title_sort | polynomial invariants of i g i orbit errors of bch codes and its application |
| topic | bch code syndrome automorphism of bch code error г-orbits and g-orbits norm of syndrome norm of syndrome theory polynomial invariants of error g-orbits |
| url | https://doklady.bsuir.by/jour/article/view/878 |
| work_keys_str_mv | AT valipnitski polynomialinvariantsofigiorbiterrorsofbchcodesanditsapplication AT evsereda polynomialinvariantsofigiorbiterrorsofbchcodesanditsapplication |