IDENTIFICATION OF ERRORS WITH BCH CODES USING BASICS AND COMPLEMENTARY NORMS OF SYNDROMES
The complexity of the norm decoding is exanimated. The results of computational experiments in the norm decoding for BCH codes are presented. Analysis of the results shows that part of the norm instead the whole norm of the syndrome can be used for the identification of multiple errors patterns. Pro...
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| Format: | Article |
| Language: | Russian |
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Educational institution «Belarusian State University of Informatics and Radioelectronics»
2019-06-01
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| Series: | Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki |
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| Online Access: | https://doklady.bsuir.by/jour/article/view/126 |
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| _version_ | 1839568054289170432 |
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| author | V. K. Konopelko D. N. Hoang |
| author_facet | V. K. Konopelko D. N. Hoang |
| author_sort | V. K. Konopelko |
| collection | DOAJ |
| description | The complexity of the norm decoding is exanimated. The results of computational experiments in the norm decoding for BCH codes are presented. Analysis of the results shows that part of the norm instead the whole norm of the syndrome can be used for the identification of multiple errors patterns. Properties of norms of syndrome for BCH codes are identified. Identification based on the combined use of main and supplementary norms if the value of the first component of the syndrome is zero are proposed. |
| format | Article |
| id | doaj-art-bc98e7f22ea1463fb5ea095b4e497ef5 |
| institution | Matheson Library |
| issn | 1729-7648 |
| language | Russian |
| publishDate | 2019-06-01 |
| publisher | Educational institution «Belarusian State University of Informatics and Radioelectronics» |
| record_format | Article |
| series | Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki |
| spelling | doaj-art-bc98e7f22ea1463fb5ea095b4e497ef52025-08-04T17:38:12ZrusEducational institution «Belarusian State University of Informatics and Radioelectronics»Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki1729-76482019-06-01086974125IDENTIFICATION OF ERRORS WITH BCH CODES USING BASICS AND COMPLEMENTARY NORMS OF SYNDROMESV. K. Konopelko0D. N. Hoang1Белорусский государственный университет информатики и радиоэлектроникиБелорусский государственный университет информатики и радиоэлектроникиThe complexity of the norm decoding is exanimated. The results of computational experiments in the norm decoding for BCH codes are presented. Analysis of the results shows that part of the norm instead the whole norm of the syndrome can be used for the identification of multiple errors patterns. Properties of norms of syndrome for BCH codes are identified. Identification based on the combined use of main and supplementary norms if the value of the first component of the syndrome is zero are proposed.https://doklady.bsuir.by/jour/article/view/126синдром sнорма синдрома nосновныезависимыедополняющие нормыкратность ошибок tдлина кода nобразующие вектора ошибок |
| spellingShingle | V. K. Konopelko D. N. Hoang IDENTIFICATION OF ERRORS WITH BCH CODES USING BASICS AND COMPLEMENTARY NORMS OF SYNDROMES Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki синдром s норма синдрома n основные зависимые дополняющие нормы кратность ошибок t длина кода n образующие вектора ошибок |
| title | IDENTIFICATION OF ERRORS WITH BCH CODES USING BASICS AND COMPLEMENTARY NORMS OF SYNDROMES |
| title_full | IDENTIFICATION OF ERRORS WITH BCH CODES USING BASICS AND COMPLEMENTARY NORMS OF SYNDROMES |
| title_fullStr | IDENTIFICATION OF ERRORS WITH BCH CODES USING BASICS AND COMPLEMENTARY NORMS OF SYNDROMES |
| title_full_unstemmed | IDENTIFICATION OF ERRORS WITH BCH CODES USING BASICS AND COMPLEMENTARY NORMS OF SYNDROMES |
| title_short | IDENTIFICATION OF ERRORS WITH BCH CODES USING BASICS AND COMPLEMENTARY NORMS OF SYNDROMES |
| title_sort | identification of errors with bch codes using basics and complementary norms of syndromes |
| topic | синдром s норма синдрома n основные зависимые дополняющие нормы кратность ошибок t длина кода n образующие вектора ошибок |
| url | https://doklady.bsuir.by/jour/article/view/126 |
| work_keys_str_mv | AT vkkonopelko identificationoferrorswithbchcodesusingbasicsandcomplementarynormsofsyndromes AT dnhoang identificationoferrorswithbchcodesusingbasicsandcomplementarynormsofsyndromes |