Sum code family formation method with undetectable error minimum in data vectors
The research results of the methods for formation of separable sum codes with the minimum number of undetectable errors in data vectors are presented. A formula for counting the number of undetectable errors in data vectors and codes family properties are given. A universal method for formation of s...
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| Format: | Article |
| Language: | Russian |
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National Academy of Sciences of Belarus, the United Institute of Informatics Problems
2019-09-01
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| Series: | Informatika |
| Subjects: | |
| Online Access: | https://inf.grid.by/jour/article/view/803 |
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| author | D. V. Efanov V. V. Sapozhnikov Vl. V. Sapozhnikov |
| author_facet | D. V. Efanov V. V. Sapozhnikov Vl. V. Sapozhnikov |
| author_sort | D. V. Efanov |
| collection | DOAJ |
| description | The research results of the methods for formation of separable sum codes with the minimum number of undetectable errors in data vectors are presented. A formula for counting the number of undetectable errors in data vectors and codes family properties are given. A universal method for formation of such codes is shown, which makes it possible for each value of the data vector length to obtain a whole family of codes that also have different distributions of undetectable errors by type and multiplicity. An example of codes formation, methods for analyzing characteristics, code comparison are presented. A method for synthesizing coders of developed sum codes is suggested. |
| format | Article |
| id | doaj-art-36d617a00cfb4e33aa83bbbe0f13b5b6 |
| institution | Kabale University |
| issn | 1816-0301 |
| language | Russian |
| publishDate | 2019-09-01 |
| publisher | National Academy of Sciences of Belarus, the United Institute of Informatics Problems |
| record_format | Article |
| series | Informatika |
| spelling | doaj-art-36d617a00cfb4e33aa83bbbe0f13b5b62025-08-20T03:45:02ZrusNational Academy of Sciences of Belarus, the United Institute of Informatics ProblemsInformatika1816-03012019-09-01163101118838Sum code family formation method with undetectable error minimum in data vectorsD. V. Efanov0V. V. Sapozhnikov1Vl. V. Sapozhnikov2"LocoTech-Signal" LLC; Russian University of TransportEmperor Alexander I St. Petersburg State Transport UniversityEmperor Alexander I St. Petersburg State Transport UniversityThe research results of the methods for formation of separable sum codes with the minimum number of undetectable errors in data vectors are presented. A formula for counting the number of undetectable errors in data vectors and codes family properties are given. A universal method for formation of such codes is shown, which makes it possible for each value of the data vector length to obtain a whole family of codes that also have different distributions of undetectable errors by type and multiplicity. An example of codes formation, methods for analyzing characteristics, code comparison are presented. A method for synthesizing coders of developed sum codes is suggested.https://inf.grid.by/jour/article/view/803technical diagnosticsfault detectorsum codeundetectable errorundetectable error minimummodified sum codecodes family |
| spellingShingle | D. V. Efanov V. V. Sapozhnikov Vl. V. Sapozhnikov Sum code family formation method with undetectable error minimum in data vectors Informatika technical diagnostics fault detector sum code undetectable error undetectable error minimum modified sum code codes family |
| title | Sum code family formation method with undetectable error minimum in data vectors |
| title_full | Sum code family formation method with undetectable error minimum in data vectors |
| title_fullStr | Sum code family formation method with undetectable error minimum in data vectors |
| title_full_unstemmed | Sum code family formation method with undetectable error minimum in data vectors |
| title_short | Sum code family formation method with undetectable error minimum in data vectors |
| title_sort | sum code family formation method with undetectable error minimum in data vectors |
| topic | technical diagnostics fault detector sum code undetectable error undetectable error minimum modified sum code codes family |
| url | https://inf.grid.by/jour/article/view/803 |
| work_keys_str_mv | AT dvefanov sumcodefamilyformationmethodwithundetectableerrorminimumindatavectors AT vvsapozhnikov sumcodefamilyformationmethodwithundetectableerrorminimumindatavectors AT vlvsapozhnikov sumcodefamilyformationmethodwithundetectableerrorminimumindatavectors |