Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes
During the digital transmission of information, errors are bound to occur. The errors may be random or burst errors. In this paper, we have obtained necessary and sufficient conditions for the existence of linear codes over that are capable of correcting -repeated burst errors of length(fixed) and...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2022-12-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/792 |
| _version_ | 1797961576557314048 |
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| author | Ritu Arora Surbhi Madan Poonam Garg Esha Garg |
| author_facet | Ritu Arora Surbhi Madan Poonam Garg Esha Garg |
| author_sort | Ritu Arora |
| collection | DOAJ |
| description | During the digital transmission of information, errors are bound to occur. The errors may be random or burst errors. In this paper, we have obtained necessary and sufficient conditions for the existence of linear codes over that are capable of correcting -repeated burst errors of length(fixed) and -repeated burst errors of length (fixed) within sub-blocks of unequal lengths. We have also constructed a parity-check matrix for such a code. |
| first_indexed | 2024-04-11T01:00:01Z |
| format | Article |
| id | doaj.art-9cc6f53466fe41b7acb4e1986b3213c7 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-04-11T01:00:01Z |
| publishDate | 2022-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-9cc6f53466fe41b7acb4e1986b3213c72023-01-04T16:56:08ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142022-12-0143013115010.23755/rm.v43i0.792723Multi-block Two Repeated Fixed Burst Error Correcting Linear CodesRitu Arora0Surbhi Madan1Poonam GargEsha Garg2Janki Devi Memorial College, University of DelhiShivaji College, University of DelhiIndian Institute of Technology RoorkeeDuring the digital transmission of information, errors are bound to occur. The errors may be random or burst errors. In this paper, we have obtained necessary and sufficient conditions for the existence of linear codes over that are capable of correcting -repeated burst errors of length(fixed) and -repeated burst errors of length (fixed) within sub-blocks of unequal lengths. We have also constructed a parity-check matrix for such a code.http://eiris.it/ojs/index.php/ratiomathematica/article/view/792linear codesparity-check matrix2-repeated burst of length b(fixed)blockwise correctionsyndromes. |
| spellingShingle | Ritu Arora Surbhi Madan Poonam Garg Esha Garg Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes Ratio Mathematica linear codes parity-check matrix 2-repeated burst of length b(fixed) blockwise correction syndromes. |
| title | Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes |
| title_full | Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes |
| title_fullStr | Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes |
| title_full_unstemmed | Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes |
| title_short | Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes |
| title_sort | multi block two repeated fixed burst error correcting linear codes |
| topic | linear codes parity-check matrix 2-repeated burst of length b(fixed) blockwise correction syndromes. |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/792 |
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