On 2-Repeated Burst Codes
There are several kinds of burst errors for which error detecting and error correcting codes have been constructed. In this paper, we consider a new kind of burst error which will be termed as ‘2-repeated burst error of length b(fixed)’. Linear codes capable of detecting such errors have been studie...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2009-12-01
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| Series: | Ratio Mathematica |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/81 |
| _version_ | 1811278907053178880 |
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| author | B. K. Dass Poonam Garg |
| author_facet | B. K. Dass Poonam Garg |
| author_sort | B. K. Dass |
| collection | DOAJ |
| description | There are several kinds of burst errors for which error detecting and error correcting codes have been constructed. In this paper, we consider a new kind of burst error which will be termed as ‘2-repeated burst error of length b(fixed)’. Linear codes capable of detecting such errors have been studied. Further, codes capable of detecting and simultaneously correcting such errors have also been dealt with. The paper obtains lower and upper bounds on the number of parity-check digits required for such codes. An example of such a code has also been provided. |
| first_indexed | 2024-04-13T00:45:13Z |
| format | Article |
| id | doaj.art-2ff2c7c2e10d4d2da014e1b751484d17 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-04-13T00:45:13Z |
| publishDate | 2009-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-2ff2c7c2e10d4d2da014e1b751484d172022-12-22T03:10:02ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142009-12-01191112386On 2-Repeated Burst CodesB. K. Dass0Poonam Garg1Department of Mathematics University of Delhi Delhi - 110 007, IndiaDepartment of Mathematics, Deen Dayal Upadhyaya College, (University of Delhi) Shivaji Marg, Karam Pura, New Delhi - 110 015, IndiaThere are several kinds of burst errors for which error detecting and error correcting codes have been constructed. In this paper, we consider a new kind of burst error which will be termed as ‘2-repeated burst error of length b(fixed)’. Linear codes capable of detecting such errors have been studied. Further, codes capable of detecting and simultaneously correcting such errors have also been dealt with. The paper obtains lower and upper bounds on the number of parity-check digits required for such codes. An example of such a code has also been provided.http://eiris.it/ojs/index.php/ratiomathematica/article/view/81 |
| spellingShingle | B. K. Dass Poonam Garg On 2-Repeated Burst Codes Ratio Mathematica |
| title | On 2-Repeated Burst Codes |
| title_full | On 2-Repeated Burst Codes |
| title_fullStr | On 2-Repeated Burst Codes |
| title_full_unstemmed | On 2-Repeated Burst Codes |
| title_short | On 2-Repeated Burst Codes |
| title_sort | on 2 repeated burst codes |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/81 |
| work_keys_str_mv | AT bkdass on2repeatedburstcodes AT poonamgarg on2repeatedburstcodes |