Weight Distribution of Periodic Errors and Optimal/Anti-Optimal Linear Codes
The paper discusses weight distribution of periodic errors and then the optimal case on bounds of parity check digits for (n=n1+n2, k) linear codes over GF(q) that corrects all periodic errors of order r in the first block of length n1 and all periodic errors of order s in the second block of length...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/971410 |
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| _version_ | 1832559898807762944 |
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| author | Pankaj Kumar Das |
| author_facet | Pankaj Kumar Das |
| author_sort | Pankaj Kumar Das |
| collection | DOAJ |
| description | The paper discusses weight distribution of periodic errors and then the optimal case on bounds of parity check digits for (n=n1+n2, k) linear codes over GF(q) that corrects all periodic errors of order r in the first block of length n1 and all periodic errors of order s in the second block of length n2 and no others. Further, we extend the study to the case when the errors are in the form of periodic errors of order r (and s) or more in the two subblocks. |
| format | Article |
| id | doaj-art-56f57755aee6478689202dccdd024ab4 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-56f57755aee6478689202dccdd024ab42025-02-03T01:28:56ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/971410971410Weight Distribution of Periodic Errors and Optimal/Anti-Optimal Linear CodesPankaj Kumar Das0Department of Mathematics, Shivaji College, University of Delhi, Raja Garden, New Delhi 110027, IndiaThe paper discusses weight distribution of periodic errors and then the optimal case on bounds of parity check digits for (n=n1+n2, k) linear codes over GF(q) that corrects all periodic errors of order r in the first block of length n1 and all periodic errors of order s in the second block of length n2 and no others. Further, we extend the study to the case when the errors are in the form of periodic errors of order r (and s) or more in the two subblocks.http://dx.doi.org/10.1155/2014/971410 |
| spellingShingle | Pankaj Kumar Das Weight Distribution of Periodic Errors and Optimal/Anti-Optimal Linear Codes Journal of Mathematics |
| title | Weight Distribution of Periodic Errors and Optimal/Anti-Optimal Linear Codes |
| title_full | Weight Distribution of Periodic Errors and Optimal/Anti-Optimal Linear Codes |
| title_fullStr | Weight Distribution of Periodic Errors and Optimal/Anti-Optimal Linear Codes |
| title_full_unstemmed | Weight Distribution of Periodic Errors and Optimal/Anti-Optimal Linear Codes |
| title_short | Weight Distribution of Periodic Errors and Optimal/Anti-Optimal Linear Codes |
| title_sort | weight distribution of periodic errors and optimal anti optimal linear codes |
| url | http://dx.doi.org/10.1155/2014/971410 |
| work_keys_str_mv | AT pankajkumardas weightdistributionofperiodicerrorsandoptimalantioptimallinearcodes |