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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Bibliographic Details
Main Author: Pankaj Kumar Das
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/971410
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Summary: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.
ISSN:2314-4629
2314-4785