Journal :   International Journal of Technology

Volume No. :   4

Issue No. :  1

Year :  2014

Pages :   57-61

ISSN Print :  2231-3907

ISSN Online :  2231-3915


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Cosets of Extended BCH Codes of Various Weights



Address:   Anita Pruthi1, N.K.Pruthi2
1PG Department of Mathematics, DAV College, Abohar
2Department of Basic Sciences, Guru Nanak College for Girls, Sri Muktsar Sahib
*Corresponding Author
DOI No:

ABSTRACT:
To control transmission errors in a data communication system, one can use a code in three ways: purely for error detection, purely for error correction, or for a combination of error correction and detection. Error correcting codes have been widely studied in these decades, e.g. see McWilliam and Sloane [1977]. The family of triple-error-correcting binary BCH codes of length n=2m-1 has been thoroughly studied since 1960’s. The weight distribution of these codes was determined by Kasami [1971] for odd m. For even m, method of Kasami didn’t work. Berlekamp [1967, 1978] gave the weight distribution of extended codes for even values of m.
KEYWORDS:
Cosets of Extended BCH Codes of Various Weights
Cite:
Anita Pruthi, N.K.Pruthi. Cosets of Extended BCH Codes of Various Weights. Int. J. Tech. 4(1): Jan.-June. 2014; Page 57-61
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