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

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.
Cosets of Extended BCH Codes of Various Weights
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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