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ON THE DIMENSION AND MINIMUM DISTANCE OF BCH CODES OVER GF(q) |
Yue Dianwu; Hu Zhengming |
Beijing University of Posts and Telecommunications,Beijing 100088 |
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Abstract At first, a formula for computing the dimension of (narrow-sense, primitive) BCH codes over GF(q) is offered, which is better than the result given by F. J. MacWilliams et al. (1977). then a new method for calculating the dimension of BCH codes is proposed. Moreover, it is proved that BCH bound is a leader of cyclotomic cosets, and it is guessed that the minimum distance of BCH codes is also a leader of cvclotomic cosets.
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Received: 01 November 1994
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