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.
岳殿武; 胡正名. 关于q元BCH码的维数和最小距离[J]. 电子与信息学报, 1996, 18(3): 263-269 .
Yue Dianwu; Hu Zhengming. ON THE DIMENSION AND MINIMUM DISTANCE OF BCH CODES OVER GF(q). , 1996, 18(3): 263-269 .