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BCH codes are an important class of cyclic codes, and have wide applicantionsin communication and storage systems. However, it is difficult to determine theparameters of BCH codes and only a few cases are known. In this paper, wemainly study three classes of BCH codes with$n=q^{m}-1,\frac{q^{2s}-1}{q+1},\frac{q^{m}-1}{q-1}$. On one hand, weaccurately give the parameters of $\mathcal C_{(q,n,\delta,1)}$ and its dualcodes. On the other hand, we give the sufficient and necessary conditions for$\mathcal C_{(q,n,\delta,2)}$ being dually-BCH codes.

Three classes of BCH codes and their duals