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In this paper, we study LCD BCH codes over the finite field GF(q) with two types of lengths n, where n = q l + 1 and n = (q l + 1)/(q + 1). Several classes of LCD BCH codes are given and their parameters are determined or bounded by exploring the cyclotomic cosets modulo n. For n = q l + 1, we determine the dimensions of the codes with designed distance δ, where q l+1 2 + 1 ≤ δ ≤ q l+3 2 + 1. For n = (q l + 1)/(q + 1), the dimensions of the codes with designed distance δ are presented, where 2 ≤ δ ≤ q l−1 2 + 1.

In this paper, a family of reducible cyclic codes over F p whose duals have four zeros is presented, where p is an odd prime. Furthermore, the weight distribution of these cyclic codes is determined.

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