This paper proposes a secret sharing scheme based on high-rate systematic LDPC codes constructed using a novel construction method. In this scheme, the encoding of the LDPC code is employed to distribute secret shares. The minimal authorized sets are associated with the submatrices used in the code construction process, and secrets are reconstructed through the minimal authorized sets. The proposed construction method allows for the design of share distribution matrices with arbitrary girth, enabling effective control over the size of minimal authorized sets. Experimental results demonstrate that this scheme is simple, secure, and feasible, making it applicable to multi-participant secret sharing and related fields.