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High peak-to-average power ratio (PAPR) is a conc in orthogonal frequency division multiplexing (OFDM) systems. Had-amard based selected mapping (HSLM) which uses Hadamard code as the phase sequence in selected mapping (SLM) is an attractive technique to reduce PAPR. But it requires sending side information (SI) to the receiver for each data block, and this results in a reduc-tion in bandwidth efficiency. In this paper, we proposed a modified PAPR reduction method called semi-Hadamard based selected mapping (semi-HSLM) to decouple the phase informa-tion matrix into a phase rotation matrix for PAPR reduction and a SI matrix for side infor-mation hiding. We proposed a semi-hadamard matrix generation method to generate the phase rotation matrix, and designed a cyclic shift matrix as the SI matrix. Compared with the traditional HSLM, the semi-HSLM saves half of the phase storage and achieves good PAPR reduction performance.