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In this paper, a new blind selected mapping (BSLM) scheme is proposed for orthogonal frequency division multiplexing systems. The proposed BSLM scheme embeds the side information identifying a phase sequence into itself by giving the optimal phase offset to the elements of each phase sequence, which are determined by the biorthogonal vectors for the partitioned subblocks. When U phase sequences and maximum likelihood decoder are used, the proposed BSLM scheme reduces the decoding complexity by (U-2)/U compared with the conventional BSLM scheme. Also, pairwise error probability (PEP) analysis for the proposed BSLM scheme is performed over the fading channel. Based on the PEP analysis, the bit error rate (BER) performance of the proposed BSLM scheme is shown to be determined by the subblock partitioning and phase offset. Finally, it is shown that for QPSK and 16-QAM, the detection failure probability and the BER of the proposed BSLM scheme are almost the same as those of the conventional BSLM scheme through numerical analysis.