Disclosed is a BSLM method of generating U independent alternative symbol sequences by changing a phase of symbol sequences by phase sequences and transmitting the alternative symbol sequences with a PAPR to lower the PARR of a transmission signal of a transmitter in an OFDM system. The transmitter uses m-sequences as the phase sequence and a receiver uses an ML decoder to distinguish the phase sequence. The BSLM method includes rotating phases in blocks according to the m-sequences used in the respective symbol sequences, selecting a signal sequence with a minimum PAPR among U alternative signal sequences generated by the m-sequences in the transmitter, and partitioning U alternative symbol sequences into U/2 blocks in the transmitter. Block partitioning and predetermined phase rotation are used to embed side information in an alternative signal sequence, and the BSLM scheme may be extended to a BPTS. Since low decoding complexity is given while detecting side information, the same BER performance is obtained as that of the conventional BSLM scheme in the AWGN channel.