A method includes generating, by processing circuitry of a communications device, a partitioned complementary sequence based on information bits for transmission. The partitioned complementary sequence may include zero-valued elements. The method may include encoding a plurality of symbols on a plurality of orthogonal subcarriers using the partitioned complementary sequence. The encoding may include mapping additional information bits on subcarriers associated with the zero-valued elements of the partitioned complementary sequence. Additionally, the method may include controlling a radio of the communications device to transmit the plurality of symbols on the plurality of orthogonal subcarriers via an antenna of the communications device.