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This paper proposes the optimum binary to symbol coding for 6PSK (senary PSK) that minimizes bit errors. 6PSK is expected to be able to transmit data at a higher information rate than QPSK with lower required Eb/N0 compared with 8PSK. In this paper, after discussing general principles of 6PSK, the authors propose the optimum 5 bit to 2 symbol coding for 6PSK (2.5bit/symbol). The authors derive a theoretical formula for bit error rate (BER) versus Eb/N0 and simulate performance with and without differential coding. The required Eb/N0 for 6PSK is 1.4dB less than that for 8PSK at BER of 10-6. Penalty of differential coding is estimated about 0.2dB at BER of 10-6. The authors study BER performance of 6PSK in the presence of transmitter nonlinearity. 6PSK still outperforms 8PSK even for a small value of output back-off (OBO).