Abstract-The bit-parallel multiplier over Galois filed arithmetic algorithm and the circuit architecture have been widely studied and implemented in cryptosystem. In this paper, we implement the proposed secure and low-power dual-rail adiabatic logic circuit into the bit-parallel cellular multiplier over GF(2 4 ). The full custom design of the layout has been designed in cadence virtuoso IC6.1 with the chip size of 172×155 m 2 , and the post-layout cyclical power consumption of 14pJ at 12.5MHz using 0.18μm CMOS technology has achieved; while, the well-known conventional TDPL logic in our work using the same technology occupied 183×m 2 of the chip size and 123pJ per cycle. The thoroughly investigation results define that our proposed logic improve energy reduction and the circuit immunity to side-channel attack in the low frequency application, whereas, the TDPL shows the better security performance at high frequency range.Index Terms-Bit-parallel multiplier, adiabatic, low-power, side channel attack, cryptography.