Transmission Gate based Reordered Normal Basis Multiplier

This paper introduces the Transmission Gate-based Reordered Normal Basis (TGRNB) multiplier, which is a multiplication algorithm used in finite field arithmetic, It is crucial in many cryptographic applications, which aim to improve the performance and efficiency of Reordered Normal Basis (RNB) multiplications. This multiplier is implemented using transmission gates and compared with static CMOS logic. The TGRNB multiplier utilizes transmission gates, which control the flow of signals in the circuit by allowing efficient implementation by reducing power consumption and increasing overall performance. The main advantage of TGRNB multiplier is its ability to perform operations in parallel, leading to significant speed improvements. Hence, this multiplier offers faster operation, higher power efficiency, and better adaptability compared to the static CMOS implementation.