Normal Basis Multipliers of General Digit Width Applicable in ECC

We present two architectures of digit-serial normal basis multiplier over GF(2^m). The multipliers were derived from the multiplier of Agnew et al. Proposed multipliers are scalable by the digit width of general value in difference of the multiplier of Agnew et al. that may be scaled only by digit width that divides the degree m. This helps designers to trade area for speed e.g. in public-key cryptographic systems based on elliptic-curves, where m should be a prime number. Functionality of multipliers has been tested by simulation and implemented in Xilinx Virtex 4 FPGA