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Low-complexity bit-parallel canonical and normal basis multipliers for a class of finite fields

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2 Author(s)
C. K. Koc ; Dept. of Electr. & Comput. Eng., Oregon State Univ., Corvallis, OR, USA ; B. Sunar

We present a new low-complexity bit-parallel canonical basis multiplier for the field GF(2m) generated by an all-one-polynomial. The proposed canonical basis multiplier requires m2-1 XOR gates and m2 AND gates. We also extend this canonical basis multiplier to obtain a new bit-parallel normal basis multiplier

Published in:

IEEE Transactions on Computers  (Volume:47 ,  Issue: 3 )