GF(2^m) Multiplication and Division Over the Dual Basis

  title={GF(2^m) Multiplication and Division Over the Dual Basis},
  author={S.T.J. Fenn and Mohammed Benaissa and David Taylor},
  journal={IEEE Trans. Computers},
In this paper an algorithm for GF(2/sup m/) multiplication/division is presented and a new, more generalized definition of duality is proposed. From these the bit-serial Berlekamp multiplier is derived and shown to be a specific case of a more general class of multipliers. Furthermore, it is shown that hardware efficient, bit-parallel dual basis multipliers can also be designed. These multipliers have a regular structure, are easily extended to different GF(2/sup m/) and hence suitable for VLSI… 

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