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Efficient Normal Basis Multipliers in Composite Fields
October 2000 (vol. 49 no. 10)
pp. 1133-1138

Abstract—It is well-known that a class of finite fields $GF(2^n)$ using an optimal normal basis is most suitable for a hardware implementation of arithmetic in finite fields. In this paper, we introduce composite fields of some hardware-applicable properties resulting from the normal basis representation and the optimal condition. We also present a hardware architecture of the proposed composite fields including a bit-parallel multiplier.

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Index Terms:
Finite field, composite field, optimal normal basis, bit-parallel multiplier.
Sangho Oh, Chang Han Kim, Jongin Lim, Dong Hyeon Cheon, "Efficient Normal Basis Multipliers in Composite Fields," IEEE Transactions on Computers, vol. 49, no. 10, pp. 1133-1138, Oct. 2000, doi:10.1109/12.888054
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