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A new algorithm for multiplication in finite fields

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1 Author(s)
Pincin, A. ; Siemens Telecommun., Milan, Italy

A new algorithm is presented for computing the product of two elements in a finite field by means of sums and products in a fixed subfield. The algorithm is based on a normal basis representation of fields and assumes that the dimension m of the finite field over the subfield is a highly composite number. A very fast parallel implementation and a considerable reduction in the number of computations are allowed, in comparison to some methods discussed in the literature

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Computers, IEEE Transactions on  (Volume:38 ,  Issue: 7 )