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Computing large polynomial products using modular arithmetic

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2 Author(s)
Skavantzos, A. ; Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA ; Mitash, N.

The polynomial residue number system (PRNS) has been proven to be a system in which totally parallel polynomial multiplication can be achieved, provided that arithmetic takes place in some carefully chosen ring. However, such a system has a major limitation: the size of the ring used is proportional to the size of the polynomials to be multiplied. As a result, in order to multiply large polynomials in a fixed size ring, one must involve 2-D PRNS techniques. Such 2-D PRNS techniques are summarized

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Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:39 ,  Issue: 4 )