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- W2119367324 abstract "GF(p/sup m/) multiplication is computed in two stages. First, the polynomial product is computed modulus: a highly factorizable degree S polynomial, M(x), with S/spl ges/2/spl middot/m-1. This enables the product to be computed using a polynomial residue number system (PRNS). Second, the result is reduced by the irreducible polynomial, I(x), over which GF(p/sup m/) is defined. Suitable choices for S, M(x) and I(x) are discussed and an iterative method for the factorization of x/sup T/-k polynomials, k /spl epsiv/ GF(p), is presented. Finally, multidimensional PRNS is proposed to solve the upper limit constraint on m, which is dependent on p.< <ETX xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>></ETX>" @default.
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- W2119367324 date "1995-01-01" @default.
- W2119367324 modified "2023-09-27" @default.
- W2119367324 title "GF(p/sup m/) multiplication using polynomial residue number systems" @default.
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- W2119367324 doi "https://doi.org/10.1109/82.475249" @default.
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