Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed
Reexamination Certificate
2011-04-19
2011-04-19
Malzahn, David H (Department: 2193)
Electrical computers: arithmetic processing and calculating
Electrical digital calculating computer
Particular function performed
Reexamination Certificate
active
07930335
ABSTRACT:
A reduction operation is utilized in an arithmetic operation on two binary polynomials X(t) and Y(t) over GF(2), where an irreducible polynomial Mm(t)=tm+am−1tm−1+am−2tm−2+ . . . +a1t+a0, where the coefficients aiare equal to either 1 or 0, and m is a field degree. The reduction operation includes partially reducing a result of the arithmetic operation on the two binary polynomials to produce a congruent polynomial of degree less than a chosen integer n, with m≦n. The partial reduction includes using a polynomial M′=(Mm(t)−tm)*tn−m, or a polynomial M″=Mm(t)*tn−mas part of reducing the result to the degree less than n and greater than or equal to m. The integer n can be the data path width of an arithmetic unit performing the arithmetic operation, a multiple of a digit size of a multiplier performing the arithmetic operation, a word size of a storage location, such as a register, or a maximum operand size of a functional unit in which the arithmetic operation is performed.
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Eberle Hans
Goupy Edouard
Gura Nils
Kowert Robert C.
Malzahn David H
Meyertons Hood Kivlin Kowert & Goetzel P.C.
Oracle America Inc.
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