System and method for performing fast algebraic operations on a

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G06F 772

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052709566

ABSTRACT:
A system and method is for performing any one of a plurality of arithmetic operations on a permutation network. An arithmetic expression is input, including a first operand, second operand and an arithmetic operator. The first operand is converted to a first permutation and output to the permutation network. The second operand is converted to a second permutation and is also output to the permutation network. The selected arithmetic operation is performed on the first permutation based upon the second permutation within the permutation network to obtain a resultant permutation. The resultant permutation is then decoded into a resultant value and the resultant value is output.

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"Sorting Networks and Their Applications" K. E. Batcher, 1968, (Reprinted from the Proceeding of AFIPS, SJCC 1968 pp. 307-314).
"Fast Modular Arithmetic on a Permutation Network (Preliminary Version)", A. Oruc, et al; Computer Science Technical Report Series, University of Maryland, Mar. 1990.
"Implementations of a Fast Arithmetic Unit Using Permutation Networks", F. San Miguel et al; Jul. 1990.
Tai et al., "Optical Residue Arithmetic Computer With Programmable Computation Modules", Applied Optics, vol. 18, No. 16, Aug. 1979, pp. 2812-2823.

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