Multiplier for modular exponentiation
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United States of America Patent
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Feb 27, 2007
Grant Date -
Nov 25, 2004
app pub date -
May 19, 2003
filing date -
May 19, 2003
priority date (Note) -
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status (Latency Note)
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Abstract
A method of modular exponentiation includes receiving as input a first number, a second number, and a modulus for calculating a residue of a product of the first number times the second number modulo the modulus; partitioning the first number into a selected number of pieces; calculating a first product of one of the pieces times the second number; adding a previous intermediate result to the first product to generate a first sum; shifting the first sum by a selected number of bit positions to generate a second product; and reducing a bit width of the second product to generate an intermediate result wherein the intermediate result has a bit width that is less than a bit width of the second product and has a residue that is identical to a residue of the second product modulo the modulus.
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