Method and device for executing a decrypting mechanism through calculating a standardized modular exponentiation for thwarting timing attacks
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United States of America Patent
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Apr 2, 2002
Grant Date -
N/A
app pub date -
Sep 15, 1998
filing date -
Sep 16, 1997
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Expired
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Abstract
An encrypting exponentiation modulo M is effected by a modular multiplication X*YmodM, where M is a temporally steady but instance-wise non-uniform modulus. The method involves an iterative series of steps. Each step executes one or two first multiplications to produce a first result, and a trim-down reduction of the size of the first result by one or more second multiplications to produce a second result. The method furthermore takes a distinctive measure for keeping the final result of each step below a predetermined multiplicity of the modulus. In particular, the method postpones substantially any subtraction of the modulus as pertaining to the measure to a terminal phase of the modular exponentiation. This is possible through choosing in an appropriate manner one or more parameters figuring in the method. This further maintains overall temporal performance.
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