Cryptographic Method for Securely Implementing an Exponentiation, and an Associated Component
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United States of America Patent
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Issued Date -
May 14, 2009
app pub date -
Jul 13, 2006
filing date -
Jul 13, 2005
priority date (Note) -
Abandoned
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Abstract
mod B, A and B being respectively the exponent and the modular exponentiation EM. The private operation includes the following steps: calculating an intermediate module B*, an intermediate message M* and an intermediate exponent A*, based on B, M and/or A; the intermediate module B* being deterministically calculated and the intermediate message M* being randomly calculated; calculating an intermediate modular exponentiation EM*=MA mod B*; and calculating the signed or decrypted message s based on the intermediate modular exponentiation EM*. An electronic component for implementing the cryptographic method is also disclosed.
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