Systems and methods for generating random addition chains

Cryptography – Particular algorithmic function encoding – Public key

Reexamination Certificate

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Reexamination Certificate

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07657029

ABSTRACT:
An addition chain is first generated, and then an integer x is derived from it. Doubling and star steps may be implemented in the addition chain. This approach eliminates the computationally expensive step of generating the addition chain from an exponent, and therefore can greatly reduce the computation time of the modular exponentiation.

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