Method for encrypting a message through the computation of mathematical functions comprising modular multiplications

摘要

An embodiment concerns a method for encrypting a message through a cryptographic algorithm including a computation of a mathematical function including the computation of one or more modular multiplications. Such a cryptographic algorithm has a respective module. The method, carried out with an electronic device, includes: providing a first parameter; generating a random number; calculating a Montgomery parameter based on said first parameter and on a integer multiple of said random number; generating a representation of the message to be encrypted in a Montgomery domain through a Montgomery conversion function applied to the message and to the Montgomery parameter; carrying out the calculation of the mathematical function on the message represented in the Montgomery domain.

主权项

1. An apparatus, comprising:
calculator circuitry configured to calculate a randomized number and a first parameter representative of an operation of squaring of a Montgomery number co-prime of a module of a cryptographic algorithm and eater than the module, wherein the calculator circuitry is further operable to calculate a Montgomery parameter based on the first parameter and an integer multiple of the randomized number; converter circuitry configured to generate a representation of a message to be encrypted in a Montgomery domain through a Montgomery conversion function applied to the message and to the Montgomery parameter; and coder circuitry configured to encrypt the representation of the message in the Montgomery domain.