Abstract: The present invention relates to a method for managing the memory of a secure microcircuit, including steps executed by the microcircuit of: forming a data block with executable code and/or data stored in a volatile memory of the microcircuit, and to be backed up outside the microcircuit, calculating a signature of the data block using a first signature key, inserting the calculated signature of the data block into a signature block, obtaining a current value of a non-volatile counter internal to the microcircuit, calculating a signature of the signature block associated with the current value of the internal counter, using a second signature key, and sending outside the microcircuit, the data block, the signature block and the signature of the signature block.

Abstract: Fast scalar multiplication operations are disclosed for use in an elliptic curve cryptographic system The operations use binary representations of a secret key and points on an elliptic curve defined over a prime field expressed in a coordinate system (e.g., Jacobian coordinates). The operations can be based on a modified Montgomery ladder that uses modified Meloni addition formulas. The operations can be more efficient than a double-and-add operation, and can be more resistant to side-channel attacks by hackers.

Abstract: Fast scalar multiplication operations are disclosed for use in an elliptic curve cryptographic system The operations use binary representations of a secret key and points on an elliptic curve defined over a prime field expressed in a coordinate system (e.g., Jacobian coordinates). The operations can be based on a modified Montgomery ladder that uses modified Meloni addition formulas. The operations can be more efficient than a double-and-add operation, and can be more resistant to side-channel attacks by hackers.