Oberthur Technologies

Idemia France

Alberto Battistello

Christophe Giraud

Guillaume Dabosville

Laurie Genelle

Luk Bettale

Guillaume Barbu

Franck Rondepierre

Nicolas Debande

Sarah Lopez

A cryptographic processing method comprises the following steps:

Cryptographic processing method, related electronic device and computer program

Generation of a message m of order &#x3bb;(n) for a test of the integrity of the generation of a pair of cryptographic keys within the multiplicative group of integers modulo n=p&#xb7;q, including: &#x2014;key pair generation including, to generate p and q: a random selection of candidate integers; and a primality test; &#x2014;a first search of the multiplicative group of integers modulo p for a generator a; &#x2014;a second search of the multiplicative group of integers modulo q for a generator b; &#x2014;a third search for a number y, as message m, verifying: 1&#x2264;&#x3b3;&#x2264;n&#x2212;1, where &#x3b3;=a mod p and &#x3b3;=b mod q, the first or second search being performed during the primality test.

Message generation for a cryptographic key generation test

Method for generating a pair of public and private cryptographic keys in the additive group of integers modulo n, where n is the product of two prime numbers p and q, the method including the following steps:

Generation of cryptographic keys

Method of integrity verification of cryptographic key pairs, the method including an integrity test with:

Integrity verification of cryptographic key pairs

Method of integrity verification of public and private cryptographic key pairs in the additive group of integers modulo n, with n being the product of two prime numbers p and q, the method including the following steps:

Growing community of inventors

Colombes, France

Alberto Battistello