A method and apparatus for cryptographically secure...

H - Electricity – 04 – L

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H04L 9/28 (2006.01) H04L 9/08 (2006.01)

Patent

CA 2320700

The present invention is a method and apparatus for providing cryptographically secure algebraic key establishment protocols that use monoids and groups possessing certain algorithmic properties. Special fast algorithms associated with certain monoids and groups are used to optimize both key (63) agreement and key transport protocols (62). The cryptographic security of the algorithms (23) is based on the difficulty of solving the conjugacy problem in groups and other known hard algebraic problems. Braid groups and their associated algorithms are the basis for highly rapid key agreement and key transport protocols which employ modest computational resources.

L'invention concerne un procédé et un dispositif conçus pour produire des protocoles d'établissement de clés algébriques présentant une sûreté cryptographique et mettant en application des monoïdes et des groupes possédant certaines propriétés algorithmiques. On utilise des algorithmes spéciaux rapides associés à certains monoïdes et à certains groupes afin d'optimiser à la fois les protocoles d'accord et de transport de clés. La sûreté cryptographique de ces algorithmes est basée sur la difficulté de résolution du problème de conjugation dans des groupes et d'autres problèmes algébriques connus et difficiles à résoudre. Des groupes tresses et leurs algorithmes associés constituent la base de protocoles extrêmement rapides de transport et d'accord de clés mettant en application des ressources modestes de calcul.

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