Computing method for elliptic curve cryptography

Details Computing method for elliptic curve cryptography Computing method for elliptic curve cryptography

G - Physics

06

F

G06F 7/72 (2006.01)

Patent

CA 2342737

The invention concerns fast cryptographic method between two entities exchanging data via a non-secure communication channel. The method, for example for forming a common key between two entities (A, B) each having a secret key (a, b) and using a public key (P) formed by a point of an elliptic curve (E), comprises at least a step which consists in multiplying said odd order point (P) by an integer and said phase comprises operations called additions and halving , the latter operation characterising the invention.

Procédé de cryptographie rapide entre deux entités échangeant des informations à travers un canal de communication non sécurisé. Le procédé, par exemple pour la constitution d'une clef commune entre deux entités (A, B) possédant chacune une clef secrète (a, b) et faisant toutes deux appel à une clef publique (P) constituée par un point d'une courbe elliptique (E), comprend au moins une phase consistant à multiplier ledit point (P) d'ordre impair par un entier et cette phase comprend des opérations dites "additions" et "divisions par deux", cette dernière opération étant caractéristique de l'invention.

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