Cyclotomic polynomial construction of discrete logarithm...

Details Cyclotomic polynomial construction of discrete logarithm... Cyclotomic polynomial construction of discrete logarithm...

H - Electricity

04

L

H04L 9/30 (2006.01)

Patent

CA 2280775

Cyclotomic polynomials are used to construct subgroups of multiplicative groups of finite fields that allow very efficient implementation of discrete logarithm based public key cryptosystems, including public key encryption schemes and digital signature schemes. A field is represented with an optimal normal basis, and a generator of a subgroup of the multiplicative group of the field is used to form a public key.

Selon l'invention, des fonctions polynomiales cyclotomiques sont utilisées pour la construction de sous-groupes de groupes multiplicatifs de corps finis qui permettent une mise en oeuvre très efficace de systèmes cryptographiques à clé publique fondés sur un logarithme discret, comprenant des systèmes de cryptage à clé publique et des systèmes de signature numérique. Un corps est représenté avec une base normale optimale, et un générateur d'un sous-groupe du groupe multiplicatif du corps est utilisé pour former une clé publique.

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