Asymmetrical cryptographic communication method and portable...

Details Asymmetrical cryptographic communication method and portable... Asymmetrical cryptographic communication method and portable...

H - Electricity

04

L

H04L 9/30 (2006.01) H04L 9/32 (2006.01)

Patent

CA 2216607

An asymmetrical cryptographic communication method establishing correspondence between a first value (x) represented by n elements (x1,....,xn) of a ring (A) and a second value (y) represented by m elements (y1,....,ym) of the ring, where n and m are integers of at least 2. Said correspondence is defined by multivariable public polynomials (Pi) of A<n+m+k> }A, having a small total degree, to give equations such as Pi(x1,....,xn; y1,....,ym; z1,.....,zk) = 0, where (z1,.....,zk) are optional intermediate variables and k is an integer; and at least most of the polynomials (Pi) do not have the form Ti(y1,....,ym) = Si(x1,....,xn), where Si would be polynomials with a total degree of 2 and Ti would be polynomials with a total degree of 1. A related portable object is also disclosed.

L'invention concerne un procédé de communication cryptographique asymétrique établissant une correspondance entre une première valeur (x) représentée par n éléments (x1,....,x n) d'un anneau (A) et une seconde valeur (y) représentée par m éléments (y1,....,y m) de cet anneau, n et m étant des entiers supérieurs ou égaux à 2 Selon l'invention: ladite correspondance est définie par des polynômes publics multivariables (P i) de A n+m+k .fwdarw. A de degré total petit, tels que l'on ait des équations du type P i(x1,....,x n; y1,....,yn,; z1,.....,z k) - 0, où (z1,.....,z k) sont d'éventuelles variables intermédiaires et k est un entier; au moins la plupart des polynômes (P i) ne sont pas de la forme T i(y1,....,y m) = S i{x 1,....,x n), où les S i seraient des polynômes de degré total 2 et les T i seraient des polynômes de degré total 1. L'invention concerne aussi un objet portatif associé.

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