The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.

The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.

Date of Patent:
Mar. 05, 1996

Filed:

Jun. 20, 1994
Applicant:
Inventor:

Atsuko Miyaji, Kawachinagano, JP;

Attorney:
Primary Examiner:
Int. Cl.
CPC ...
H04L / ;
U.S. Cl.
CPC ...
380 30 ; 380 28 ;
Abstract

The present invention provides a method of implementing digital signatures or verification and a privacy communication using the following: (1) choose a positive integer d such that gives an imaginary quadratic field Q{(-d).sup.1/2 } a small class number, and choose a prime number p such that is expressed by 2.sup.t -.alpha. (where .alpha. is a small number), such that either p+1-a or p+1+a is divisible by a prime number, and such that 4p-a.sup.2 =d.multidot.b.sup.2 to construct a finite field GF(p), or a definition filed of an elliptic curve, then construct an elliptic curve over the finite filed GF(p) having a root for a class polynomial H.sub.d (x)=0 modulo GF(p) as j-invariant; (2) construct elliptic curves E.sub.1, E.sub.2, . . . , E.sub.n in such a way that each will be not isomorphic but have a same number of elements to replace an elliptic curve one from the others.


Find Patent Forward Citations

Miyaji, Atsuko. (1996). Method of implementing elliptic curve cryptosystems in digital (U.S. Patent No. 5497423). U.S. Patent and Trademark Office. https://idiyas.com/patent/badge/5497423

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