Universal calculation method for application to the points of an ellipse and for use in cryptography, wherein an elliptic curve is represented as a quadratic equation and identical programmed calculations are implemented

摘要

Universal calculation method for calculating using points on an elliptic curve, whereby the elliptic curve is represented as a quadratic equation, and identical programmed calculation means are used to add and double the points as well as for carrying out an addition with a neutral point. The calculation means comprise a central processing unit (2) with an associated memory (4, 6, 8). The invention also relates to use of the calculation method for a scalar multiplication method applied to the points of an elliptic curve, use of the inventive method in cryptography, and an electronic component, especially a chip card, with a cryptographic algorithm based on the inventive method.