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METHOD FOR UNIVERSAL CALCULATION APPLIED TO POINTS OF AN ELLIPTIC CURVE DEFINED BY A QUARTIC, RELATED CRYPTOGRAPHIC METHOD AND ELECTRONIC COMPONENT
METHOD FOR UNIVERSAL CALCULATION APPLIED TO POINTS OF AN ELLIPTIC CURVE DEFINED BY A QUARTIC, RELATED CRYPTOGRAPHIC METHOD AND ELECTRONIC COMPONENT
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机译:应用于椭圆曲线点的通用计算方法,经二次方,相关密码学方法和电子元件定义
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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.
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