A complete set of addition laws for twisted jacobi intersection curves |
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| Authors: | Hongfeng Wu Rongquan Feng |
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| Affiliation: | College of Sciences,North China University of Technology,Beijing 100144,China;2.School of Mathematical Sciences and Laboratory of Mathematics and Applied Mathematics (LMAM),Peking University,Beijing 100871,China |
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| Abstract: | A complete system of addition laws on an elliptic curve E is a collection of addition laws with the property that for any pair of points P 1, P 2 on E at least one of the addition laws in the collection can be used to compute P 1+P 2. This paper proposes a complete set of the addition laws for arbitrary twisted Jacobi intersection curve. |
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| Keywords: | elliptic curve twisted Jacobi intersection curve complete addition law point multiplication cryptography |
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