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 P1, P2 on E at least one of the addition laws in the collection can be used to c...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 P1, P2 on E at least one of the addition laws in the collection can be used to compute P1+P2. This paper proposes a complete set of the addition laws for arbitrary twisted Jacobi intersection curve.展开更多
基金Supported by the National Natural Science Foundation of China (10990011)the Science Research Startup Foundation of North China University of Technology
文摘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 P1, P2 on E at least one of the addition laws in the collection can be used to compute P1+P2. This paper proposes a complete set of the addition laws for arbitrary twisted Jacobi intersection curve.