Arithmetic of Split Kummer Surfaces: Montgomery Endomorphism of Edwards Products.

IWCC'11 Proceedings of the Third international conference on Coding and cryptology（2011）

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摘要

Let E be an elliptic curve, K 1 its Kummer curve E /{±1}, E 2 its square product, and K 2 the split Kummer surface E 2 /{±1}. The addition law on E 2 gives a large endomorphism ring, which induce endomorphisms of K 2 . With a view to the practical applications to scalar multiplication on K 1 , we study the explicit arithmetic of K 2 .

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关键词

split Kummer surface E2,Kummer curve E,elliptic curve,addition law,explicit arithmetic,large endomorphism ring,practical application,square product,Edwards product,montgomery endomorphism,split kummer surface

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