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Communication Dans Un Congrès Année : 1998

Algorithms for computing isogenies between elliptic curves

Résumé

The efficient implementation of Schoof's algorithm for computing the cardinality of elliptic curves over finite fields requires the computation of isogenies between elliptic curves. We make a survey of algorithms used for accomplishing this task. When the characteristic of the field is large, P-Weierstrass's functions can be used. When the characteristic of the field is small, we now have three algorithms at our disposal, two due to Couveignes and one to the first author. We treat the same example using these three algorithms and make some comparisons between them.
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Dates et versions

hal-01102041 , version 1 (12-01-2015)

Identifiants

  • HAL Id : hal-01102041 , version 1

Citer

Reynald Lercier, François Morain. Algorithms for computing isogenies between elliptic curves. Computational Perspectives on Number Theory, 1995, Chicago, United States. pp.77-96. ⟨hal-01102041⟩
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