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Division polynomials for arbitrary isogenies

open access: yesResearch in Number Theory
Abstract Following work of Mazur-Tate and Satoh, we extend the definition of division polynomials to arbitrary isogenies of elliptic curves, including those whose kernels do not sum to the identity. In analogy to the classical case of division polynomials for multiplication-by-n, we demonstrate recurrence relations, identities ...
openaire   +4 more sources

Calamari and Falafl: Logarithmic (Linkable) Ring Signatures from Isogenies and Lattices

open access: yesIACR Cryptology ePrint Archive, 2020
Ward Beullens   +2 more
semanticscholar   +1 more source

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