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Computational problems in supersingular elliptic curve isogenies
, 2018 Steven D. Galbraith⋆ +1 more
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Ghosts and families of abelian varieties with a common isogeny factor
Anna Cadoret, Akio Tamagawa
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Fast computation of higher dimensional isogenies for cryptographic applications
Pierrick Dartois
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Forum Mathematicum, 2002
Summary: Let \(K\) be a field which is finitely generated over its prime field. Consider elliptic curves \(E\) and \(E'\) defined over \(K\). Suppose there exists \(c\geq 1\) and a set \(\Lambda\) of prime numbers such that \([K(E_l,E_l'): K(E_l)\cap K(E_l')]\leq c\) for all \(l\in\Lambda\).
Frey, Gerhard, Jarden, Moshe
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Summary: Let \(K\) be a field which is finitely generated over its prime field. Consider elliptic curves \(E\) and \(E'\) defined over \(K\). Suppose there exists \(c\geq 1\) and a set \(\Lambda\) of prime numbers such that \([K(E_l,E_l'): K(E_l)\cap K(E_l')]\leq c\) for all \(l\in\Lambda\).
Frey, Gerhard, Jarden, Moshe
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1987
We return to p-adic representations. Let A be an elliptic curve defined over K. We take points of A in a fixed algebraic closure Ka. We have the p-adic spaces T p (A) and V p (A) over Z p and Q p respectively.
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We return to p-adic representations. Let A be an elliptic curve defined over K. We take points of A in a fixed algebraic closure Ka. We have the p-adic spaces T p (A) and V p (A) over Z p and Q p respectively.
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Verifiable Isogeny Walks: Towards an Isogeny-Based Postquantum VDF
2022Jorge Chavez-Saab +2 more
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