Results 211 to 220 of about 8,681 (237)

The Isogeny Theorems

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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Improved algorithms for finding fixed-degree isogenies between supersingular elliptic curves

IACR Cryptology ePrint Archive, 2023
Benjamin Bencina, Péter Kutas, Simon-Philipp Merz, Christophe Petit, Miha Stopar, Charlotte Weitkämper   +5 more
semanticscholar   +1 more source

A Lower Bound on the Length of Signatures Based on Group Actions and Generic Isogenies

IACR Cryptology ePrint Archive, 2023
D. Boneh, Jiaxin Guan, Mark Zhandry
semanticscholar   +1 more source

Proving knowledge of isogenies: a survey

Designs, Codes and Cryptography, 2023
Ward Beullens, Luca De Feo, S. Galbraith, C. Petit   +3 more
semanticscholar   +1 more source

Efficient computation of (3n,3n)-isogenies

IACR Cryptology ePrint Archive, 2023
Thomas Decru, Sabrina Kunzweiler
semanticscholar   +1 more source

ISOGENIES AND TORSION OF ELLIPTIC CURVES

Mathematics of the USSR-Izvestiya, 1970
In this paper we prove the uniform boundedness of the set of isogenies of certain classes of elliptic curves. The result obtained is applied to estimate the sum of exponents of torsion.
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SQISign: compact post-quantum signatures from quaternions and isogenies

IACR Cryptology ePrint Archive, 2020
L. D. Feo, D. Kohel, Antonin Leroux, C. Petit, B. Wesolowski   +4 more
semanticscholar   +1 more source

Isogenies in Theory and Praxis

2014
We want to give an overview on arithmetical aspects of abelian varieties and their torsion structures, isogenies, and resulting Galois representations. This is a wide and deep territory with a huge amount of research activity and exciting results ranging from the highlights of pure mathematics like the proof of Fermat’s last theorem to stunning ...
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Fully Projective Radical Isogenies in Constant-Time

The Cryptographer's Track at RSA Conference, 2022
Jesús-Javier Chi-Domínguez, Krijn Reijnders   +1 more
semanticscholar   +1 more source

Isogenies and Congruence Subgroups

1981
Throughout this paper k will denote a number field and V its set of valuations. Let S be any finite set of valuations including ∞, the set of archimedean valuations of k. For each v∈V, kV will denote the completion of k with respect to v and 0V the ring of integers in kV. We denote by A (resp. A(S)) the ring of integers (resp. S-integers) in k (so that
openaire   +2 more sources