Results 111 to 120 of about 3,965 (252)
On ordinary isogeny graphs with level structures [PDF]
Expositiones mathematicae, 2023 Antonio Lei, Katharina Müller
semanticscholar +1 more source
Supersingular Isogeny Oblivious Transfer
Anais do XIX Simpósio Brasileiro de Segurança da Informação e de Sistemas Computacionais (SBSeg 2019), 2019 Neste artigo, apresentamos um protocolo Oblivious Transfer (OT) que combina um esquema OT juntamente com a primitiva do protocolo Supersingular Isogeny Diffie-Hellman (SIDH). Nossa proposta é um candidato para segurança pós-quântica OT e demonstra que o SIDH naturalmente suporta a funcionalidade OT.
Paulo Barreto +3 more
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Hyper-Kähler Manifolds of Generalized Kummer Type and the Kuga-Satake Correspondence. [PDF]
Milan J Math, 2022 Varesco M, Voisin C.
europepmc +1 more source
Optimal curves differing by a 5-isogeny [PDF]
, 2014 Dongho Byeon, Tae-Kyung Kim
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Loops, Multi-Edges and Collisions in Supersingular Isogeny Graphs [PDF]
, 2021 Wissam Ghantous
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, 2023 Given a finitely generated field extension K of the rational numbers and an abelian variety C over K, we consider the class of all abelian varieties over K which are isogenous (over K) to an abelian subvariety of a power of C. We show that there is a single, naturally constructed abelian variety B in the class whose ring of endomorphisms controls all ...
Rémond, Gaël, Gaudron, Eric
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Isogenies of Polynomial Formal Groups
Journal of Algebra, 1999 A polynomial formal group is a commutative \(n\) dimensional formal group law \(F(x, y) = (F_1(x, y),\dots , F_n(x, y))\) such that the power series in \(n\) variables \(F_i(x, y)\) are polynomials. For \(n=1\), examples are \(F(x, y) = x+y + cxy\). For \(n>1\) see \textit{L. Childs, C. Greither, D. J. Moss, J. Sauerberg} and \textit{K.
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Lattices in Tate modules. [PDF]
Proc Natl Acad Sci U S A, 2021 Poonen B, Rybakov S.
europepmc +1 more source