Results 91 to 100 of about 4,641 (196)

Oblivious signature based on the theory of elliptic curve isogeny

Научно-технический вестник информационных технологий, механики и оптики
This paper presents a novel 1-out-of-n post-quantum oblivious signature scheme based on supersingular elliptic curve isogenies. The proposed scheme is built upon the Commutative Supersingular Isogeny based Fiat-Shamir scheme whose security relies on the ...
A. F. Khutsaeva
doaj   +1 more source

Isogeny graphs and Isogeny Volcanoes

, 2020
\textit{Isogeny graphs} are a type of graphs, where the vertices represent elliptic curves and the edges represent isogenies. I will examine some of the structures of these graphs in this thesis. It turns out that the majority of the components of such a graph will be \textit{volcanoes}, see \cref{defn:pvolcano}.
openaire   +1 more source

On Ribet’s isogeny for $J_0(65)$

Proceedings of the American Mathematical Society, 2018
Let $J^{65}$ be the Jacobian of the Shimura curve attached to the indefinite quaternion algebra over $\mathbb{Q}$ of discriminant $65$. We study the isogenies $J_0(65)\rightarrow J^{65}$ defined over $\mathbb{Q}$, whose existence was proved by Ribet.
Klosin, K., Papikian, M.
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Isogeny Problems with Level Structure

Given two elliptic curves and the degree of an isogeny between them, finding the isogeny is believed to be a difficult problem—upon which rests the security of nearly any isogeny-based scheme. If, however, to the data above we add information about the behavior of the isogeny on a large enough subgroup, the problem can become easy, as recent ...
Luca De Feo, Tako Boris Fouotsa, Lorenz Panny   +2 more
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Orienteering with One Endomorphism. [PDF]

Mathematica (N Y), 2023
Arpin S, Chen M, Lauter KE, Scheidler R, Stange KE, Tran HTN.   +5 more
europepmc   +1 more source

Analysis of the applicability of existing secret separation schemes in the post-quaternary era

Научно-технический вестник информационных технологий, механики и оптики
Modern approaches to secret sharing have been examined, encompassing both classical and post-quantum cryptographic schemes. The study explores methods for distributing secret information among multiple participants using various mathematical primitives ...
E. F. Kustov, S. V. Bezzateev
doaj   +1 more source

dCTIDH: Fast & Deterministic CTIDH

Transactions on Cryptographic Hardware and Embedded Systems
This paper presents dCTIDH, a CSIDH implementation that combines two recent developments into a novel state-of-the-art deterministic implementation. We combine the approach of deterministic variants of CSIDH with the batching strategy of CTIDH, which ...
Fabio Campos, Andreas Hellenbrand, Michael Meyer, Krijn Reijnders   +3 more
doaj   +1 more source

POKEx: Performance Analysis of POKÉ-Key Exchange and SIDH-Variants

IEEE Access
In this paper, we present a comparative performance analysis of the POKÉ-based key exchange and SIDH variants. SIDH gained attention for its small key size and efficient performance, and has been selected as an alternate candidate in NIST PQC ...
Hyeonhak Kim, Suhri Kim
doaj   +1 more source

On isogenies of elliptic curves

Glasnik matematički, 2000
We give a characterization of ellptic curves which are isogenous over two different quadratic extensions of a fixed number field.
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Automorphisms of the supersingular isogeny graph

Finite Fields and Their Applications
We provide a condition for which the supersingular $l$-isogeny graph in characteristic $p$ has only one nontrivial automorphism, given by the action of Frobenius. For a fixed $p$, our condition is known to hold for a density 1 set of primes $l$.
openaire   +4 more sources