Results 61 to 70 of about 160 (151)
Weakly special threefolds and nondensity of rational points
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We verify part of a conjecture of Campana predicting that rational points on the weakly special nonspecial simply connected smooth projective threefolds constructed by Bogomolov–Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces
Finn Bartsch +2 more
wiley +1 more source
Oblivious signature based on the theory of elliptic curve isogeny
Научно-технический вестник информационных технологий, механики и оптикиThis 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
Efficient Commutative PQC Algorithms on Isogenies of Edwards Curves
CryptographyThe article presents the author’s works in the field of modifications and modeling of the Post-Quantum Cryptography (PQC) Commutative Supersingular Isogeny Diffie-Hellman (CSIDH) algorithm on non-cyclic supersingular Edwards curves and its predecessor ...
Anatoly Bessalov +2 more
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
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 +2 more
openaire +2 more sources
Orienteering with One Endomorphism. [PDF]
Mathematica (N Y), 2023 Arpin S +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 оптикиModern 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
Automorphisms of the supersingular isogeny graph
Finite Fields and Their ApplicationsWe 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 +3 more sources
dCTIDH: Fast & Deterministic CTIDH
Transactions on Cryptographic Hardware and Embedded SystemsThis 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 +3 more
doaj +1 more source
POKEx: Performance Analysis of POKÉ-Key Exchange and SIDH-Variants
IEEE AccessIn 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