Results 81 to 90 of about 1,931 (172)

Modeling of 3- and 5-Isogenies of Supersingular Edwards Curves [PDF]

, 2020
An analysis is made of the properties and conditions for the existence of 3- and 5-isogenies of complete and quadratic supersingular Edwards curves. For the encapsulation of keys based on the SIDH algorithm, it is proposed to use isogeny of minimal odd 3
Sokolov, V. Y., Bessalov, Anatoly, Skladannyi, Pavlo   +2 more
core   +1 more source

Efficient computation of $(3^n,3^n)$-isogenies [PDF]

, 2023
The parametrization of $(3,3)$-isogenies by Bruin, Flynn and Testa requires over 37.500 multiplications if one wants to evaluate a single isogeny in a point. We simplify their formulae and reduce the amount of required multiplications by 94%.
Sabrina Kunzweiler, Thomas Decru
core  

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

Radical isogenies and modular curves [PDF]

, 2023
This article explores the connection between radical isogenies and modular curves. Radical isogenies are formulas designed for the computation of chains of isogenies of fixed small degree $N$, introduced by Castryck, Decru, and Vercauteren at Asiacrypt ...
Valentina Pribanić
core  

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

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

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

Slope classicality in higher Coleman theory via highest weight vectors in completed cohomology. [PDF]

Proc Natl Acad Sci U S A, 2022
Howe S.
europepmc   +1 more source

Global forms of N $$ \mathcal{N} $$ = 4 theories and non-minimal Seiberg-Witten solutions

Journal of High Energy Physics
To each four dimensional N $$ \mathcal{N} $$ ≥ 2 supersymmetric quantum field theory, one can associate an algebraic completely integrable (ACI) system that encodes the low energy dynamics of theory. In this paper we explicitly derive the appropriate ACI
Robert Moscrop
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