Constructing Cycles in Isogeny Graphs of Supersingular Elliptic Curves

Constructing Cycles in Isogeny Graphs of Supersingular Elliptic Curves

Loops and cycles play an important role in computing endomorphism rings of supersingular elliptic curves and related cryptosystems. For a supersingular elliptic curve E defined over 𝔽p2, if an imaginary quadratic order O can be embedded in End(E) and a prime L splits into two principal ideals in O,...

Bibliográfalaš dieđut
Váldodahkkit:	Xiao Guanju, Luo Lixia, Deng Yingpu
Materiálatiipa:	Artihkal
Giella:	English
Almmustuhtton:	De Gruyter 2021-05-01
Ráidu:	Journal of Mathematical Cryptology
Fáttát:	elliptic curves isogeny graphs loops cycles 11g05 11g15 14h52 94a60
Liŋkkat:	https://doi.org/10.1515/jmc-2020-0029

Geahča maid

Orienting supersingular isogeny graphs
Dahkki: Colò Leonardo, et al.
Almmustuhtton: (2020-10-01)

Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
Dahkki: De Feo Luca, et al.
Almmustuhtton: (2014-09-01)

On the supersingular GPST attack
Dahkki: Basso Andrea, et al.
Almmustuhtton: (2021-09-01)

Constructing elliptic curve isogenies in quantum subexponential time
Dahkki: Childs Andrew, et al.
Almmustuhtton: (2014-02-01)

Isolated elliptic curves and the MOV attack
Dahkki: Scholl Travis
Almmustuhtton: (2017-10-01)

Hash functions from superspecial genus-2 curves using Richelot isogenies
Dahkki: Castryck Wouter, et al.
Almmustuhtton: (2020-08-01)

Isogenies on twisted Hessian curves
Dahkki: Perez Broon Fouazou Lontouo, et al.
Almmustuhtton: (2021-03-01)

Algebraic approaches for solving isogeny problems of prime power degrees
Dahkki: Takahashi Yasushi, et al.
Almmustuhtton: (2020-11-01)

Elliptic curve and k-Fibonacci-like sequence
Dahkki: Zakariae Cheddour, et al.
Almmustuhtton: (2023-07-01)

Multiparty Non-Interactive Key Exchange and More From Isogenies on Elliptic Curves
Dahkki: Boneh Dan, et al.
Almmustuhtton: (2020-06-01)

Digital Signature in Class Group of Isogenies Elliptic Curves
Dahkki: J. V. Gel, et al.
Almmustuhtton: (2010-03-01)

A new method of choosing primitive elements for Brezing–Weng families of pairing-friendly elliptic curves
Dahkki: Yoon Kisoon
Almmustuhtton: (2015-03-01)

CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION
Dahkki: ANTONIO LEI, et al.
Almmustuhtton: (2019-01-01)

Generating pairing-friendly elliptic curve parameters using sparse families
Dahkki: Fotiadis Georgios, et al.
Almmustuhtton: (2018-06-01)

Average Analytic Ranks of Elliptic Curves over Number Fields
Dahkki: Tristan Phillips
Almmustuhtton: (2025-01-01)

On the Search for Supersingular Elliptic Curves and Their Applications
Dahkki: Ismel Martinez-Diaz, et al.
Almmustuhtton: (2025-01-01)

COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
Dahkki: ANDREW V. SUTHERLAND
Almmustuhtton: (2016-01-01)

Groups of generalized G‐type and applications to torsion subgroups of rational elliptic curves over infinite extensions of Q
Dahkki: Harris B. Daniels, et al.
Almmustuhtton: (2019-12-01)

An efficient post-quantum KEM from CSIDH
Dahkki: Qi Mingping
Almmustuhtton: (2022-06-01)

Reduction of Kummer surfaces modulo 2 in the non-supersingular case
Dahkki: Christopher Lazda, et al.
Almmustuhtton: (2023-03-01)

Torsion subgroups of rational Mordell curves over some families of number fields
Dahkki: Gužvić Tomislav, et al.
Almmustuhtton: (2022-05-01)

How to Compute an Isogeny on the Extended Jacobi Quartic Curves?
Dahkki: Łukasz Dzierzkowski, et al.
Almmustuhtton: (2022-09-01)

Quasi-subfield Polynomials and the Elliptic Curve Discrete Logarithm Problem
Dahkki: Huang Ming-Deh, et al.
Almmustuhtton: (2020-06-01)

Equidistribution Among Cosets of Elliptic Curve Points in Intervals
Dahkki: Kim Taechan, et al.
Almmustuhtton: (2020-08-01)

A strategy for elliptic curve primality proving
Dahkki: Kiss Gyöngyvér
Almmustuhtton: (2015-12-01)

Rational torsion points on abelian surfaces with quaternionic multiplication
Dahkki: Jef Laga, et al.
Almmustuhtton: (2024-01-01)

Protecting ECC Against Fault Attacks: The Ring Extension Method Revisited
Dahkki: Joye Marc
Almmustuhtton: (2020-08-01)

Group structure of elliptic curves over ℤ/Nℤ
Dahkki: Sala Massimiliano, et al.
Almmustuhtton: (2024-02-01)

On the non-idealness of cyclotomic families of pairing-friendly elliptic curves
Dahkki: Sha Min
Almmustuhtton: (2014-12-01)

On initial value problem for elliptic equation on the plane under Caputo derivative
Dahkki: Binh Tran Thanh, et al.
Almmustuhtton: (2023-10-01)

Complete verification of strong BSD for many modular abelian surfaces over ${\mathbf {Q}}$
Dahkki: Timo Keller, et al.
Almmustuhtton: (2025-01-01)

Efficient Commutative PQC Algorithms on Isogenies of Edwards Curves
Dahkki: Anatoly Bessalov, et al.
Almmustuhtton: (2024-08-01)

The most efficient indifferentiable hashing to elliptic curves of j-invariant 1728
Dahkki: Koshelev Dmitrii
Almmustuhtton: (2022-12-01)

Post-earnings announcement drift: Evidence from Turkey
Dahkki: Aykut Ahlatcıoğlu, et al.
Almmustuhtton: (2021-03-01)

Codes parameterized by the edges of a bipartite graph with a perfect matching
Dahkki: Sarabia Manuel González, et al.
Almmustuhtton: (2023-03-01)

Rational points on intersections of cubic and quadric hypersurfaces
Dahkki: Browning, T, et al.
Almmustuhtton: (2015)

On Types of Elliptic Pseudoprimes
Dahkki: L. Babinkostova, et al.
Almmustuhtton: (2021-02-01)

Arithmetic Using Compression on Elliptic Curves in Huff’s Form and Its Applications
Dahkki: Robert Dryło, et al.
Almmustuhtton: (2021-05-01)

CM liftings of $K3$ surfaces over finite fields and their applications to the Tate conjecture
Dahkki: Kazuhiro Ito, et al.
Almmustuhtton: (2021-01-01)

Chow groups and L-derivatives of automorphic motives for unitary groups, II.
Dahkki: Chao Li, et al.
Almmustuhtton: (2022-01-01)