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Isogeny problems with level structure - MaRDI portal

Isogeny problems with level structure (Q6637719)

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scientific article; zbMATH DE number 7943701

Language	Label	Description	Also known as
English	Isogeny problems with level structure	scientific article; zbMATH DE number 7943701

Statements

scholarly article

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Isogeny problems with level structure (English)

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Tako Boris Fouotsa

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publication date

13 November 2024

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zbMATH Keywords

isogenies

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post-quantum

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security reductions

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MaRDI profile type

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On the cost of computing isogenies between supersingular elliptic curves

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Supersingular curves you can trust

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New SIDH countermeasures for a more efficient key exchange

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\textsf{FESTA}: fast encryption from supersingular torsion attacks

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On the representation of positive integers by primitive binary quadratic forms with a non square discriminant.

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A Quantum Algorithm for Computing Isogenies between Supersingular Elliptic Curves

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Fast algorithms for computing isogenies between elliptic curves

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Delay encryption

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A New Algorithm for Factoring Polynomials Over Finite Fields

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An efficient key recovery attack on SIDH

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Weak instances of class group action based cryptography via self-pairings

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CSIDH: an efficient post-quantum commutative group action

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Rational isogenies from irrational endomorphisms

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Breaking the decisional Diffie-Hellman problem for class group actions using genus theory

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A polynomial time attack on instances of M-SIDH and FESTA

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Hidden stabilizers, the isogeny to endomorphism ring problem and the cryptanalysis of pSIDH

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Constructing elliptic curve isogenies in quantum subexponential time

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Orienting supersingular isogeny graphs

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B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion

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Improved classical cryptanalysis of SIKE in practice

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SQIsignHD: new dimensions in cryptography

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Séta: Supersingular Encryption from Torsion Attacks

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SIDH proof of knowledge

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SCALLOP: scaling the CSI-FiSh

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Explicit isogenies in quadratic time in any characteristic

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Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies

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SQISign: compact post-quantum signatures from quaternions and isogenies

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Verifiable delay functions from supersingular isogenies and pairings

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Computing isogenies between supersingular elliptic curves over \(\mathbb {F}_p\)

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Supersingular isogeny graphs and endomorphism rings: reductions and solutions

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Computing endomorphism rings of supersingular elliptic curves and connections to path-finding in isogeny graphs

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M-SIDH and MD-SIDH: countering SIDH attacks by masking information

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Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies

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A Subexponential Algorithm for Evaluating Large Degree Isogenies

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A Subexponential-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem

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Another Subexponential-time Quantum Algorithm for the Dihedral Hidden Subgroup Problem

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A new isogeny representation and applications to cryptography

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A direct key recovery attack on SIDH

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Volcanoes of \(\ell\)-isogenies of elliptic curves over finite fields: the case \(\ell=3^*\)

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A new equidistribution property of norms of ideals in given classes

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The supersingular endomorphism ring and one endomorphism problems are equivalent

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Faster algorithms for isogeny problems using torsion point images

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Breaking SIDH in polynomial time

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Counting points on elliptic curves over finite fields

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Orientations and the supersingular endomorphism ring problem

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Identifiers

10.1007/978-3-031-58754-2_7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6637719

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