Research Explorer

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Researcher

Wouter Castryck

Awards & Distinctions

37 Results

2023

An infinite class of Neumaier graphs and non-existence results

Aida AbiadWouter CastryckMaarten De BoeckJack H. KoolenSjanne Zeijlemaker

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

2022

Breaking the decisional Diffie–Hellman problem for class group actions using genus theory : extended version

Wouter CastryckJana SotákováFrederik Vercauteren

A1 Journal Article in JOURNAL OF CRYPTOLOGY

Multiradical isogenies

Wouter CastryckThomas Decru

Bookchapter in Arithmetic, gometry, cryptography, and coding theory 2021: 18th International Conference Arithmetic, Geometry, Cryptography, and Coding Theory May 31–June 4, 2021 Centre International de Rencontres Mathématiques, Marseille, France

On the decisional Diffie–Hellman problem for class group actions on oriented elliptic curves

Wouter CastryckMarc HoubenFrederik VercauterenBenjamin Wesolowski

A2 Journal Article in RESEARCH IN NUMBER THEORY

2021

A fusion algorithm for solving the hidden shift problem in finite abelian groups

Wouter CastryckAnn DoomsCarlo EmerenciaAlexander Lemmens

2020

A framework for cryptographic problems from linear algebra

Carl BootlandWouter CastryckAlan SzepieniecFrederik Vercauteren

A2 Journal Article in JOURNAL OF MATHEMATICAL CRYPTOLOGY

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

Wouter CastryckJana SotákováFrederik Vercauteren

CSIDH on the surface

Wouter CastryckThomas Decru

Canonical syzygies of smooth curves on toric surfaces

Wouter CastryckFilip CoolsJeroen DemeyerAlexander Lemmens

A1 Journal Article in JOURNAL OF PURE AND APPLIED ALGEBRA

Efficiently processing complex-valued data in homomorphic encryption

Carl BootlandWouter CastryckIlia IliashenkoFrederik Vercauteren

A2 Journal Article in JOURNAL OF MATHEMATICAL CRYPTOLOGY

Hash functions from superspecial genus-2 curves using Richelot isogenies

Wouter CastryckThomas DecruBenjamin Smith

A2 Journal Article in JOURNAL OF MATHEMATICAL CRYPTOLOGY

Lifting low-gonal curves for use in Tuitman’s algorithm

Wouter CastryckFloris Vermeulen

On the security of the multivariate ring learning with errors problem

Carl BootlandWouter CastryckFrederik Vercauteren

Radical isogenies

Wouter CastryckThomas DecruFrederik Vercauteren

Bookchapter in Advances in cryptology : ASIACRYPT 2020 : 26th International Conference on the Theory and Application of Cryptology and Information Security, Daejeon, South Korea, December 7–11, 2020, Proceedings, Part II

Rational isogenies from irrational endomorphisms

Wouter CastryckLorenz PannyFrederik Vercauteren

The dimension growth conjecture, polynomial in the degree and without logarithmic factors

Wouter CastryckRaf CluckersPhilip DittmannKien Huu Nguyen

A1 Journal Article in ALGEBRA & NUMBER THEORY

2019

Computing graded Betti tables of toric surfaces

Wouter CastryckFilip CoolsJeroen DemeyerAlexander Lemmens

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

New bounds for exponential sums with a non-degenerate phase polynomial

Wouter CastryckKien Huu Nguyen

A1 Journal Article in JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

2018

CSIDH : an efficient post-quantum commutative group action

Wouter CastryckTanja LangeChloe MartindaleLorenz PannyJoost Renes

Homomorphic SIM2D operations : single instruction much more data

Wouter CastryckIlia IliashenkoFrederik Vercauteren

Point counting on curves using a gonality preserving lift

Wouter CastryckJan Tuitman

A1 Journal Article in QUARTERLY JOURNAL OF MATHEMATICS

Translating between the roots of the identity in quantum computers

Wouter CastryckJeroen DemeyerAlexis De VosOliver KeszoczeMathias Soeken

2017

A lower bound for the gonality conjecture

Wouter Castryck

A1 Journal Article in MATHEMATIKA

Faster homomorphic function evaluation using non-integral base encoding

Charlotte BonteCarl BootlandJoppe W BosWouter CastryckIlia IliashenkoFrederik Vercauteren

Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory

Yves AubryWouter CastryckSudhir R GhorpadeGilles LachaudMichael E O’SullivanSamrith Ram

Intrinsicness of the Newton polygon for smooth curves on ℙ¹ x ℙ¹

Wouter CastryckFilip Cools

A1 Journal Article in REVISTA MATEMATICA COMPLUTENSE

Linear pencils encoded in the Newton polygon

Wouter CastryckFilip Cools

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Privacy-friendly forecasting for the smart grid using homomorphic encryption and the group method of data handling

Joppe W BosWouter CastryckIlia IliashenkoFrederik Vercauteren

2016

On error distributions in ring-based LWE

Wouter CastryckIlia IliashenkoFrederik Vercauteren

A1 Journal Article in LMS JOURNAL OF COMPUTATION AND MATHEMATICS

Provably weak instances of ring-LWE revisited

Wouter CastryckIlia IliashenkoFrederik Vercauteren

The holomorphy conjecture for nondegenerate surface singularities

Wouter CastryckDenis IbadulaAnn Lemahieu

A1 Journal Article in NAGOYA MATHEMATICAL JOURNAL

2015

A combinatorial interpretation for Schreyer's tetragonal invariants

Wouter CastryckFilip Cools

A1 Journal Article in DOCUMENTA MATHEMATICA

A minimal set of generators for the canonical ideal of a nondegenerate curve

Wouter CastryckFilip Cools

A1 Journal Article in JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY

The lattice size of a lattice polygon

Wouter CastryckFilip Cools

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

2014

Constraints on counterexamples to the Casas-Alvero conjecture and a verification in degree 12

Wouter CastryckRobert LaterveerMyriam Ounaïes

A1 Journal Article in MATHEMATICS OF COMPUTATION

Curves in characteristic 2 with non-trivial 2-torsion

Wouter CastryckMarco StrengDamiano Testa

A1 Journal Article in ADVANCES IN MATHEMATICS OF COMMUNICATIONS

New equidistribution estimates of Zhang type

Wouter CastryckÉtienne FouvryGergely HarcosEmmanuel KowalskiPhilippe MichelPaul NelsonEytan PaldiJános PintzAndrew V SutherlandTerence Tao et al.

A1 Journal Article in ALGEBRA & NUMBER THEORY