Research Explorer

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Researcher

Jan De Beule

Awards & Distinctions

65 Results

2025

On two non-existence results for Cameron-Liebler k-sets in PG(n,q)

Jan De BeuleJonathan MannaertLeo Storme

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

2023

On large partial ovoids of symplectic and Hermitian polar spaces

Michela CeriaJan De BeuleFrancesco PaveseValentino Smaldore

A1 Journal Article in JOURNAL OF COMBINATORIAL DESIGNS

2022

A modular equality for Cameron-Liebler line classes in projective and affine spaces of odd dimension

Jan De BeuleJ. Mannaert

A1 Journal Article in FINITE FIELDS AND THEIR APPLICATIONS

An algebraic approach to Erdős-Ko-Rado sets of flags in spherical buildings

Jan De BeuleSam MattheusKlaus Metsch

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

Cameron–Liebler k-sets in subspaces and non-existence conditions

Jan De BeuleJonathan MannaertLeo Storme

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

2019

On the cylinder conjecture

Jan De BeuleJeroen DemeyerSam MattheusPeter Sziklai

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

The minimum size of a linear set

Jan De BeuleGeertrui Van de Voorde

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

2018

A combinatorial characterisation of embedded polar spaces

Jan De BeuleMaarten De Boeck

A1 Journal Article in DISCRETE MATHEMATICS

2017

New non-existence proofs for ovoids of Hermitian polar spaces and hyperbolic quadrics

John BambergJan De BeuleFerdinand Ihringer

A1 Journal Article in ANNALS OF COMBINATORICS

On subsets of the normal rational curve

Simeon BallJan De Beule

A1 Journal Article in IEEE TRANSACTIONS ON INFORMATION THEORY

On the smallest non-trivial tight sets in Hermitian polar spaces

Jan De BeuleKlaus Metsch

A1 Journal Article in ELECTRONIC JOURNAL OF COMBINATORICS

Towards generic scalable parallel combinatorial search

Blair ArchibaldPatrick MaierRobert StewartPhil TrinderJan De Beule

2016

A new family of tight sets in Q+(5,q)

Jan De BeuleJeroen DemeyerKlaus MetschMorgan Rodgers

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

Blocking and double blocking sets in finite planes

Jan De BeuleTamas HegerTamas SzonyiGeertrui Van de Voorde

A1 Journal Article in ELECTRONIC JOURNAL OF COMBINATORICS

2014

Direction problems in affine spaces

Editorial: Special issue on finite geometries in honor of Frank De Clerck

John BambergJan De BeuleNicola DuranteMichel Lavrauw

Editorial material

2013

On the structure of the directions not determined by a large affine point set

Jan De BeulePéter SziklaiMarcella Takáts

A1 Journal Article in JOURNAL OF ALGEBRAIC COMBINATORICS

Sets of generators blocking all generators in finite classical polar spaces

Jan De BeuleAnja HallezKlaus MetschLeo Storme

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

The known maximal partial ovoids of size q²-1 of Q(4,q)

Kris CoolsaetJan De BeuleAlessandro Siciliano

A1 Journal Article in JOURNAL OF COMBINATORIAL DESIGNS

2012

A characterisation result on a particular class of non-weighted minihypers

Jan De BeuleAnja HallezLeo Storme

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

Current research topics in Galois geometry

On sets of vectors of a finite vector space in which every subset of basis size is a basis II

Simeon BallJan De Beule

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

2011

Constructions and characterizations of classical sets in PG(n,q)

Frank De ClerckNicola Durante

Bookchapter in Current research topics in Galois geometry

Finite semifields

Michel LavrauwOlga Polverino

Bookchapter in Current research topics in Galois geometry

Galois geometries and coding theory

Ivan LandjevLeo Storme

Bookchapter in Current research topics in Galois geometry

Galois geometries and low-density parity-check codes

Marcus GreferathCornelia RößingLeo Storme

Bookchapter in Current research topics in Galois geometry

Large caps in projective Galois spaces

Jürgen BierbrauerYves Edel

Bookchapter in Current research topics in Galois geometry

Substructures of finite classical polar spaces

Jan De BeuleAndreas KleinKlaus Metsch

Bookchapter in Current research topics in Galois geometry

2010

Almost-classical quantum computers

Michiel BoesAlexis De VosJan De Beule

Galois geometries and applications

Galois geometries and applications

Jan De BeuleYves EdelEmilia KasperAndreas KleinSvetla NikovaBart PreneelJeroen SchillewaertLeo Storme

Editorial material

In memoriam, Andras Gacs

Simeon BallJan De BeuleLeo StormePeter SziklaiTamas Szonyi

2009

Computing with the square root of NOT

Alexis De VosJan De BeuleLeo Storme

A2 Journal Article in SERDICA JOURNAL OF COMPUTING

Tight sets, weighted m-covers, weighted m-ovoids, and minihypers

Jan De BeuleGovaerts PatrickAnja HallezLeo Storme

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

2008

A non-existence result on Cameron-Liebler line classes

Jan De BeuleAnja HallezLeo Storme

A1 Journal Article in JOURNAL OF COMBINATORIAL DESIGNS

Characterization results on arbitrary non-weighted minihypers and on linear codes meeting the Griesmer bound

Jan De BeuleK MetschLeo Storme

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

Characterization results on weighted minihypers and on linear codes meeting the G(r)iesmer bound

Jan De BeuleK MetschLeo Storme

A1 Journal Article in ADVANCES IN MATHEMATICS OF COMMUNICATIONS

Complete arcs on the parabolic quadric Q(4, q)

Jan De BeuleA GACS

A1 Journal Article in FINITE FIELDS AND THEIR APPLICATIONS

Partial ovoids and partial spreads in finite classical polar spaces

Jan De BeuleAndreas KleinKlaus MetschLeo Storme

A2 Journal Article in SERDICA MATHEMATICAL JOURNAL

Partial ovoids and partial spreads in hermitian polar spaces

Jan De BeuleAndreas KleinKlaus MetschLeo Storme

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

Partial ovoids and partial spreads in symplectic and orthogonal polar spaces

Jan De BeuleAndreas KleinK MetschLeo Storme

A1 Journal Article in EUROPEAN JOURNAL OF COMBINATORICS

2007

Characterization results on arbitrary (non-)weighted minihypers and on linear codes meeting the Griesmer bound

Jan De BeuleK MetschLeo Storme

Characterization results on minihypers on quadrics and applications

Anja HallezJan De BeuleLeo Storme

Characterization results on small blocking sets of the polar spaces Q(+) (2n+1,2) and Q(+) (2n+1,3)

Jan De BeuleK MetschLeo Storme

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

Characterization results on weighted minihypers and on linear codes meeting the Griesmer bound

Leo StormeJan De BeuleK Metsch

The maximum size of a partial spread in H(5, q²) is q³+1

Jan De BeuleK Metsch

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

2006

Blocking all generators of Q(+)(2n+1,3), n >= 4

Jan De BeuleLeo Storme

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

2005

Minimal blocking sets of size q(2)+2 of Q(4, q), q an odd prime, do not exist

Jan De BeuleK Metsch

A1 Journal Article in FINITE FIELDS AND THEIR APPLICATIONS

New classification results for a certain class of weighted minihypers

Jan De BeuleLeo Storme

On the smallest minimal blocking sets of Q(2n, q), for q an odd prime

Jan De BeuleLeo Storme

A1 Journal Article in DISCRETE MATHEMATICS

The Hermitian variety H(5,4) has no ovoid

Jan De BeuleK Metsch

A1 Journal Article in BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

The smallest point sets that meet all generators of H(2n, q(2))

Jan De BeuleK Metsch

A1 Journal Article in DISCRETE MATHEMATICS

The two smallest minimal blocking sets of Q(2n, 3), n >= 3

Jan De BeuleLeo Storme

A1 Journal Article in BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

2004

On the size of minimal blocking sets of Q(4,q), for q=5,7

Jan De BeuleAlbert HoogewijsLeo Storme

A2 Journal Article in ACM SIGSAM Bulletin

Small point sets that meet all generators of Q(2n,p), p > 3 prime

Jan De BeuleK Metsch

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

2003

Maximal partial spreads of T-2(O) and T-3(O)

MR BrownJan De BeuleLeo Storme

A1 Journal Article in EUROPEAN JOURNAL OF COMBINATORICS

Minimal t-covers and maximal t-spreads of polar spaces

The smallest minimal blocking sets of Q(2n+2,q), for small odd q

The smallest minimal blocking sets of Q(6, q), q even

Jan De BeuleLeo Storme

A1 Journal Article in JOURNAL OF COMBINATORIAL DESIGNS

The smallest sets of points meeting every generator of H(2n,q^2)

2002

An application of {delta(q+1),delta;n,q}-minihypers on generalized quadrangles

On the smallest minimal blocking sets of Q(2n,q)

The smallest minimal blocking sets of Q(2n,q), for small odd q

The smallest minimal blocking sets of Q(6,q), q even

2001

Partial spreads of T2(O)