A new family of tight sets in

J De Beule, J Demeyer, K Metsch… - Designs, Codes and …, 2016 - Springer
In this paper, we describe a new infinite family of q^ 2-1 2 q 2-1 2-tight sets in the hyperbolic
quadrics Q^+(5, q) Q+(5, q), for q ≡ 5 or 9\, mod 12 q≡ 5 or 9 mod 12. Under the Klein …

[HTML][HTML] Cameron–Liebler line classes with parameter x= q2− 12

T Feng, K Momihara, Q Xiang - Journal of Combinatorial Theory, Series A, 2015 - Elsevier
In this paper, we give an algebraic construction of a new infinite family of Cameron–Liebler
line classes with parameter x= q 2− 1 2 for q≡ 5 or 9 (mod 12), which generalizes the …

[HTML][HTML] A modular equality for Cameron–Liebler line classes

AL Gavrilyuk, K Metsch - Journal of Combinatorial Theory, Series A, 2014 - Elsevier
In this paper we prove that a Cameron–Liebler line class L in PG (3, q) with parameter x has
the property that (x 2)+ n (n− x)≡ 0 mod q+ 1 for the number n of lines of L in any plane of …

On two non-existence results for Cameron–Liebler k-sets in

J De Beule, J Mannaert, L Storme - Designs, Codes and Cryptography, 2024 - Springer
This paper focuses on non-existence results for Cameron–Liebler k-sets. A Cameron–
Liebler k-set is a collection of k-spaces in PG (n, q) or AG (n, q) admitting a certain parameter …

[HTML][HTML] Open problems in finite projective spaces

JWP Hirschfeld, JA Thas - Finite Fields and Their Applications, 2015 - Elsevier
Apart from being an interesting and exciting area in combinatorics with beautiful results,
finite projective spaces or Galois geometries have many applications to coding theory …

Regular ovoids and Cameron-Liebler sets of generators in polar spaces

M De Boeck, J D'haeseleer, M Rodgers - arXiv preprint arXiv:2310.14739, 2023 - arxiv.org
Cameron-Liebler sets of generators in polar spaces were introduced a few years ago as
natural generalisations of the Cameron-Liebler sets of subspaces in projective spaces. In …

Cameron–Liebler sets of k-spaces in

A Blokhuis, M De Boeck, J D'haeseleer - Designs, Codes and …, 2019 - Springer
Cameron–Liebler sets of k-spaces were introduced recently in Filmus and Ihringer (J
Combin Theory Ser A, 2019). We list several equivalent definitions for these Cameron …

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

JD Beule, J Mannaert, L Storme - Designs, Codes and Cryptography, 2022 - Springer
In this article we generalize the concepts that were used in the PhD thesis of Drudge to
classify Cameron–Liebler line classes in PG (n, q), n≥ 3, to Cameron–Liebler sets of k …

Derivation of Cameron–Liebler line classes

AL Gavrilyuk, I Matkin, T Penttila - Designs, Codes and Cryptography, 2018 - Springer
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[HTML][HTML] An improved bound on the existence of Cameron–Liebler line classes

K Metsch - Journal of Combinatorial Theory, Series A, 2014 - Elsevier
An improved bound on the existence of Cameron–Liebler line classes - ScienceDirect Skip to
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