Derivation of Cameron-Liebler line classes

Abstract

We construct a new infinite family of Cameron-Liebler line classes in $PG(3,q)$ with parameter $x=\frac{q^2+1}{2}$ for all odd $q$.

References in corpus (1)

• Cameron-Liebler line classes

Cited by in corpus (11)

• Cameron-Liebler sets of generators in finite classical polar spaces
• Equitable partitions of Latin-square graphs
• Cameron-Liebler Line Classes with parameter $x=\frac{(q+1{)}^2}{3}$
• Cameron-Liebler line classes in $\mathrm{PG}(3,5)$
• Cameron-Liebler $k$-sets in $\text{AG}(n,q)$
• Cameron-Liebler sets of k-spaces in PG(n,q)
• Cameron-Liebler line classes of $\mathrm{PG}(3,q)$ admitting $\mathrm{PGL}(2,q)$
• Cameron-Liebler sets in Hamming graphs
• Cameron-Liebler sets in bilinear forms graphs
• The degree of functions in the Johnson and q-Johnson schemes
• Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces