New Cameron-Liebler line classes with parameter $\frac{q^2+1}{2}$

TL;DR

This paper introduces new Cameron-Liebler line classes in projective space PG(3,q) for odd q ≥ 7, with a specific parameter value, expanding the known families of such classes.

Contribution

The paper constructs novel Cameron-Liebler line classes with parameter (q^2+1)/2 for odd q ≥ 7, providing new examples in finite geometry.

Findings

New Cameron-Liebler line classes constructed for q ≥ 7 odd.

Parameter (q^2+1)/2 for these classes.

Expands the known families of Cameron-Liebler line classes.

Abstract

New families of Cameron-Liebler line classes of ${\rm PG}(3,q)$, $q\ge 7$ odd, with parameter $(q^2+1)/2$ are constructed.