In this paper, we give an algebraic construction of a new infinite family of Cameron-Liebler line classes with parameter x=2q2−1 for q≡5 or 9(mod12), which generalizes the examples found by Rodgers in \cite{rodgers} through a computer search. Furthermore, in the case where q is an even power of 3, we construct the first infinite family of affine two-intersection sets in AG(2,q).
Cite
@article{arxiv.1406.6526,
title = {Cameron-Liebler line classes with parameter $x=\frac{q^2-1}{2}$},
author = {Tao Feng and Koji Momihara and Qing Xiang},
journal= {arXiv preprint arXiv:1406.6526},
year = {2015}
}