Cameron-Liebler line classes with parameter x=(q2-1)/2

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 examples found by Rodgers in 26] 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 ) , which is closely related to our Cameron-Liebler line classes.

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