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In this article we study Cameron-Liebler line classes in PG$(n,q)$ andAG$(n,q)$, objects also known as boolean degree one functions. ACameron-Liebler line class $\mathcal{L}$ is known to have a parameter $x$ thatdepends on the size of $\mathcal{L}$. One of the main questions onCameron-Liebler line classes is the (non)-existence of these sets for certainparameters $x$. In particularly it is proven in [12] for $n=3$, that theparameter $x$ should satisfy a modular equality. This equality excludes abouthalf of the possible parameters. We generalize this result to a modularequality for Cameron-Liebler line classes in PG$(n,q)$, and AG$(n,q)$respectively. Since it is known that a Cameron-Liebler line class in AG$(n,q)$is also a Cameron-Liebler line class in its projective closure, we end thispaper with proving that the modular equality in AG$(n,q)$ is a strongercondition than the condition for the projective case.

A modular equality for Cameron-Liebler line classes in projective and affine spaces of odd dimension