Dimensions of Some Binary Codes Arising From A Conic in $PG(2,q)$

Peter Sin, Junhua Wu, Qing Xiang

Let $\mathcal{O}$ be a conic in the classical projective plane $PG(2,q)$, where $q$ is an odd prime power. With respect to $\mathcal{O}$, the lines of $PG(2,q)$ are classified as p…