  Ovoids in $\PG(3, q)$ have been an interesting topic in coding theory,
combinatorics, and finite geometry for a long time. So far only two families
are known. The first is the elliptic quadratics and the second is the Tits
ovoids. In this article, we present a family of ovoids in $\PG(3, 2^m)$ for all
$m$ which are from a family of irreducible cyclic codes.
