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(3,2m) for all m which are from a family of irreducible cyclic codes.
@article{arxiv.1802.03534,
title = {A family of ovoids in PG(3, 2^m) from cyclic codes},
author = {Cunsheng Ding},
journal= {arXiv preprint arXiv:1802.03534},
year = {2018}
}