A family of ovoids in PG(3, 2^m) from cyclic codes

02/10/2018

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by   Cunsheng Ding, et al.

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Ovoids in (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 (3, 2^m) for all m which are from a family of irreducible cyclic codes.