English

On the Structure of the $q$-Fano Plane

Combinatorics 2015-08-25 v2

Abstract

The qq-Fano plane is the qq-analog of the Steiner system S(2,3,7)S(2,3,7). For any given prime power qq it is not known whether the qq-Fano plane exists or not. We consider the structure of the qq-Fano plane for any given qq and conclude that most of its structure is known. Even so, we were unable to determine whether it exists or not. A special attention is given for the case q=2q=2 which was considered by most researchers before.

Keywords

Cite

@article{arxiv.1508.01839,
  title  = {On the Structure of the $q$-Fano Plane},
  author = {Tuvi Etzion},
  journal= {arXiv preprint arXiv:1508.01839},
  year   = {2015}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1507.08503