# Solution to Bishnoi's conjecture on minimal t-fold blocking sets of   maximal size

**Authors:** Jeroen Schillewaert

arXiv: 1705.03775 · 2017-05-11

## TL;DR

This paper proves Bishnoi's conjecture that minimal t-fold blocking sets of maximal size in projective planes are either the entire plane minus one point, the complement of a Baer subplane, or a unital.

## Contribution

The paper provides a proof confirming Bishnoi's conjecture, classifying all minimal t-fold blocking sets of maximal size in projective planes.

## Key findings

- Confirmed Bishnoi's conjecture.
- Classified maximal minimal t-fold blocking sets.
- Established conditions for such sets in projective planes.

## Abstract

Bishnoi conjectured that if a minimal t-fold blocking set in a projective plane of prime power order has maximal size then it is either a projective plane minus one point, the complement of a Baer subplane or a unital. In this note we prove this conjecture.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1705.03775/full.md

## References

5 references — full list in the complete paper: https://tomesphere.com/paper/1705.03775/full.md

---
Source: https://tomesphere.com/paper/1705.03775