The classification of $(42,6)_8$ arcs

Anton Betten, Eun Jeong Cheon, Seon Hyeog Kim, Tatsuya Maruta

Type: Article

Publication Date: 2011-05-01

Citations: 4

DOI: https://doi.org/10.3934/amc.2011.5.209

Abstract

It is known that $42$ is the largest size of a $6$-arc in the Desarguesian projective plane of order $8$. In this paper, we classify these $(42,6)_8$ arcs. Equivalently, we classify the smallest $3$-fold blocking sets in PG$(2,8)$, which have size $31$.

Locations

Advances in Mathematics of Communications - View - PDF

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