THE CLASSIFICATION OF (42,6)(8) ARCS
- Authors
- Betten, Anton; Cheon, Eun Ju; Kim, Seon Jeong; Maruta, Tatsuya
- Issue Date
- May-2011
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- Keywords
- Arc; blocking set; projective plane
- Citation
- ADVANCES IN MATHEMATICS OF COMMUNICATIONS, v.5, no.2, pp 209 - 223
- Pages
- 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN MATHEMATICS OF COMMUNICATIONS
- Volume
- 5
- Number
- 2
- Start Page
- 209
- End Page
- 223
- URI
- https://scholarworks.gnu.ac.kr/handle/sw.gnu/23747
- DOI
- 10.3934/amc.2011.5.209
- ISSN
- 1930-5346
1930-5338
- 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.
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