Generalized hyperfocused arcs in PG(2,p)

A. Blokhuis, G. Marino, F. Mazzocca

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)


A generalized hyperfocused arc H in PG(2,q) is an arc of size k with the property that the k(k-1)/2 secants can be blocked by a set of k-1 points not belonging to the arc. We show that if q is a prime and H is a generalized hyperfocused arc of size k, then k=1, 2 or 4. Interestingly, this problem is also related to the (strong) cylinder conjecture ( Problem 919), as we point out in the last section. Keywords: hyperfocused arc; dual 3-net
Original languageEnglish
Pages (from-to)506-513
Number of pages8
JournalJournal of Combinatorial Designs
Issue number12
Publication statusPublished - 2014


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