On unitals with many Baer sublines

S.M. Ball, A. Blokhuis, C.M. O'Keefe

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)


We identify the points of PG(2, q) ith the directions of lines in GF(q 3), viewed as a 3-dimensional affine space over GF(q). Within this frameork we associate to a unital in PG(2, q) a certain polynomial in to variables, and show that the combinatorial properties of the unital force certain restrictions on the coefficients of this polynomial. In particular, if q = p 2 where p is prime then e show that a unital is classical if and only if at least (q - 2) Öqq secant lines meet it in the points of a Baer subline.
Original languageEnglish
Pages (from-to)237-252
Number of pages16
JournalDesigns, Codes and Cryptography
Issue number1/2/3
Publication statusPublished - 1999


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