We prove that, for q odd, a set of q+2 points in the projective plane over the field with q elements has at least 2q-c odd secants, where c is a constant and an odd secant is a line incident with an odd number of points of the set.
On sets of points with few odd secants / Ball, Simeon; Csajbok, Bence. - In: COMBINATORICS PROBABILITY & COMPUTING. - ISSN 0963-5483. - STAMPA. - 29:1(2020), pp. 31-43. [10.1017/S0963548319000245]
On sets of points with few odd secants
Csajbok, Bence
2020-01-01
Abstract
We prove that, for q odd, a set of q+2 points in the projective plane over the field with q elements has at least 2q-c odd secants, where c is a constant and an odd secant is a line incident with an odd number of points of the set.File in questo prodotto:
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