A class of complete arcs in multiply derived planes.
A Necessary and Sufficient Condition for the Existence of an (n,r)-arc in PG(2,q) and Its Applications
ACM Computing Classification System (1998): E.4.Let q be a prime or a prime power ≥ 3. The purpose of this paper is to give a necessary and sufficient condition for the existence of an (n, r)-arc in PG(2, q ) for given integers n, r and q using the geometric structure of points and lines in PG(2, q ) for n > r ≥ 3. Using the geometric method and a computer, it is shown that there exists no (34, 3) arc in PG(2, 17), equivalently, there exists no [34, 3, 31] 17 code.This research was partially...
A unified construction of finite geometries associated with -clans in characteristic 2.
Alcuni problemi di ricerca nelle geometrie di Galois
We present a survey on classical problems of Galois geometries. More precisely we discuss some problems and results about ovals, hyperovals, caps, maximal arcs and blocking sets in projective planes and spaces over Galois fields.
Arcs and Ovals in Derivable Planes.
Arcs with large conical subsets.