For p an odd prime such that 4 divides p-3, an interesting example of a plane arc of size 4(p-1) in the projective plane over the finite field with p^2 elements GF(p^2) is constructed. Such an arc turns out to be complete provided that p is less than or equal to 31.

A small complete a arc in PG(2,q), q = p^2 , p ≡ 3 (mod 4).

GIULIETTI, Massimo;UGHI, Emanuela
1999-01-01

Abstract

For p an odd prime such that 4 divides p-3, an interesting example of a plane arc of size 4(p-1) in the projective plane over the finite field with p^2 elements GF(p^2) is constructed. Such an arc turns out to be complete provided that p is less than or equal to 31.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/155969
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