On the cardinality of blocking sets in PG(2,q) |
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Authors: | Luigia Berardi Franco Eugeni |
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Affiliation: | (1) Istituto di Matematica Applicata Facoltà di Ingegneria, 67100 L'Aquila, Italia |
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Abstract: | Denote by PG(2,q) the finite desarguesian projective plane of order q, where q=ph, p a prime, q>2. We define the function m(q) as follows: m(q)=q, if q is a square; m(q)=(q+1)/2, if q is a prime; m(q)=ph–d, if q=ph with h an odd integer, where d denotes the greatest divisor of h different from h. The following theorem is proved: For any integer k with q+m(q)+1 k q2–m(q), there exists a blocking set in PG(2,q) having exactly k elements.To Professor Adriano Barlotti on his 60th birthday.Research partially supported by G.N.S.A.G.A. (CNR) |
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