An infinite family of type (m,n) sets in PG(2,q2), q a square |
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| Authors: | Marialuisa J de Resmini |
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| Institution: | 1. Istituto Matematico “G. Castelnuovo”, Università di Roma, 00185, Rome, Italy
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| Abstract: | A k-set of type (m,n), with k=(q+√q+1)(q2?q+1), m= 1+√q, n=q+√q+1, is proved to exist in a Galois plane PG(2,q2), q a square, and its construction is given. Thus, its complement, i.e. a ((q?√q)(q+√q+1)(q2?q+1); √q(q√q?√q?1),√q(q √q?1))-set, exists too. The special case q=16 is considered and the points of a (91;3,7)-set in PG(2,16) are exhibited. A generalization is given. |
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