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Generalization of (k, n;ƒ)–arcs of Type (1, n) in PG(2, q) | ||
| basrah journal of science | ||
| Article 1, Volume 31, Issue 1, 2013, Pages 65-75 PDF (0 K) | ||
| Authors | ||
| Zainab A. Abudljebar; Fuad. K. Hameed; Habeeb M. Abood | ||
| Abstract | ||
| The main purpose of this paper is to generalize the paper entitled "( k, n; ƒ)- arcs of type (1, n) in PG(2, q)". We generalized the conditions and results of the existence of a (k, n; ƒ)– arcs of type (1, n) in PG(2, q) and we used this generalization to construct a (k, n; ƒ ) – arcs of type (m, n) in PG(2, q) . In particular a (9, 6; f)- arc of type (2, 6), when the points of weight 0 form (12, 4)-arc and a (7, 6; f )-arc of type (2, 6), when the points of weight 0 form (14, 4)-arc in PG(2, 4). Finally, we proved there is no (k, n; ƒ) – arcs of type (2,4) in PG(2,4) for points of maximum weights are 3 and 4. | ||
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