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On ( k, n; f ) – arcs of type (1, n) in PG(2, 9) | ||
| Journal of College of Education for Pure Science | ||
| Article 1, Volume 2, Issue 3, 2012, Pages 77-85 | ||
| Author | ||
| Mohammed Y. Abass | ||
| Abstract | ||
| In this paper we discussed the existence of ( k, n; f ) – arcs of type ( 1, n ) in the projective plane of order nine; when Im( f ) = { 0, 1, } and 1< < n, where , i.e. n = 4 or 10. For this purpose we use the technique in reference [12] and we deduced the example (19, 4; f ) – arc of type (1, 4) when = 2, and we have an ordinary (13, 4) – arc of type (1, 4) in PG(2, 9), when = 3. Also we have the examples ( 46, 10; f ) – arc when = 2 and the monoidal ( 11, 10; f ) – arc when = 9, which is of type ( 1, 10 ) in PG( 2, 9 ). Also we proved there are no ( k, 10; f ) – arcs of type (1, 10), in PG(2, 9), for other values of ( ≠ 2 and 9 ) . | ||
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