caa a22 4500 386385610 CHVBK 20180307112057.0 cr unu---uuuuu 161130e198905 xx s 000 0 eng 10.1017/S0305004100077823 doi S0305004100077823 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100077823 An elementary proof and an extension of Thas' theorem on k-arcs [Elektronische Daten] Let q be the finite field of q elements. Denote by Sr q the projective space of dimension r over q. In Sr,q, where r ≥ 2, a k-arc is defined (see [4]) as a set of k points such that no j + 2 lie in a Sj,q, for j = 1,2, , r−1. (For a k-arc with k > r, this last condition holds for all j when it holds for j = r−1.) A rational curve Cn of order n in Sr,q, is the set Copyright © Cambridge Philosophical Society 1989 Kaneta Hitoshi Department of Mathematics, Okayama University, Okayama 700, Japan Maruta Tatsuya Department of Mathematics, Okayama University, Okayama 700, Japan Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/3(1989-05), 459-462 0305-0041 105:3<459 1989 105 PSP https://doi.org/10.1017/S0305004100077823 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100077823 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kaneta Hitoshi Department of Mathematics, Okayama University, Okayama 700, Japan NATIONALLICENCE 700 1- Maruta Tatsuya Department of Mathematics, Okayama University, Okayama 700, Japan NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/3(1989-05), 459-462 0305-0041 105:3<459 1989 105 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge