An elementary proof and an extension of Thas' theorem on k-arcs
An elementary proof and an extension of Thas' theorem on k-arcs
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DOI：
10.1017/s0305004100077823
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发表时间：
1989-05
影响因子：
0.8
通讯作者：
H. Kaneta;T. Maruta
中科院分区：
文献类型：
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作者：
H. Kaneta;T. Maruta
设q是由q个元素组成的有限域。用Sr q表示q上r维的射影空间。在Sr，q中，其中r ≥ 2，k弧被定义（参见[4]）为一组k个点，使得没有j + 2位于Sj，q中，其中j = 1，2，.，r−1。(For一个k > r的k弧，当j = r−1时，最后一个条件对所有j都成立。在Sr，q中的n阶有理曲线Cn是
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