m-systems of polar spaces and maximal arcs in projective planes
m-systems of polar spaces and maximal arcs in projective planes
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DOI：
10.36045/bbms/1103055688
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发表时间：
2000-04
影响因子：
0.5
通讯作者：
Nicholas A. Hamilton;C. T. Quinn
中科院分区：
文献类型：
--
作者：
Nicholas A. Hamilton;C. T. Quinn
Shult和Thas在[13]中证明了某些有限经典极空间的m-系产生强正则图和两个权码。本文的主要结果是证明了从有限辛极空间的某些m-系可以得到辛平移平面上的极大弧。然后构造了许多新的极大弧的例子。M-系的例子也被构造在Q(-)(2n+1，q)和W2n+1(Q)中。利用m-系的“差”构造强正则图的方法不同于Shult和Thas的方法。
Shult and Thas have shown in [13] that m-systems of certain finite classical polar spaces give rise to strongly regular graphs and two weight codes. The main result of this paper is to show that maximal arcs in symplectic translation planes may be obtained from certain m-systems of finite symplectic polar spaces. Many new examples of maximal arcs are then constructed. Examples of m-systems are also constructed in Q(-)(2n + 1,q) and W2n+1(q). A method different from that of Shult and Thas is used to construct strongly regular graphs using "differences" of m-systems.