m-systems of polar spaces and maximal arcs in projective planes

Shult and Thas have shown in [13] that m-systems of certain finite classica l polar spaces give rise to strongly regular graphs and two weight codes. T he main result of this paper is to show that maximal arcs in symplectic tra nslation planes may be obtained from certain m-systems of finite symplectic polar spaces. Many new examples of maximal arcs are then constructed. Exam ples of m-systems are also constructed in Q(-)(2n + 1,q) and W2n+1(q). A me thod different from that of Shult and Thas is used to construct strongly re gular graphs using "differences" of m-systems.