( 1 ) state the appearance of block design and it ' s resolution . ( 2 ) formulate the history of ols ( orthogonal latin squares ) and show the role that euler ' s conjecture and macneish ' s conjecture on ols played in the progress of study on latin square . ( 3 ) state briefly the motivation that finite projective plan and finite field offer to the development of combinatorial design ( 1 )详述了18世纪中期提出的区组设计问题以及这些问题出现的多种形式及解决方法; ( 2 )对组合设计中正交拉丁方的历史予以阐述,分析了拉丁方问题的研究中欧拉猜想和麦克奈希猜想的作用; ( 3 )简述了有限射影几何及有限域在组合设计中的意义及其对组合设计理论发展的推动作用。