两个ｖ阶对称幂等拉丁方称为互不相交的若除对角线外，其余每一位置上的两个元互不相同．ｖ－２个互不相交的ｖ阶对称幂等拉丁方称为ｖ阶ｇｏｌｆ设计．本文证明了对任意大于１的奇数ｖ（ｖ≠５），除去２８个可能的例外值，均存在ｖ阶ｇｏｌｆ设计．

Two svmmetric idempotent Latin squares with order v are called disjoint if theirelements in the same position are different in an offdiagonal.The v一2pairwise disjoint sym-metric idempotent Latin squares with order v are called a Golf design of order v. In this paper,we prove that for any odd v(o> 1 and v≠5)there exists a golf design of order v except 28possible orders.