关于 HSOLSSOM(2~nu^1)的谱(英文)

On the Spectrum of HSOLSSOM(2~nu^1)

本文讨论型为2nt1的有对称正交侣的带洞自正交拉丁方（HSOLSSOM（2nu1））的谱．证明当n≤9时，HSOLSSOM（2nu1）存在的充分必要条件是u为偶数且;当n≥263时，若u为偶数且n≥2（u-2），则HSOLSSOM（2nu1）存在．

In this paper, we study the spectrum of holey self-orthogonal latin square with a symmetric orthogonal mate of type 2nu1 (HSOLSSOM(2nu1)) and show that for n≤9. an HSOLSSOM(2nu1) exists if and only if u is even and for n≥263. an HSOLSSOXI(2nu1) exists if u is even and n≥2(u-2).