正交表L_(12)(3~1×2~4)、L_(24)(3~1×2^(16))和L_(24)(4~1×3~1×2^(13))

ORTHOGONAL TABLES L_(12)(3~1×2~4), L_(24)(3~1×2^(16)) AND L_(24)(4~1×3~1×2^(13))

本文用高等代数知识,证明正交表L_(12)(3~1×2~4)是最大的,即L_(12)(3~1×2~5)不存在.

In this paper, we prove the orthogonal table L_(12)(3~1×2~4) is maximal, i.e.L_(12)(3~1×2~5) does not exist by higher algebra knowledge.