论文标题
三元代码，双翼音以及某些准对称和准3设计的不存在
Ternary codes, biplanes, and the nonexistence of some quasi-symmetric and quasi-3 designs
论文作者
论文摘要
双皮亚剩余设计的三元线性代码在56点上用来证明准对象2- $ 2- $（56,12,9）$（56,12,9）$和2- $（57,12,11）$（57,12,11）$的设计，具有0和3的相互作用数量为0和3的相互作用，且无X $ 2- $（267，167,12）quasistence quasistencence undxistentive quasistence novelyxistentive quasiancentive。还证明了2- $（149,37,9）$ quasi-3设计的不存在。
The dual codes of the ternary linear codes of the residual designs of biplanes on 56 points are used to prove the nonexistence of quasi-symmetric 2-$(56,12,9)$ and 2-$(57,12,11)$ designs with intersection numbers 0 and 3, and the nonexistence of a 2-$(267,57,12)$ quasi-3 design. The nonexistence of a 2-$(149,37,9)$ quasi-3 design is also proved.
