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arXiv 1606.00697math.CO
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可分解Steiner 2-设计与射影平面中的极大弧

On resolvable Steiner 2-designs and maximal arcs in projective planes

Vladimir D. Tonchev

摘要:

证明了可分解Steiner 2- $(v,k,1)$设计可嵌入为$(v-k)/(k-1)$阶射影平面中的极大弧的组合特征,并推广了Andries Brouwer \cite{Br}的一个猜想.

英文摘要:

A combinatorial characterization of resolvable Steiner 2-$(v,k,1)$ designs embeddable as maximal arcs in a projective plane of order $(v-k)/(k-1)$ is proved, and a generalization of a conjecture by Andries Brouwer \cite{Br} is formulated.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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