本原结合方案的模绝对界条件
A modular absolute bound condition for primitive association schemes
摘要:
著名的本原对称结合方案(X,S)的绝对有界条件给出了|X|关于|S|和方案的最小非主重数的上界.本文证明了任意本原格式(X,S)的|X|的另一个上界.它们不依赖于|S|,而是依赖于它的邻接代数KS的一些不变量,其中K是一个代数数域或一个有限域.
英文摘要:
The well-known absolute bound condition for a primitive symmetric association scheme (X,S) gives an upper bound for |X| in terms of |S| and the minimal non-principal multiplicity of the scheme. In this paper we prove another upper bounds for |X| for an arbitrary primitive scheme (X,S). They do not depend on |S| but depend on some invariants of its adjacency algebra KS where K is an algebraic number field or a finite field.
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。