λ≤5的区传递7-(v, k, λ)设计的存在性(The existence of block-transitive 7-(v, k, λ) designs with λ≤5)

λ≤5的区传递7-(v, k, λ)设计的存在性(The existence of block-transitive 7-(v, k, λ) designs with λ≤5)

1993年，CAMERON和PRAGEGER证明了不存在t>7的非平凡的区传递t-设计，并且猜想不存在非平凡的区传递6设计.然而区传递7-设计的存在性仍然是一个公开的问题.本文研究了这一公开问题，证明了当λ≤5时不存在非平凡的区传递7-（v, k, λ）设计....

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Bibliographic Details
Main Authors: GONGLuo-zhong(龚罗中), LIUWei-jun(刘伟俊)
Format: Article
Language:zho
Published: Zhejiang University Press 2013-07-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
design
block-transitive
cameron-preager conjecture
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2013.04.004

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