Every large set of equidistant (0, +1, −1)-vectors forms a sunflower

Every large set of equidistant (0, +1, −1)-vectors forms a sunflower
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每个大的等距 (0, +1, −1) 向量集形成一朵向日葵

DOI:
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发表时间:
1981
期刊:
Comb.
影响因子:
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通讯作者:
P. Frankl
P. Frankl
中科院分区:
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文献类型:
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作者:
M. Deza;P. Frankl

文献摘要

被引文献

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Deza的一个定理断言,如果H1,…,Hm是交于正合元的任意一对的集合,如果m ∈ 2 −s+2,则Hi构成一个Δ-系,即. $$左|{\bigcap\limits_{i = 1}^m {H_i } } \right| = d$$ .换句话说,每个等重的大等距(0,1)码都是平凡的。我们给出这个定理的一个(0,+1,−1)类似物。
AbstractA theorem of Deza asserts that ifH1, ...,Hm ares-sets any pair of which intersects in exactlyd elements and ifm ≧s2 −s+2, then theHi form aΔ-system, i.e. $$\left| {\bigcap\limits_{i = 1}^m {H_i } } \right| = d$$ . In other words, every large equidistant (0, 1)-code of constant weight is trivial. We give a (0, +1, −1) analogue of this theorem.