Intersection numbers for subspace designs are introduced and q-analogs of the Mendelsohn and Köhler equations are given. As an application, we are able to determine the intersection structure of a putative q-analog of the Fano plane for any prime power q. It is shown that its existence implies the existence of a 2-(7, 3, q4)q subspace design. Furthermore, several simplified or alternative proofs concerning intersection numbers of ordinary block designs are discussed. 1 Introduction an
In a recent paper, two of the authors used polarities in PG(2d − 1, p) (p ≥ 2 prime, d ≥ 2) to const...
AbstractA theorem of D. Leonard, as it appears in Bannai and Ito (Benjamin-Cummings Lecture Note Ser...
An investigation of an open case of the famous conjecture made by Hamada \cite{Hamada1} is carried o...
AbstractK.N. Majumdar has shown that for a 2−(v, k, λ) design D there are three numbers α, τ, and Σ ...
We introduce the block intersection polynomial, which is constructed using certain information about...
We provide a characterization of the classical geometric designs formed by the points and lines of t...
AbstractWe prove the intersection conjecture for designs: For any complete graph Kr there is a finit...
We determine some possible values for the cardinality of the intersection of three blocks from Paley...
We show that a quasi-symmetric design with intersection numbers 1 and y > 1 and a good block belo...
AbstractSuppose that A is a finite set-system of N elements with the property |A ∩ A′| = 0, 1 or k f...
A t-[v,k,Λ ] design in a vector space of dimension v over a finite field is a family of k-subspaces ...
AbstractWe provide a characterization of the classical point-line designs PG1(n,q), where n⩾3, among...
In this paper we examine 2-designs having an intersection number k - n. This intersection number giv...
We prove that every polarity of PG(2k - 1,q), where k≥ 2, gives rise to a design with the same param...
We discuss Ray-Chaudhari and Wilson inequality for a 0-design and give simple proof of the result...
In a recent paper, two of the authors used polarities in PG(2d − 1, p) (p ≥ 2 prime, d ≥ 2) to const...
AbstractA theorem of D. Leonard, as it appears in Bannai and Ito (Benjamin-Cummings Lecture Note Ser...
An investigation of an open case of the famous conjecture made by Hamada \cite{Hamada1} is carried o...
AbstractK.N. Majumdar has shown that for a 2−(v, k, λ) design D there are three numbers α, τ, and Σ ...
We introduce the block intersection polynomial, which is constructed using certain information about...
We provide a characterization of the classical geometric designs formed by the points and lines of t...
AbstractWe prove the intersection conjecture for designs: For any complete graph Kr there is a finit...
We determine some possible values for the cardinality of the intersection of three blocks from Paley...
We show that a quasi-symmetric design with intersection numbers 1 and y > 1 and a good block belo...
AbstractSuppose that A is a finite set-system of N elements with the property |A ∩ A′| = 0, 1 or k f...
A t-[v,k,Λ ] design in a vector space of dimension v over a finite field is a family of k-subspaces ...
AbstractWe provide a characterization of the classical point-line designs PG1(n,q), where n⩾3, among...
In this paper we examine 2-designs having an intersection number k - n. This intersection number giv...
We prove that every polarity of PG(2k - 1,q), where k≥ 2, gives rise to a design with the same param...
We discuss Ray-Chaudhari and Wilson inequality for a 0-design and give simple proof of the result...
In a recent paper, two of the authors used polarities in PG(2d − 1, p) (p ≥ 2 prime, d ≥ 2) to const...
AbstractA theorem of D. Leonard, as it appears in Bannai and Ito (Benjamin-Cummings Lecture Note Ser...
An investigation of an open case of the famous conjecture made by Hamada \cite{Hamada1} is carried o...
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