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- W2940462880 abstract "A $(k,k-t)$-SCID (set of Subspaces with Constant Intersection Dimension) is a set of $k$-dimensional vector spaces that have pairwise intersections of dimension $k-t$. Let $mathcal{C}={pi_1,ldots,pi_n}$ be a $(k,k-t)$-SCID. Define $S:=langle pi_1, ldots, pi_n rangle$ and $I:=langle pi_i cap pi_j mid 1 leq i < j leq n rangle$. We establish several upper bounds for $dim S + dim I$ in different situations. We give a spectrum result for the case $(n-1)(k-t)leq k$ and for the case $nleqfrac{q^{t(n-eta)}-1}{q^t-1}$, giving examples of $(k,k-t)$-SCIDs reaching a large interval of values for $dim S + dim I$." @default.
- W2940462880 created "2019-05-03" @default.
- W2940462880 creator A5045471302 @default.
- W2940462880 date "2019-04-25" @default.
- W2940462880 modified "2023-09-25" @default.
- W2940462880 title "Properties of sets of Subspaces with Constant Intersection Dimension" @default.
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