Abstract
It is well known that for every finite linear space the number b of lines is greater or equal to the number v of points of the space. In this paper we investigate the relation between the nonnegative integer b - v and suitable configurations of subspaces of a linear space.
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N.G. de Bruijn and P. Erdös, On a combinatorial problem. Nederl. Akad. Wetensch. Proc. Sect. Sci. Vol. 51 (1948), pp. 1277–1279; Indag. Math. Vol. 10 (1948), pp. 421–423.
P. de Witte, On the embedding of linear spaces in projective planes of order n. Unpublished manuscript.
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Communicated by D. Jungnickel
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Melone, N., Ott, U. On the rank of truncated incidence matrices of linear spaces. Des Codes Crypt 2, 307–313 (1992). https://doi.org/10.1007/BF00125199
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DOI: https://doi.org/10.1007/BF00125199