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On the rank of truncated incidence matrices of linear spaces

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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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References

  1. 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.

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  2. P. de Witte, On the embedding of linear spaces in projective planes of order n. Unpublished manuscript.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Universita degli Studi di Napoli, Corso Umberto 1, 80138, Naples, Italy

    Nicola Melone

  2. Technische Universitaet Braunschweig Institut für Geometrie, 3300 Braunschweig, 14, Pockelsstr, Germany

    Udo Ott

Authors
  1. Nicola Melone
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  2. Udo Ott
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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

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