Abstract
Bruen and Ott have derived an interesting lower bound on the p-rank of the incidence matrix of a partial linear space. We derive two extensions of their result.
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References
N.L. Biggs, Algebraic Graph Theory, Cambridge University Press, Cambridge (1974).
A.A. Bruen and U. Ott, On the p-rank of incidence matrices and a question of E.S. Lander, in : Finite Geometries and Combinatorial Designs, (eds. E.S. Kramer and S. Magliveras) American Math. Soc., (1990).
G. Hillbrandt, The p-rank of 01-matrices, J. Combinatorial Theory, Series A Vol. 60 (1992) pp. 131–139.
E.S. Lander, Symmetric Designs: An Algebraic Approach, Cambridge University Press, Cambridge (1983).
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Communicated by R.C. Mullin
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De Caen, D., Godsil, C.D. & Royle, G.F. On the p-rank of incidence matrices and a bound of Bruen and Ott. Des Codes Crypt 2, 391–394 (1992). https://doi.org/10.1007/BF00125204
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DOI: https://doi.org/10.1007/BF00125204