Abstract
Let q be an odd prime power, and PG(n,q) be the projective space of \({\mathbb {F}}_{q}^{n + 1}\). We equip \({\mathbb {F}}_{q}^{n + 1}\) with a nondegenerate quadratic form. The 2-rank of the incidence matrix of anisotropic points versus their corresponding hyperplanes of PG(n,q) is determined for n = 2,3.
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Acknowledgements
Y. Liu’s research was supported by the Foundation of Yancheng Institute of Technology (No. XJ201746).
The authors are grateful to the anonymous referees for careful reading and for invaluable suggestions which improve the quality of the paper.
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Liu, Y., Yan, H. & Liu, C. Incidence Matrices of Finite Quadratic Spaces. Vietnam J. Math. 46, 707–715 (2018). https://doi.org/10.1007/s10013-018-0284-0
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DOI: https://doi.org/10.1007/s10013-018-0284-0