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Some Results on Quadrics in Finite Projective Geometry Based on Galois Fields

Published online by Cambridge University Press:  20 November 2018

D. K. Ray-Chaudhuri
D. K. Ray-Chaudhuri*
Affiliation:
University of North Carolina and Case Institute of Technology
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In a paper (5) published in the Proceedings of the Cambridge Philosophical Society, Primrose obtained the formulae for the number of points contained in a non-degenerate quadric in PG(n, s), the finite projective geometry of n dimensions based on a Galois field GF(s). In § 3 of the present paper the formulae for the number of p-flats contained in a non-degenerate quadric in PG(n, s) are obtained. In § 4 an interesting property of a non-degenerate quadric in PG(2k, 2m) is proved. These properties of a quadric will be used in solving some combinatorial problems of statistical interest in a later paper.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 14 , 1962 , pp. 129 - 138
Copyright
Copyright © Canadian Mathematical Society 1962

References

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