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Hermitian varieties as codewords

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Abstract

We show that the incidence vector of any hermitian variety in the projective geometry PG m−1(F q 2), where q = p t, and p is a prime, is in the code over F p of the symmetric design of points and hyperplanes of the geometry by using the theorem of Delsarte [8] that identifies this code with a nonprimitive generalized Reed-Muller code.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Clemson University, 29634, Clemson, SC, USA

    J. D. Key

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  1. J. D. Key
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Communicated by D. Jungnickel

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Key, J.D. Hermitian varieties as codewords. Des Codes Crypt 1, 255–259 (1991). https://doi.org/10.1007/BF00123765

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  • DOI: https://doi.org/10.1007/BF00123765

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