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The Weight Enumerator of the Code of the Projective Plane of Order 5

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Abstract

We outline the determination of the weight enumerator of the code of the projective plane of order 5 by hand. The main tools used are a version of Gleason's theorem on the enumerators of self-dual codes and geometric descriptions of codewords of low weight. This paper is in part a condensation of the companion paper (Nota di Mat.) that contains full details.

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Authors and Affiliations

  1. Department of Mathematics, University of Virginia, Charlottesville, VA, 22903-3199, U.S.A

    Gary McGuire & Harold N. Ward

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  1. Gary McGuire
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  2. Harold N. Ward
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McGuire, G., Ward, H.N. The Weight Enumerator of the Code of the Projective Plane of Order 5. Geometriae Dedicata 73, 63–77 (1998). https://doi.org/10.1023/A:1005088712217

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  • DOI: https://doi.org/10.1023/A:1005088712217

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