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On the Weight Enumerators of the Projections of the 2-adic Golay Code of Length 24 to \(\mathbb{Z}_{2^e}\)

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Mathematical Software – ICMS 2014 (ICMS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8592))

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Abstract

Dougherty et al. calculated some of the weight enumerators of the projections of the 2-adic Golay code of length 24 to finite rings [Lifted codes and their weight enumerators, Discrete Mathematics, 305 (2005) 123–135]. In this paper, we calculate the missing values so that we complete the calculation of the weight enumerators of the projections of the 2-adic Golay code of length 24 to all the finite rings.

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References

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Authors and Affiliations

  1. School of Liberal Arts, KoreaTech, Republic of Korea

    Sunghyu Han

Authors
  1. Sunghyu Han
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Editors and Affiliations

  1. Department of Mathematics, North Carolina State University, Box 8205, 27695, Raleigh, NC, USA

    Hoon Hong

  2. Courant Institute, Dept. of Computer Science, New York Institute, 251 Mercer Street, 10012, New York, NY, USA

    Chee Yap

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Han, S. (2014). On the Weight Enumerators of the Projections of the 2-adic Golay Code of Length 24 to \(\mathbb{Z}_{2^e}\) . In: Hong, H., Yap, C. (eds) Mathematical Software – ICMS 2014. ICMS 2014. Lecture Notes in Computer Science, vol 8592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44199-2_19

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  • DOI: https://doi.org/10.1007/978-3-662-44199-2_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44198-5

  • Online ISBN: 978-3-662-44199-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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