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Mass Formula for Even Codes over

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Cryptography and Coding (IMACC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5921))

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Abstract

In this paper, we establish a mass formula for even codes over . In particular, a formula giving the total number of distinct Type II self-dual codes over of length n is established for each positive integer n divisible by 8.

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References

  1. Bannai, E., Dougherty, S.T., Harada, M., Oura, M.: Type II Codes, Even Unimodular Lattices and Invariant Rings. IEEE Trans. Inform. Theory 45, 1194–1205 (1999)

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Author information

Authors and Affiliations

  1. Graduate School of Science and Technology, Hirosaki University, Hirosaki, 036-8561, Japan

    Koichi Betsumiya

  2. Graduate School of Information Sciences, Tohoku University, Sendai, 980–8579, Japan

    Rowena Alma L. Betty & Akihiro Munemasa

Authors
  1. Koichi Betsumiya
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  2. Rowena Alma L. Betty
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  3. Akihiro Munemasa
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Editor information

Editors and Affiliations

  1. The Selmer Centre Department of Informatics, University of Bergen, P.O. Box 7800, N-5020, Bergen, Norway

    Matthew G. Parker

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© 2009 Springer-Verlag Berlin Heidelberg

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Betsumiya, K., Betty, R.A.L., Munemasa, A. (2009). Mass Formula for Even Codes over . In: Parker, M.G. (eds) Cryptography and Coding. IMACC 2009. Lecture Notes in Computer Science, vol 5921. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10868-6_5

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  • DOI: https://doi.org/10.1007/978-3-642-10868-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10867-9

  • Online ISBN: 978-3-642-10868-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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