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Mass formula and structure of self-dual codes over \({{\bf Z}_{2^s}}\)

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Abstract

We look at the structure of and give a mass formula for self-dual codes over the ring \({{\bf Z}_{2^s}}\) of integers modulo 2s. Together with earlier work on the case of odd primes, this completes the mass formula for self-dual codes for \({{\bf Z}_{p^s}}\), for all prime numbers p and positive integers s.

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Authors and Affiliations

  1. Department of Business Studies and Informatics, Daito Bunka University, Itabashi-ku, Tokyo, Japan

    Kiyoshi Nagata

  2. Institute of Mathematics, University of the Philippines, Diliman, Quezon City, Philippines

    Fidel Nemenzo

  3. Department of Mathematics, Sophia University, Chiyoda-ku, Tokyo, Japan

    Hideo Wada

Authors
  1. Kiyoshi Nagata
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  2. Fidel Nemenzo
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  3. Hideo Wada
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Corresponding author

Correspondence to Fidel Nemenzo.

Additional information

Communicated by Q. Xiang.

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Nagata, K., Nemenzo, F. & Wada, H. Mass formula and structure of self-dual codes over \({{\bf Z}_{2^s}}\) . Des. Codes Cryptogr. 67, 293–316 (2013). https://doi.org/10.1007/s10623-011-9606-x

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  • DOI: https://doi.org/10.1007/s10623-011-9606-x

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