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Formally Self-Dual Codes Related to Type II Codes

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Abstract.

Shadows play an important role in the study of self-dual codes. In this note, we give constructions of formally self-dual codes using self-dual codes and their shadows. As an example, a class of binary formally self-dual codes related to extremal Type II code is introduced.

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Authors and Affiliations

  1. Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan

    Koichi Betsumiya & Masaaki Harada

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  1. Koichi Betsumiya
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  2. Masaaki Harada
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Additional information

This work was partially supported by the Grant-in-Aid for Scientific Research (No. 10740044), the Ministry of Education, Science, Sports and Culture, Japan, and the Sumitomo Foundation (No. 990645), Japan.

Keywords: Formally self-dual codes, Type II codes and codes over ℤ2 k .

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Betsumiya, K., Harada, M. Formally Self-Dual Codes Related to Type II Codes. AAECC 14, 81–88 (2003). https://doi.org/10.1007/s00200-003-0127-3

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  • DOI: https://doi.org/10.1007/s00200-003-0127-3

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