Abstract
Symmetric designs are used to construct binary extremal self-dual codes and Hadamard matrices and weighing matrices are used to construct extremal ternary self-dual codes. In this paper, we consider orthogonal designs and related matrices to construct self-dual codes over a larger alphabet. As an example, a number of extremal Type II codes over ℤ2k are constructed.
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Georgiou, S., Harada, M. & Koukouvinos, C. Orthogonal Designs and Type II Codes over ℤ2k . Designs, Codes and Cryptography 25, 163–174 (2002). https://doi.org/10.1023/A:1013804414889
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DOI: https://doi.org/10.1023/A:1013804414889