On the construction of self-dual codes over \(\mathrm{GF}(2^m)\) using symmetric generator matrices. (English) Zbl 1513.94041
Summary: There are several methods for constructing self-dual codes. Among them, the building-up construction is a powerful method. Recently, J.-L. Kim and W.-H. Choi [“Self-dual codes over \(\mathrm{GF}(q)\) with symmetric generator matrices”, Preprint, arXiv:2009.06609] proposed special building-up constructions which use symmetric generator matrices for self-dual codes over \(\mathrm{GF}(q)\), where \(q\) is odd. In this paper, we study the same method when \(q\) is even.
MSC:
| 94B05 | Linear codes (general theory) |
| 11T71 | Algebraic coding theory; cryptography (number-theoretic aspects) |
Software:
MagmaReferences:
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