New MDS Euclidean and Hermitian self-dual codes over finite fields
نویسندگان
چکیده
In this paper, we construct MDS Euclidean self-dual codes which are extended cyclic duadic codes. And we obtain many new MDS Euclidean self-dual codes. We also construct MDS Hermitian self-dual codes from generalized Reed-Solomon codes and constacyclic codes. And we give some results on Hermitian self-dual codes, which are the extended cyclic duadic codes.
منابع مشابه
New MDS or near MDS self-dual codes over finite fields
The study of MDS self-dual codes has attracted lots of attention in recent years. There are many papers on determining existence of q−ary MDS self-dual codes for various lengths. There are not existence of q−ary MDS self-dual codes of some lengths, even these lengths < q. We generalize MDS Euclidean self-dual codes to near MDS Euclidean self-dual codes and near MDS isodual codes. And we obtain ...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1606.07161 شماره
صفحات -
تاریخ انتشار 2016