Academic Journal
Roos bound for skew cyclic codes in Hamming and rank metric
| العنوان: | Roos bound for skew cyclic codes in Hamming and rank metric |
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| المؤلفون: | Alfarano G. N., Lobillo F. J., Neri A. |
| المساهمون: | Alfarano, G. N., Lobillo, F. J., Neri, A. |
| سنة النشر: | 2021 |
| المجموعة: | IRIS Università degli Studi di Napoli Federico II |
| مصطلحات موضوعية: | Cyclic code, MRD code, Rank-metric code, Roos bound, Skew cyclic codes |
| الوصف: | In this paper, a Roos like bound on the minimum distance for skew cyclic codes over a general field is provided. The result holds in the Hamming metric and in the rank metric. The proofs involve arithmetic properties of skew polynomials and an analysis of the rank of parity-check matrices. For the rank metric case, a way to arithmetically construct codes with a prescribed minimum rank distance, using the skew Roos bound, is also given. Moreover, some examples of MDS codes and MRD codes over finite fields are built, using the skew Roos bound. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000596599100009; volume:69; journal:FINITE FIELDS AND THEIR APPLICATIONS; https://hdl.handle.net/11588/963207; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85093973858 |
| DOI: | 10.1016/j.ffa.2020.101772 |
| الاتاحة: | https://hdl.handle.net/11588/963207 https://doi.org/10.1016/j.ffa.2020.101772 |
| رقم الانضمام: | edsbas.2F9224DB |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.ffa.2020.101772 |
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