التفاصيل البيبلوغرافية
| العنوان: |
Construction of reversible cyclic codes over 𝔽q + u𝔽q + u2𝔽q |
| المؤلفون: |
Rehman Nadeem ur, Ahmad Mohammad Fareed, Azmi Mohd |
| المصدر: |
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 2, Pp 155-176 (2023) |
| بيانات النشر: |
Sciendo, 2023. |
| سنة النشر: |
2023 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
cyclic codes, codes over rings, hamming distance, generator polynomial, primary 94b15, secondary 94b05, Mathematics, QA1-939 |
| الوصف: |
Let q be a power of prime p. In this article, we investigate the reversible cyclic codes of arbitrary length n over the ring R = 𝔽q +u𝔽q + u2𝔽q, where u3 = 0 mod q. Further, we find a unique set of generators for cyclic codes over R and classify the reversible cyclic codes with their generators. Moreover, it is shown that the dual of reversible cyclic code over R is reversible. Finally, some examples of reversible cyclic codes are provided to justify the importance of these results. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
1844-0835 |
| Relation: |
https://doaj.org/toc/1844-0835 |
| DOI: |
10.2478/auom-2023-0025 |
| URL الوصول: |
https://doaj.org/article/65f73518fc1048d0a8348c1ca871c329 |
| رقم الانضمام: |
edsdoj.65f73518fc1048d0a8348c1ca871c329 |
| قاعدة البيانات: |
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