One Weight Codes Over the Ring Fq[v]/(v^s-1)
Journal of Engineering Technology and Applied Sciences, cilt.8, sa.1, ss.35-47, 2023 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 8 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.30931/jetas.1152408
- Dergi Adı: Journal of Engineering Technology and Applied Sciences
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.35-47
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
In this study, we obtain one-Lee weight codes over a class of nonchain rings and study their structures. We give an explicit construction for one-Lee weight codes. A method to derive more one-Lee weight codes from given a one-Lee weight code is also represented. By defining and making use of a distance-preserving Gray map, we get a family of optimal one-Hamming weight codes over finite fields.