One Weight Codes Over the Ring Fq[v]/(v^s-1)

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Atıf İçin Kopyala

Sarı M.

Journal of Engineering Technology and Applied Sciences, cilt.8, sa.1, ss.35-47, 2023 (Hakemli Dergi)

• 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.