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

Sarı M.

Journal of Engineering Technology and Applied Sciences, vol.8, no.1, pp.35-47, 2023 (Peer-Reviewed Journal) identifier


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.