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

Authors : Mustafa SARI

Pages : 35-47

Doi:10.30931/jetas.1152408

View : 10 | Download : 10

Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :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.
Keywords : Linear codes, one Lee weight codes, gray map, optimal codes