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

Year 2023, Volume: 8 Issue: 1, 35 - 47, 30.04.2023

Mustafa Sarı

https://doi.org/10.30931/jetas.1152408

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

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