{"title":"One weight codes over the ring F_q[v]/(v^s-v)","authors":"","doi":"10.30931/jetas.1152408","DOIUrl":null,"url":null,"abstract":"In this study, we obtain one-Lee weight codes over a class of nonchain rings and study their structures. \nWe 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.","PeriodicalId":7757,"journal":{"name":"Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering","volume":"72 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30931/jetas.1152408","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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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.
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一个权码在环上F_q[v]/(v^s-v)
本文研究了一类非链环上的1 - lee权码,并研究了它们的结构。给出了一李权码的显式构造。给出了一种从给定一李权码派生出更多一李权码的方法。通过定义和利用距离保持的灰色映射,我们得到了有限域上最优的一汉明权码族。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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