M. Alves, J. R. Gerônimo, R. Palazzo, S. R. Costa, J. Interlando
{"title":"线性码与二进制g -线性码的等价性","authors":"M. Alves, J. R. Gerônimo, R. Palazzo, S. R. Costa, J. Interlando","doi":"10.1109/ITS.1998.718449","DOIUrl":null,"url":null,"abstract":"The main objective of this paper is to establish a relationship between propelinear codes and binary G-linear codes as defined in Costa et al., (1997). We show that every binary G-linear code is a propelinear code by showing that the group structure induced by either one of these codes is related to the semi-direct product.","PeriodicalId":205350,"journal":{"name":"ITS'98 Proceedings. SBT/IEEE International Telecommunications Symposium (Cat. No.98EX202)","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the equivalence between propelinear and binary G-linear codes\",\"authors\":\"M. Alves, J. R. Gerônimo, R. Palazzo, S. R. Costa, J. Interlando\",\"doi\":\"10.1109/ITS.1998.718449\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main objective of this paper is to establish a relationship between propelinear codes and binary G-linear codes as defined in Costa et al., (1997). We show that every binary G-linear code is a propelinear code by showing that the group structure induced by either one of these codes is related to the semi-direct product.\",\"PeriodicalId\":205350,\"journal\":{\"name\":\"ITS'98 Proceedings. SBT/IEEE International Telecommunications Symposium (Cat. No.98EX202)\",\"volume\":\"64 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-08-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ITS'98 Proceedings. SBT/IEEE International Telecommunications Symposium (Cat. No.98EX202)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ITS.1998.718449\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ITS'98 Proceedings. SBT/IEEE International Telecommunications Symposium (Cat. No.98EX202)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITS.1998.718449","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
本文的主要目的是建立Costa et al.,(1997)中定义的线性码与二进制g -线性码之间的关系。通过证明任一二进制g -线性码所产生的群结构与半直积有关,我们证明了每一个二进制g -线性码都是一个线性码。
On the equivalence between propelinear and binary G-linear codes
The main objective of this paper is to establish a relationship between propelinear codes and binary G-linear codes as defined in Costa et al., (1997). We show that every binary G-linear code is a propelinear code by showing that the group structure induced by either one of these codes is related to the semi-direct product.