{"title":"Z2 × Z4上的加性代码","authors":"J. Borges, C. Fernández-Córdoba, S. Dougherty","doi":"10.1109/CIG.2010.5592827","DOIUrl":null,"url":null,"abstract":"We describe recent results for codes over Z<inf>2</inf> ×Z<inf>4</inf> giving their connection to binary codes via a natural Gray map. We study Z<inf>2</inf>Z<inf>4</inf> self-dual codes and we state the major results concerning these codes. We state several open questions and discuss possible avenues of research.","PeriodicalId":354925,"journal":{"name":"2010 IEEE Information Theory Workshop","volume":"67 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Additive codes over Z2 × Z4\",\"authors\":\"J. Borges, C. Fernández-Córdoba, S. Dougherty\",\"doi\":\"10.1109/CIG.2010.5592827\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe recent results for codes over Z<inf>2</inf> ×Z<inf>4</inf> giving their connection to binary codes via a natural Gray map. We study Z<inf>2</inf>Z<inf>4</inf> self-dual codes and we state the major results concerning these codes. We state several open questions and discuss possible avenues of research.\",\"PeriodicalId\":354925,\"journal\":{\"name\":\"2010 IEEE Information Theory Workshop\",\"volume\":\"67 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE Information Theory Workshop\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CIG.2010.5592827\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE Information Theory Workshop","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIG.2010.5592827","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We describe recent results for codes over Z2 ×Z4 giving their connection to binary codes via a natural Gray map. We study Z2Z4 self-dual codes and we state the major results concerning these codes. We state several open questions and discuss possible avenues of research.