{"title":"采用组合结构的自对偶编码","authors":"Jon-Lark Kim, Yoonjin Lee","doi":"10.1109/ISIT.2009.5206010","DOIUrl":null,"url":null,"abstract":"The building-up construction for self-dual codes was developed by the authors over finite fields GF(q) when q is a power of 2 or q ≡ 1 (mod 4). In this paper, we complete the building-up construction for self-dual codes over GF(q) with q ≡ 3 (mod 4). For example, we construct new 945 extremal self-dual ternary [32, 16, 9] codes, each of which has a trivial automorphism group.","PeriodicalId":412925,"journal":{"name":"2009 IEEE International Symposium on Information Theory","volume":"86 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Self-dual codes using the building-up construction\",\"authors\":\"Jon-Lark Kim, Yoonjin Lee\",\"doi\":\"10.1109/ISIT.2009.5206010\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The building-up construction for self-dual codes was developed by the authors over finite fields GF(q) when q is a power of 2 or q ≡ 1 (mod 4). In this paper, we complete the building-up construction for self-dual codes over GF(q) with q ≡ 3 (mod 4). For example, we construct new 945 extremal self-dual ternary [32, 16, 9] codes, each of which has a trivial automorphism group.\",\"PeriodicalId\":412925,\"journal\":{\"name\":\"2009 IEEE International Symposium on Information Theory\",\"volume\":\"86 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 IEEE International Symposium on Information Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2009.5206010\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2009.5206010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Self-dual codes using the building-up construction
The building-up construction for self-dual codes was developed by the authors over finite fields GF(q) when q is a power of 2 or q ≡ 1 (mod 4). In this paper, we complete the building-up construction for self-dual codes over GF(q) with q ≡ 3 (mod 4). For example, we construct new 945 extremal self-dual ternary [32, 16, 9] codes, each of which has a trivial automorphism group.
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