{"title":"欧几里德空间中广义串联码的Varshamov-Gilbert界","authors":"T. Ericson","doi":"10.1109/ITS.1990.175562","DOIUrl":null,"url":null,"abstract":"The author suggests the Varshamov-Gilbert bound as a method for evaluating and comparing various possible inner codes. The advantage is that in this way an evaluation can be obtained which is more or less neutral as far as the choice of outer code is concerned. A few examples are evaluated. It is concluded that set partitioning and generalized concatenation provide excellent possibilities for constructing codes for non-Hamming metrics. In the case of Euclidean spaces the appropriate dimension for the inner code seems to be <or=2.<<ETX>>","PeriodicalId":405932,"journal":{"name":"SBT/IEEE International Symposium on Telecommunications","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Varshamov-Gilbert bounds for generalized concatenated codes in Euclidean space\",\"authors\":\"T. Ericson\",\"doi\":\"10.1109/ITS.1990.175562\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The author suggests the Varshamov-Gilbert bound as a method for evaluating and comparing various possible inner codes. The advantage is that in this way an evaluation can be obtained which is more or less neutral as far as the choice of outer code is concerned. A few examples are evaluated. It is concluded that set partitioning and generalized concatenation provide excellent possibilities for constructing codes for non-Hamming metrics. In the case of Euclidean spaces the appropriate dimension for the inner code seems to be <or=2.<<ETX>>\",\"PeriodicalId\":405932,\"journal\":{\"name\":\"SBT/IEEE International Symposium on Telecommunications\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-09-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SBT/IEEE International Symposium on Telecommunications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ITS.1990.175562\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SBT/IEEE International Symposium on Telecommunications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITS.1990.175562","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Varshamov-Gilbert bounds for generalized concatenated codes in Euclidean space
The author suggests the Varshamov-Gilbert bound as a method for evaluating and comparing various possible inner codes. The advantage is that in this way an evaluation can be obtained which is more or less neutral as far as the choice of outer code is concerned. A few examples are evaluated. It is concluded that set partitioning and generalized concatenation provide excellent possibilities for constructing codes for non-Hamming metrics. In the case of Euclidean spaces the appropriate dimension for the inner code seems to be >
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