{"title":"线性分组码和格的密度/长度轮廓和网格复杂性","authors":"G. Forney","doi":"10.1109/ISIT.1994.394679","DOIUrl":null,"url":null,"abstract":"The dimension/length profile (DLP) of a linear code C is equivalent to its generalized Hamming weight (GHW) hierarchy. The trellis complexity of C is intimately related to its DLP; indeed, these two topics should be regarded as parts of the same subject. Using this concept,easy proofs of unknown results and some new results are given. An analogous concept is introduced for lattices, the density/length profile (DLP). Analogous results are derived, which however look quite different.<<ETX>>","PeriodicalId":331390,"journal":{"name":"Proceedings of 1994 IEEE International Symposium on Information Theory","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Density/length profiles and trellis complexity of linear block codes and lattices\",\"authors\":\"G. Forney\",\"doi\":\"10.1109/ISIT.1994.394679\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The dimension/length profile (DLP) of a linear code C is equivalent to its generalized Hamming weight (GHW) hierarchy. The trellis complexity of C is intimately related to its DLP; indeed, these two topics should be regarded as parts of the same subject. Using this concept,easy proofs of unknown results and some new results are given. An analogous concept is introduced for lattices, the density/length profile (DLP). Analogous results are derived, which however look quite different.<<ETX>>\",\"PeriodicalId\":331390,\"journal\":{\"name\":\"Proceedings of 1994 IEEE International Symposium on Information Theory\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1994 IEEE International Symposium on Information Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.1994.394679\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 1994 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.1994.394679","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Density/length profiles and trellis complexity of linear block codes and lattices
The dimension/length profile (DLP) of a linear code C is equivalent to its generalized Hamming weight (GHW) hierarchy. The trellis complexity of C is intimately related to its DLP; indeed, these two topics should be regarded as parts of the same subject. Using this concept,easy proofs of unknown results and some new results are given. An analogous concept is introduced for lattices, the density/length profile (DLP). Analogous results are derived, which however look quite different.<>
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