{"title":"用手和机器解码二进制R(2,5)","authors":"P. Gaborit, Jon-Lark Kim, V. Pless","doi":"10.1109/ISIT.2001.935949","DOIUrl":null,"url":null,"abstract":"We decode the binary Reed-Muller [32,16,8] code R(2,5) by hand by two methods. One, the representation decoding method, is the analogue of the method used to decode the Golay code. The other is the new syndrome decoding method. We also decode R(2,5) by machine using information sets.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Decoding binary R(2,5) by hand and by machine\",\"authors\":\"P. Gaborit, Jon-Lark Kim, V. Pless\",\"doi\":\"10.1109/ISIT.2001.935949\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We decode the binary Reed-Muller [32,16,8] code R(2,5) by hand by two methods. One, the representation decoding method, is the analogue of the method used to decode the Golay code. The other is the new syndrome decoding method. We also decode R(2,5) by machine using information sets.\",\"PeriodicalId\":433761,\"journal\":{\"name\":\"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2001.935949\",\"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. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2001.935949","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We decode the binary Reed-Muller [32,16,8] code R(2,5) by hand by two methods. One, the representation decoding method, is the analogue of the method used to decode the Golay code. The other is the new syndrome decoding method. We also decode R(2,5) by machine using information sets.