{"title":"利用有限域傅里叶变换的二维纠错码","authors":"Shounak Roy, S. G. Srinivasa","doi":"10.1109/ITWF.2015.7360746","DOIUrl":null,"url":null,"abstract":"We construct 2D codewords by using 2D finite field Fourier transform. The components of the codeword in the transformed domain are from an extension field GF(2m) and are linked by a conjugacy constraint. We provide encoding and decoding schemes in the transformed domain.","PeriodicalId":281890,"journal":{"name":"2015 IEEE Information Theory Workshop - Fall (ITW)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Two dimensional error-correcting codes using finite field Fourier transform\",\"authors\":\"Shounak Roy, S. G. Srinivasa\",\"doi\":\"10.1109/ITWF.2015.7360746\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct 2D codewords by using 2D finite field Fourier transform. The components of the codeword in the transformed domain are from an extension field GF(2m) and are linked by a conjugacy constraint. We provide encoding and decoding schemes in the transformed domain.\",\"PeriodicalId\":281890,\"journal\":{\"name\":\"2015 IEEE Information Theory Workshop - Fall (ITW)\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE Information Theory Workshop - Fall (ITW)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ITWF.2015.7360746\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE Information Theory Workshop - Fall (ITW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITWF.2015.7360746","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Two dimensional error-correcting codes using finite field Fourier transform
We construct 2D codewords by using 2D finite field Fourier transform. The components of the codeword in the transformed domain are from an extension field GF(2m) and are linked by a conjugacy constraint. We provide encoding and decoding schemes in the transformed domain.