欢迎来到天天文库
浏览记录
ID:40893506
大小:566.93 KB
页数:67页
时间:2019-08-10
《coding_theory》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、IntroductiontoAlgebraicCodingTheoryWithGapFall2006SarahSpenceAdams¤January11,2008¤The¯rstversionsofthisbookwerewritteninFall2001andJune2002atCornellUniversity,respectivelysupportedbyanNSFVIGREGrantandaDepartmentofMathematicsGrant.Thecurrentversionwaswrittenin2005atF
2、ranklinW.OlinCollegeofEngineeringsupportedbyNSFCCLIDUE-0410517Grant.Editsweremadein2006underthesamegrant.Ifyouwishtousethisbook,pleasesimplyletmeknowandkeepmeinformedofanytyposorotherproblemsyou¯ndwiththebook.1Contents1IntroductiontoCodingTheory51.1IntroductoryExamp
3、les...................................61.2ImportantCodeParameters................................91.3CorrectingandDetectingErrors.............................111.4Sphere-PackingBound...................................131.5AnswerstoChapter1ReadingQuestions...........
4、.............151.6Chapter1Problems....................................162LinearCodes172.1BinaryLinearCodes....................................172.2Fields,VectorSpaces,andGeneralLinearCodes....................182.3EncodingLinearCodes:GeneratorMatrices................
5、.......222.4IntroductiontoParityCheckMatrices..........................252.5ParityCheckMatricesandLinearDecoding.......................282.6ParityCheckMatrices,MinimumDistance,andtheSingletonBound.........312.7HammingCodes......................................322.8A
6、nswerstoChapter2ReadingQuestions........................342.9Chapter2Problems....................................363CyclicCodes,Rings,andIdeals383.1IntroductiontoCyclicCodes...............................393.2RingsandIdeals......................................403.3
7、IdealsandCyclicCodes..................................433.4GeneratorandParityCheckPolynomials........................463.5AnswerstoChapter3ReadingQuestions........................493.6Chapter3Problems....................................494ClassesofPowerfulCyclicCode
8、s504.1SpecialCasesofBCHandRSCodes...........................514.2MinimalPolynomials....................................534.3BCHandReed-Sol
此文档下载收益归作者所有
点击更多查看相关文章~~