環(huán)F-,2-+uF-,2-上的循環(huán)碼和常循環(huán)碼的研究.pdf

1、蝰疊矽分類號(hào)：』墮!里密級(jí)：——單位代碼：—地i9一學(xué)號(hào)貯竺竺!竺!16侖肥工學(xué)火警HefeiUniversityofTechnology碩士學(xué)位論文MASTERDISSERTATl0N②論文題目：環(huán)，一w^上的循環(huán)碼和常循環(huán)碼的研究學(xué)位類別：學(xué)科專業(yè)：(工程領(lǐng)域)作者姓名：導(dǎo)師姓名：完成時(shí)間：學(xué)歷碩士應(yīng)用數(shù)學(xué)王敏秋朱士信教授2007年5月ResearchoncycficcodeandconstacycliccodeoverringE蝸

2、AbstractAtpresentwiththesuccessivedevelopmentofproductiontechnlqucandthesuccessivedeepgoingresearchesonerrorcorrectingcodingtheoryandtheoryofsttcanlciphersovel“finiteringshavenotonlyimportanttheoredcalsignificancebutalso

3、importantpracticalvalueInrecentdecade，researchesonerrorcorrectingcodingtheoryOVerfmiteringshavedmwnintensiveattentioninthefieldoferrorcorrectingcodingtheoryThe五ngF寸證lisafourelementringwhichsharessomegoodpropertiesofbothZ

4、～andF舢AttimtheringE幔ismostlyusedtoconstructmodularandlatticesNowthere黜manypapersonthecodingtheoryoverthering五十蝸Inthispaperwediscussthepopertiesof00)6(曲)；材0(力)：cycliccodeoverthering五十蝸Andwestudythestruetoreofthedualofcons

5、taeycliccodeovertheringE蝸，whoselengthis&denThedetailsaregivenasfollows：1Wediscussthepropertiesof(口@)(6@)H))：cycliccodeOVel“F2uF2andthepropertiesofit’sin：IageofNechaevOraymap2Wediscussthepropertiesof(口(力6(z))：“(口(x))；cycl

6、iccodeoverR如‘兄andthepropertiesofit’simageofNechaevGmymap3WegivethesufficientandnecessaryconditionforacycliccodeCofoddlengthntobeselfdual，whereCisoftypeC=cI”c2withc1，c2arcbinarylmearcycliccodesofoddlengthnrespectively4Weg