基于貝葉斯思想產生無窮維偽隨機數(shù)的方法及應用.pdf

1、武漢理工大學碩士學位論文基于貝葉斯思想產生無窮維偽隨機數(shù)的方法及應用姓名：王文娟申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：童恒慶20091101武漢理I人學碩l：學位論文AbstractWiththerapiddevelopmentofcomputersandtheincreaseinthedegreeofsocialinformation，informationeverywhere，andinformationsecurityprob

2、lemsalsogetmoreandmorepeople’SattentionIntheinformationsecurityissueshowgett11eexcellentpseudo—randomnumberisveryimportantbecauseintheinformationsecuritythepseudorandomnumberplaysabasicandcrucialroleWesaythatthefinepseud

3、o—randomnumberiSthecornerstoneofinformationsecurityfora11Inordertogetalongercyclebetterstatisticalpropertiesofrandomseriesthispaperfirstintroducesthecommonpseudorandomnumbergenerators：linearcongruencegeneratornon。linearc

4、ongruencegeneratorsfeedbackshiRgeneratorandgeneratorcombinationsAtthesametime，Testthestatisticalpropertiesofpseudo—randomnumberwhichmakebythesepseudorandomnumbergeneratorBasedonthelinearcongruencegeneratorandthecombinati

5、onofgeneratorthispaperpresentsanewcombinationgeneratormethod，whichiSbasedonBayesiantheorytogenerateinfinitedimensionalpseudo—randomnumberWewanttouseBayesiantheorytogeneratepseudorandomnumbersifwegeneratepseudo—randomnumb

6、erwhichcanbesubjecttoaspecificdistribution，andwecanhavethesespecificparametersofthedistributionofrandomization，thenBayesianmethodscantheoreticallybetogeneratepseudorandomnumberTheMonteCarlomethodiSabletoconnecttheBayesia

7、ntheoryandtherandomnumberwellButtheMonteCarlomethodcanonlybeappliedtosomesimpleBayesianstatisticalanalysis；itdoesnotmeetourneedwhenBayesianposteriordistributioniScomplex，highdimensionalsituationBasedonthissituationwehave

8、proposedMarkovchainMonteCarlomethods，whichwillintegrateBayesiantheoryandrandomnumbersverywelltogetherandwhichiSsuitableforamorecomplicatedsituationtheBayesianposteriordistilbutionFinallyweuseGibbssamplingcombinedwithinfi

9、nite—dimensionaltheorytogetpseudorandomnumberswiththelongerthecycle，thatweneed，andthispseudorandomnumberiSgeneratedbasedonBayesiantheoryofinfinite—dimensionalpseudorandomnumberAttheendofthisarticle，basedonBayesiantheorie

10、s，infinitedimensionalpseudorandomnumberappliedtothefieldofinformationsecurity：RFIDauthenticationprotoc01FirstlyweanalyzedalltheexistingRFIDauthenticationprotocol；secondlypresentedaninfinitedimensionalpseudorandomnumberge

11、neratortoenhanceprotocolsecurity；andthenbasedontheBayesianinfinitedimensionalpseudorandomnumberweproposedatheorygeneratorcertifiedagreementComparedwiththetraditionalvarietyofprotocols，OurmethodcanresistavarietyofaRackmet