简介:AlinearizationattackontheKeyStreamGenerator(KSG)ofthemodifiedE0algorithmproposedbyHermelin[ProceedingsofICISC'99,SpringerLNCS1787,2000,17-29]isgiveninthispaper.TheinitialvaluecanberecoveredbyalinearizationattackwithO(260.52)operationsbysolvingaSystemofLinearEquations(SLE)withatmost220.538unknowns.FrederikArmknecht[CryptologyePrintArchive,2002/191]proposedalinearizationattackontheKSGofE0algorithmwith0(270.341)operationsbysolvinganSLEwithatmost224.056unknowns,sothemodificationproposedbyHermelinreducestheabilityofE0toresistthelinearizationattackbycomparingwiththeresultsofFrederikAnnknecht.
简介:Atomicityisnecessaryforreliableandsecureelectroniccommercetransactionandtoguaranteetheparticipants'interests.Anatomicandefficiente-cash(electroniccash)transactionprotocolbasedontheclassicale-cashschemeispresented.Thedeliveryofdigitalgoodsisincorporatedintotheprocessofpaymentintheprotocol.Apartfromensuringallthreelevelsofatomicity,thenovelprotocolfeatureshighefficiencyandpracticabilitywithunfavorablestrongassumptionremoved.Furthermore,theproposedprotocolprovidesnon-repudiationproofsforanyfuturedisputes.Atlast,analysisoftheatomicityandefficiencyisillustrated.
简介:Thestudyofcycliccodesoverringshasgeneratedalotofpublicinterest.Inthispaper,westudycycliccodesandtheirdualcodesovertheringZP2oflengthpe,andfindasetofgeneratorsforthesecodes.Theranksandminimalgeneratorsetsofthesecodesarestudiedaswell,whichplayanimportantroleindecodinganddeterminingthedistancedistributionofcodes.
简介:ThepurposeofthispaperistoconstructanorthogonalArmletmulti-waveletswithmul-tiplicityranddilationfactora.Firstly,thedefinitionofArmletswithdilationfactoraisproposedinthispaper.BasedontheTwo-scaleSimilarTransform(TST),thenotionofthePara-unitaryA-scaleSimilarTransform(PAST)isintroduced,andwealsogivethetransformonthealltwo-scalematrixsymbolsofthemulti-waveletswithdilationa.ThenweshowthatthePASTandthetransformonthematrixsymbolsofthemulti-waveletskeeptheorthogonalityofthemulti-waveletssystem.Wediscusstheconditionthatmulti-waveletscorrespondingtothemulti-scalingfunctionsareallArmlets.AfterperformingthePASTandthetransformonthematrixsymbolsofthemulti-wavelets,themulti-scalingfunctioncanbebalancedandthecorrespondingmulti-waveletscanbeArmletsatthesametime.TheconstructionofArmletswithhighorderisalsodiscussed.Atlast,byagivenexample,wecanconcludethatthealgorithmisfeasibleandefficient.