Stream Cipher Design based on Jumping

Stream Cipher Design based on Jumping

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时间:2019-08-06

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1、StreamCipherDesignbasedonJumpingFiniteStateMachinesCeesJ.A.Jansen¤BanksysNV,Brussels,Belgiumcja@iae.nlAugust11,2005AbstractThispaperpresentsanewwayofconstructingbinarycascadeclock-controlledLFSRsequencegeneratorsasbuildingblocksforstreamciphers.Inthesecon-structionsthebottleneckofmultipl

2、eclockingshiftregistersisremoved,result-inginsocalledjump-controlledsequencegenerators,thatoperateinasingleclockpulseandaremoste±cienttoimplement.Theconstructionsmakeuseofspecialpropertiesofirreduciblepolynomialsover¯nite¯elds.Thispaperalsoaimsatgivinginsightintothemathematicaltheorybehi

3、ndtheconstructions.Tothisend,theoryisdevelopedandmanyoftherichsetofpropertiesofirre-duciblepolynomialsoverGF(2),suchasperiods,jumpindicesandthenumberandcardinalitiesofvariousclassesofpolynomialsarepresented.Keywords:LFSR,¯nitestatemachine,sequencegeneration,clock-control,irreduciblepolyn

4、omial,transitionmatrix,jumpindex,dualpolynomial.1IntroductionTodaystreamciphersarewidelyusedinareaswherethecombinationofsecurity,performanceandimplementationcomplexityisofimportance.Onesuchareaiswire-lesscommunications(GSM,3GPP,Bluetooth,IEEE802.11),wherealowgatecountinhardwareorDSPplatf

5、ormimplementationrequirementsprevail.Anotherareaishighspeedlinkencryptionwhereencryptionratesoftensofgigabitspersecondarequitecommon.Althoughmanystreamcipheralgorithmshavebeenbroken,anumberofsecurestreamciphersstillexistandnewinitiativesliketheEuropeanECRYPTSTVLstreamcipherproject,[5]are

6、proposed.Instreamciphercryptographyawellknownconstructionforgeneratingcomplexsequencesisbasedoncascadingclockcontrolledfeedbackshiftregisters.Withthismethod(seee.g.[13])subsequentlinearFSRsareclocked,i.e.steppedthroughtheir¤J.v.Riebeeckstraat10,5684EJBest,TheNetherlands1statespace,byapre

7、viousLFSRoutputoneormoretimesbeforeusingthecorre-spondingoutputbit.Duetothemultipleclockingfeature,thisconstructiongenerallyresultsinadecreasedrateofsequencegeneration,renderingitlessattractiveforhighspeedimplementations.Themoregeneralproblemof¯ndingane±cientwaytoletanaut

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