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43
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IntroducingfractalcomputationratoireUniversit?NapIntroatiqueduCOPCOMc/irngondamentalefractalOrl?ans,computationJ?r?mecaDurand-LoseoJointd'InfowmoFrkd'Orl?ans,withd'Orl?ans,DenysFRANCEDuchier'11andClujMaximeoSenot1Lab27IntroducingfractalcomputationpaaunconventionalBruteandforoadcastrceFseacontinuousrchidealizationeasytocheck/(tocomputationo)ractalmanyrallelismtospacechecktimePhysicalusinglimitationsfractalclassicalbpa2rallelism27IntroducingfractalSignalractalConclusioncomputation41rallelismIntro/ducmachinestionF2paPhysical5limitations3327Introducingfractal/4rallelismcomputationSignalIntroractalductionConclusion13IntromachinesducFtionpa25Physical4limitations27+ =
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ndbuteasy2bfractalto10check100Vcery500impaocrtantain,2e.g.Easyto,asymmetric/cryptographyHaExample:ductionnIntrodcomputation3andd240brducing22900301integersa2,50bIndeedIntro,and600c2such5that...27IntroducingfractaltothererithmcomputationrightIntroticateductionBUTLinktrywithNONPnoprivialroblemsallNP:aclassmanyof/decisioncerticatep:roblemsisYEScer:Teasilyalgoptryrovedcerticates(pthereolynomialretiome)towith6the27IntroducingfractaltothererithmcomputationrightIntroticateductionBUTLinktrywithNONPnoprivialroblemsallNP:aclassmanyof/decisioncerticatep:roblemsisYEScer:Teasilyalgoptryrovedcerticates(pthereolynomialretiome)towith6the27IntroducingfractaltothererithmcomputationrightIntroticateductionBUTLinktrywithNONPnoprivialroblemsallNP:aclassmanyof/decisioncerticatep:roblemsisYEScer:Teasilyalgoptryrovedcerticates(pthereolynomialretiome)towith6the27