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1、357Vol.35No.720147JournalonCommunicationsJuly2014doi:10.3969/j.issn.1000-436x.2014.07.0041121(1.3100122.200240)12PKI!"#$%&'()*+,-./0123456789:;<./()=+>?2@'A2
2、BCD6EF8,GHIJK+3BA1LMNG'LMOPQRSODiffie-HellmanT+UVWXYYYLMTP309UAU1000-436X(2014)07-0033-05Provablysecureandefficientescrowablepublickeyencryptionschemes1121LIUWen-hao,WANGSheng-bao,CAOZhen-fu,HANLi-dong(1.SchoolofInformationScienceandEngineering,H
3、angzhouNormalUniversity,Hangzhou310012,China;2.DepartmentofComputerScienceandEngineering,ShanghaiJiaotongUniversity,Shanghai200240,China)Abstract:Inanescrowablepublickeyencryption(E-PKE)scheme,therearetwokeysassociatedwithonepublickey.Itcanreducethetotalnumberofcertificate
4、sinthepublickeyinfrastructure(PKI)toalargeextent,thusdegradethecom-plexityofcertificatemanagement.Moreover,anE-PKEschemecanalsoreducethekeystorageforendusers.Twosuchschemeswereproposed,withthesecondonebeingthemostefficientoneamongallexistingE-PKEschemes.Itisalsothefirstpro
5、vablysecureE-PKEscheme,whosesecurityisbasedonthestandardbilinearDiffie-Hellman(BDH)assump-tion.Keywords:cryptographicalgorithm;encryptionscheme;escrowablepublickeyencryption;provablesecuritya(EA,escrowagency)1bcNI*+,-/013dVIefghijkQR'($lm[],-8nop,-
6、qrst_Y!"#$%&aQuv(,-)81qwxy[1]'()*+,-./012345667z{
7、}~(RSA)HIS8/89:!";20=>?@,-8568_Y6AB1CDEFGHI8JK3L71MNDOPQRSTUVI>WXYZ(PKI,publickeyinfrastruc-[2][\[]^S8_YR`_Yture)E%;76U2014-06-02YU2014-06-25
8、UZ[]^_`ab"c61103209,61170227dYefg]^_`ab"cLZ12F02005dYefghij^_`ab"cY201222977dYklmnopqZ[rstuvwx_`ab"cSKLNST-2009-1-13dFoundationItems:TheNationalNaturalScienceFoundationofChina(61103209,61170227);TheNaturalScienceFoundationofZhejiangProvince(LZ12F02005);Educatio
9、nDepartmentFoundationofZhejiangProvince(Y201222977);TheOpenFoundationaofStateKeyLaborator