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ৰ35Żৰ7ƛỞǍƚĉVol.35No.7 2014À7ƄJournalonCommunicationsJuly2014 doi:10.3969/j.issn.1000-436x.2014.07.004 dz᪅ƽ͔Ոʌάdz¼੥͘⍩¤Ǻ5˄ ǎɻ˵1ɎäO1ŅȮ2˚ŻŢ1 (1.ǩ*Tᇇ̓ƚǍʻ࢕ƚ^1࣏ƚ┦˳ǩ*3100122.Z#Ở̓ƚᩥਜ਼ƶ࢕ƚ^1࣏ிZ#200240) ʼᡅdz¼੥͘⍩¤Ǻ5˄1͘⍩ȭàz2ᢧǺࢅ⍩Ʒdz̓̓λɅ͘⍩Ȗ܄᪂9PKI͘⍩᪅RՈϔ º໐┑ĺ͘͢⍩᪅R੥ˊՈᯣሻ4ȐrȭzϬ›঳ǡ᪸ƷK࿁λɃ¤◄ࢅ⍩ƌʔाⒸλḿϬ›Ոࢅ⍩੥ֲ ˊᯣĩ4ȴϦ2,Ոdz¼੥͘⍩¤Ǻ5˄͢ৰ25˄«Dz¤ƅɴƌȐି5˄ż&ʌάՈ4ƷK« ৰ1dz᪅ƽ͔ՈǸି5˄͢ƽ͔ɳȖzʃβՈǐඃɳDiffie-Hellmanȳ᪂4 ਜ਼ͩ¤Ǻ5˄dz¼੥͘⍩¤Ǻdz᪅ƽ͔ۅ⏲᪑Ǻ͟ Aতේǻ1000-436X(2014)07-0033-05ۅିǻTP309Dzʃ᪊ Ě Provablysecureandefficientescrowable publickeyencryptionschemes LIUWen-hao1,WANGSheng-bao1,CAOZhen-fu2,HANLi-dong1 (1.SchoolofInformationScienceandEngineering,HangzhouNormalUniversity,Hangzhou310012,China; 2.DepartmentofComputerScienceandEngineering,ShanghaiJiaotongUniversity,Shanghai200240,China) Abstract:Inanescrowablepublickeyencryption(E-PKE)scheme,therearetwokeysassociatedwithonepublickey.It canreducethetotalnumberofcertificatesinthepublickeyinfrastructure(PKI)toalargeextent,thusdegradethecom- plexityofcertificatemanagement.Moreover,anE-PKEschemecanalsoreducethekeystorageforendusers.Twosuch schemeswereproposed,withthesecondonebeingthemostefficientoneamongallexistingE-PKEschemes.Itisalso thefirstprovablysecureE-PKEscheme,whosesecurityisbasedonthestandardbilinearDiffie-Hellman(BDH)assump- tion. Keywords:cryptographicalgorithm;encryptionscheme;escrowablepublickeyencryption;provablesecurity ȏ(EA,escrowagency)4͢ƵȭzϔƋੂȑƉ¥ 1šᣄ Ƿ͛5ZՈ]dzęᰚɳՈֲՈף໐ᣄϦzƍᱷ ƚńตචǍʻƽ͔ՈňϬᱎǡᱎnjᡅ˖ੂȑࢅ⍩à᪩Ǯ࿁&ੂȑ¦¤ǰɅŷ¼੥ۅ͘⍩Ǻ Ǜ4¦ØₑᢊƷ࿁̻Ȑr&Ϭ›ȴƇljǺɳʐûȏ]࿁̻ቻǣϬ›Ո(ੂȑ)ࢅ⍩4¤ÑƟūϬ ęᰚϔƋੂȑƉ¥[1]4Ϣ໐-Ϭ̳PP͘Čඣ͘⍩¤Ǻ5˄(ŷΞRSA)rϵzᢧǺࢅ⍩^ ⍩/ࢅ⍩̯ඈǡȐrȴƇẝ2࢑Ɖ¥ՈɆͩƌńੂȑࢅ⍩ּȐϬ›Ո̳Pࢅ⍩«Ȫᝯ¼੥ɥ«P 4ׂڟₑ⒲L4Ŋ̴&r⓶ǶϵzϬ›ࢅ⍩Ո͍໐Ụ -᪂9(PKI,publickeyinfrastruc܄tȭ̴QǺՈ]dzᢧǺz້ϦzͩǗ֕੥Ո◄ɴᜐ͘⍩Ȗ [Pჰ₋Ϭ8ǐ᪅Rµś9[2ׂڟᡅnjnjᡅ˖Ϭ›ȺᢧǺࢅ⍩¼੥4dzǍçՈ¼੥ture)&r᫇ʐẝ Κःaƛ2014-06-02ǚúaƛ2014-06-25 ˳ׅνྲྀ˳ׅႮϢ࢕ƚȖₕᰈ­-ֲLZ12F02005Ȗₕ-ֲęǪႮϢ࢕ƚȖₕᰈ­-ֲ61103209,61170227 ตච^džäƫęǪₑͥǒɀǘŌ΢Ȗₕᰈ­-ֲSKLNST-2009-1-13Ɖ࢕ƚȖₕᰈ­-ֲY201222977 FoundationItems:TheNationalNaturalScienceFoundationofChina(61103209,61170227);TheNaturalScienceFoundationof Zhe