2009年4月26日陕西省公务员考试行测真题及答案解析(天津、陕西、(3)

2021-01-28 21:16

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Abstract

BilinearpairinghasrecentlybecomeallimportantconstrBc垃vetoolincryptography.Itiswidelyexploitedfordevisingcryptographicsystems

orpreviouslydifficultinthecontextoflargeintegerfaetodzationanddiserctelogarithmimproving

theexistingschemes.Thisthesis

paimg-basadgroupcryptosysemsfurtherinvestigatesinthisareaandfocuseson

withthefollowingmaincontributionsingroup

keyexchange.

seecqlresignature,groupdeeryptionandgroupWeproposeanextremelyshortgroupsignatureproveninthestandard

modal.Thesecurityproofsadoptastrongergroupsignaturedefinitionintheuniversallycomposablemodelsothattheproofsworknotonlywhensolyimplementedbutalsowhen

groupcomposedsignatureswithothersl∞ureprimitives.Comparedwiththestate-of-tho-artofwithoutrandomoracleswhichare

oneconstructedfrompairings.foramid-sealegroup,oursignature

signatureduetoinsizeisonlyfourteenthoftheBoyen-WatersschemeinEurocrypt2007,andabouthalfoftheveryrecemtrandom-oracle-freegroupAteniesecta1.,approximatelongasanormalRSAsignature.

groupdeeryptionandrealizethefirstWeintroducethenotionofimplementation

frompairings.Anonymityisoneofthemainconcernsingroupcryptography.However,mostefforts,forinstance,groupsignaturesandringsignatures,areonlymadetoprovideanonymityonthesender’spointofview.Thereisonlyfewworkdonetoensureanonymityinacryptographicsenseontherecipient’spointofview.Weandthreecryptographers,i.e.,Kiayias,TsiounisandYung,ind印eadentlyformalizesimiliarnotionsofgroupdeeryption/encryption,whichcanbeviewedasananalogofgroupsignatureinthecontextofencryptionswhere

anyasendercanencryptacommittedmessageintendedto

theeiphertext

withoutleakingtheplaintextortheidentityoftherecipient.Ifrequired,thegroupmanagercallverifiablyopentheidentityoftherecipient.Weproposeanefficientgroupdeeryptionschemethatisprovensecureintherandomoraclemodel.Theoverheadinmemberofagroup,managedbyagroupmanager,whiletherecipientofremainsanollymous.Thesendercanconvinceaverifieraboutthisfactbothcomputationandcommunicationisind印endentofthegroupsize.

Wepresentthefirstone-roundasymmctriegroupkeyexchangeprotoc01.WefirstrevisittheGKEdefinitionanddistinguishtheconventional(symmctri曲group

exploitingakeyaexchangefromasymmetricgroupkeyexchange(ASGr④)protocols,andproposegenericconstruction

primitivereferredofone.roundstaticASGKEsbyneweryptographicto嬲siguaturc-basadeacryptionofindependentinterest.Weinstantiateefficientsignature-basedencryptionandone-roundASGKEschemesrelyingonourshortsignatureconvertedfromtheE1Gamalecrypitoninthecontextofpairings.Signature-basedencryptioncanalsobeusedasascalablebroadcastorconferencekeydistributingscheme,whileone-roundASGKEcanbeusedabroadcastschemeinadhoesettingswithoutatrustedparty,whichaddressesthekey-escrowprobleminexistingbroadcastsystems.


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