An efficient quantum blind digital signature scheme
Recently, many quantum digital signature（QDS） schemes have been proposed to authenticate the integration of a message. However, these quantum signature schemes just consider the situation for bit messages,and the signing-verifying of one-bit modality. So, their signature efficiency is very low. In t...
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| Published in | Science China. Information sciences Vol. 60; no. 8; pp. 222 - 235 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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Beijing
Science China Press
01.08.2017
Springer Nature B.V |
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| Abstract | Recently, many quantum digital signature（QDS） schemes have been proposed to authenticate the integration of a message. However, these quantum signature schemes just consider the situation for bit messages,and the signing-verifying of one-bit modality. So, their signature efficiency is very low. In this paper, we propose a scheme based on an application of Fibonacci-, Lucas-and Fibonacci-Lucas matrix coding to quantum digital signatures based on a recently proposed quantum key distribution（QKD） system. Our scheme can sign a large number of digital messages every time. Moreover, these special matrices provide a method to verify the integration of information received by the participants, to authenticate the identity of the participants, and to improve the efficiency for signing-verifying. Therefore, our signature scheme is more practical than the existing schemes. |
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| AbstractList | Recently, many quantum digital signature（QDS） schemes have been proposed to authenticate the integration of a message. However, these quantum signature schemes just consider the situation for bit messages,and the signing-verifying of one-bit modality. So, their signature efficiency is very low. In this paper, we propose a scheme based on an application of Fibonacci-, Lucas-and Fibonacci-Lucas matrix coding to quantum digital signatures based on a recently proposed quantum key distribution（QKD） system. Our scheme can sign a large number of digital messages every time. Moreover, these special matrices provide a method to verify the integration of information received by the participants, to authenticate the identity of the participants, and to improve the efficiency for signing-verifying. Therefore, our signature scheme is more practical than the existing schemes. Recently, many quantum digital signature (QDS) schemes have been proposed to authenticate the integration of a message. However, these quantum signature schemes just consider the situation for bit messages, and the signing-verifying of one-bit modality. So, their signature efficiency is very low. In this paper, we propose a scheme based on an application of Fibonacci-, Lucas- and Fibonacci-Lucas matrix coding to quantum digital signatures based on a recently proposed quantum key distribution (QKD) system. Our scheme can sign a large number of digital messages every time. Moreover, these special matrices provide a method to verify the integration of information received by the participants, to authenticate the identity of the participants, and to improve the efficiency for signing-verifying. Therefore, our signature scheme is more practical than the existing schemes. |
| ArticleNumber | 082501 |
| Author | Hong LAI Mingxing LUO Josef PIEPRZYK Zhiguo QU Shudong LI Mehmet A.ORGUN |
| AuthorAffiliation | College of Computer and Information Science, Southwest University, Chongqing 400715, China Information Security and National Computing Grid Laboratory, School of Information Science and Technology Southwest Jiaotong University, Chengdu 610031, China School of Electrical Engineering and Computer Science, Queensland University of Technology, Brisbane QLD 4000, Australia Institute of Computer Science, Polish Academy of Sciences, Warsaw 01-248, Poland School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing 210044, China College of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, China School of Computer Science, National University of Defense Technology, Changsha 410073, China Department of Computing, Macquarie University, Sydney NSW 2109, Australia Faculty of Information Technology, Macau University of Science and Technology, Avenida Wai Long, Macau 519020, China |
| Author_xml | – sequence: 1 givenname: Hong surname: Lai fullname: Lai, Hong email: hlai@swu.edu.cn organization: College of Computer and Information Science, Southwest University – sequence: 2 givenname: Mingxing surname: Luo fullname: Luo, Mingxing organization: Information Security and National Computing Grid Laboratory, School of Information Science and Technology, Southwest Jiaotong University – sequence: 3 givenname: Josef surname: Pieprzyk fullname: Pieprzyk, Josef organization: School of Electrical Engineering and Computer Science, Queensland University of Technology, Institute of Computer Science, Polish Academy of Sciences – sequence: 4 givenname: Zhiguo surname: Qu fullname: Qu, Zhiguo organization: School of Computer and Software, Nanjing University of Information Science and Technology – sequence: 5 givenname: Shudong surname: Li fullname: Li, Shudong organization: College of Mathematics and Information Science, Shandong Technology and Business University, School of Computer Science, National University of Defense Technology – sequence: 6 givenname: Mehmet A. surname: Orgun fullname: Orgun, Mehmet A. email: mehmet.orgun@mq.edu.au organization: Department of Computing, Macquarie University, Faculty of Information Technology, Macau University of Science and Technology |
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| Cites_doi | 10.1007/s11432-010-4012-y 10.1103/PhysRevA.93.032325 10.1016/0025-5564(79)90080-4 10.1103/PhysRevA.93.032316 10.1007/s11128-014-0760-8 10.1103/PhysRevA.93.012329 10.1007/s11128-012-0398-3 10.1103/PhysRevLett.67.661 10.1103/PhysRevLett.113.040502 10.1145/357830.357847 10.3390/e17085635 10.1145/359340.359342 10.1007/s10773-014-2107-8 10.1038/srep09231 10.1016/j.optcom.2008.10.025 10.1007/s12095-015-0178-x 10.1137/S0036144598347011 10.1103/PhysRevA.91.042304 10.1016/j.chaos.2005.12.054 10.1103/PhysRevA.91.043806 10.1088/1674-1056/19/6/060307 10.1103/PhysRevLett.112.040502 10.1103/PhysRevA.87.032312 |
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| Keywords | blind quantum digital signature signing-verifying modality Fibonacci Lucas- and Fibonacci-Lucas matrix coding digital messages |
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| Notes | 11-5847/TP blind quantum digital signature, Fibonacci-, Lucas- and Fibonacci-Lucas matrix coding, digitalmessages, signing=verifying modality Recently, many quantum digital signature（QDS） schemes have been proposed to authenticate the integration of a message. However, these quantum signature schemes just consider the situation for bit messages,and the signing-verifying of one-bit modality. So, their signature efficiency is very low. In this paper, we propose a scheme based on an application of Fibonacci-, Lucas-and Fibonacci-Lucas matrix coding to quantum digital signatures based on a recently proposed quantum key distribution（QKD） system. Our scheme can sign a large number of digital messages every time. Moreover, these special matrices provide a method to verify the integration of information received by the participants, to authenticate the identity of the participants, and to improve the efficiency for signing-verifying. Therefore, our signature scheme is more practical than the existing schemes. ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
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| References | DonaldsonR JCollinsR JKleczkowskaKExperimental demonstration of kilometer-range quantum digital signaturesPhys Rev A20169301232910.1103/PhysRevA.93.012329 ReyASanchezGOn the security of the golden cryptographyInt J Netw Secur20087448450 ShorP WPolynomial-time algorithms for prime factorization and discrete logarithms on a quantum computerSIAM Rev199941303332168454610.1137/S00361445983470111005.11507 StakhovA PFibonacci matrices, a generalization of the cassini formula and a new coding theoryChaos Soliton Fract2006305666223089110.1016/j.chaos.2005.12.0541149.94338 WilliamSCryptography and Network Security: Principles and Practice20032New JerseyPrentice Hall6768 RivestR LShamirAAdlemanLA method for obtaining digital signatures and public-key cryptosystemsCommun ACM19782112012670010310.1145/359340.3593420368.94005 BennettC HBrassardGQuantum cryptography: public-key distribution and coin tossing19841751791306.81030 ZengG HKeitelC HArbitrated quantum-signature schemePhys Rev A20026516 WenX JChenY ZFangJ BAn inter-bank E-payment protocol based on quantum proxy blind signatureQuant Inf Process201312549558313950610.1007/s11128-012-0398-31277.94044 GottesmanDChuangIQuantum digital signatures2001 WenX JNiuX MJiL PA weak blind signature scheme based on quantum cryptographyOptics Commun200928266666910.1016/j.optcom.2008.10.025 VogelHA better way to construct the sunflower headMath Biosci19794417918910.1016/0025-5564(79)90080-4 LiF GShiraseMTakagiTCryptanalysis of efficient proxy signature schemes for mobile communicationSci China Inf Sci20105320162021268490910.1007/s11432-010-4012-y CramerRShoupVSignature schemes based on the strong RSA assumptionACM Trans Inf Syst Secur2000316118510.1145/357830.357847 VajdaSFibonacci and Lucas Numbers, and the Golden Section: Theory and Applications1989New YorkEllis Horwood Ltd.-Halsted Press0695.10001 MishraMMishraPAdhikaryM CImage encryption using Fibonacci-Lucas transformationInt J Cryptogr Inf Secur20122131141 ArrazolaJ MWalldenPAnderssonEMultiparty quantum signature schemesQuantum Inf Comput2016604353496654 ChaumDHeystE VGroup signatures1991BerlinSpringer2572650791.68044 CollinsR JDonaldsonR JDunjkoVRealization of quantum digital signatures without the requirement of quantum memoryPhys Rev Lett201411304050210.1103/PhysRevLett.113.040502 SimonD SLawrenceNTrevinoJHigh-capacity quantum Fibonacci coding for key distributionPhys Rev A20138703231210.1103/PhysRevA.87.032312 WangT YCaiX QZhangR LSecurity of a sessional blind signature based on quantum cryptographQuant Inf Process20141316771685322853210.1007/s11128-014-0760-81305.81071 CaiX QZhengY HZhangR LCryptanalysis of a batch proxy quantum blind signature schemeInt J Theor Phys2014533109311510.1007/s10773-014-2107-81297.81058 DunjkoVWalldenPAnderssonEQuantum digital signatures without quantum memoryPhys Rev Lett201411204050210.1103/PhysRevLett.112.040502 ShiJ JShiR HGuoYBatch proxy quantum blind signature schemeSci China Inf Sci2013560521153067634 SimonD SFitzpatrickC ASergienkoA VDiscrimination and synthesis of recursive quantum states in highdimensional Hilbert spacesPhys Rev A20159104380610.1103/PhysRevA.91.043806 EkertA KQuantum cryptography based on Bell’s theoremPhys Rev Lett199167661663111881010.1103/PhysRevLett.67.6610990.94509 WalldenPDunjkoVKentAQuantum digital signatures with quantum-key-distribution componentsPhys Rev A20159104230410.1103/PhysRevA.91.042304 ElGamalTA public key cryptosystem and a signature scheme based on discrete logarithms1984BerlinSpringer10181359.94590 EsmaeiliMMoosaviMGulliverT AA new class of Fibonacci sequence based error correcting codesCryptogr Commun20179379396360679910.1007/s12095-015-0178-x06682784 WangT YWenQ YFair quantum blind signaturesChin Phys B20101906030710.1088/1674-1056/19/6/060307 AmiriRWalldenPKentASecure quantum signatures using insecure quantum channelsPhys Rev A20169303232510.1103/PhysRevA.93.032325 YinH LFuYChenZ BPractical quantum digital signaturePhys Rev A20169303231610.1103/PhysRevA.93.032316 WangT YCaiX QRenY LSecurity of quantum digital signatures for classical messagesSci Rep20145923110.1038/srep09231 AmiriRAnderssonEUnconditionally secure quantum signaturesEntropy20151756355659339401910.3390/e170856351338.81158 T Y Wang (9061_CR15) 2014; 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| References_xml | – reference: WangT YCaiX QZhangR LSecurity of a sessional blind signature based on quantum cryptographQuant Inf Process20141316771685322853210.1007/s11128-014-0760-81305.81071 – reference: WilliamSCryptography and Network Security: Principles and Practice20032New JerseyPrentice Hall6768 – reference: BennettC HBrassardGQuantum cryptography: public-key distribution and coin tossing19841751791306.81030 – reference: ZengG HKeitelC HArbitrated quantum-signature schemePhys Rev A20026516 – reference: ReyASanchezGOn the security of the golden cryptographyInt J Netw Secur20087448450 – reference: WangT YWenQ YFair quantum blind signaturesChin Phys B20101906030710.1088/1674-1056/19/6/060307 – reference: StakhovA PFibonacci matrices, a generalization of the cassini formula and a new coding theoryChaos Soliton Fract2006305666223089110.1016/j.chaos.2005.12.0541149.94338 – reference: ArrazolaJ MWalldenPAnderssonEMultiparty quantum signature schemesQuantum Inf Comput2016604353496654 – reference: ChaumDHeystE VGroup signatures1991BerlinSpringer2572650791.68044 – reference: WenX JChenY ZFangJ BAn inter-bank E-payment protocol based on quantum proxy blind signatureQuant Inf Process201312549558313950610.1007/s11128-012-0398-31277.94044 – reference: WalldenPDunjkoVKentAQuantum digital signatures with quantum-key-distribution componentsPhys Rev A20159104230410.1103/PhysRevA.91.042304 – reference: VogelHA better way to construct the sunflower headMath Biosci19794417918910.1016/0025-5564(79)90080-4 – reference: ShorP WPolynomial-time algorithms for prime factorization and discrete logarithms on a quantum computerSIAM Rev199941303332168454610.1137/S00361445983470111005.11507 – reference: DunjkoVWalldenPAnderssonEQuantum digital signatures without quantum memoryPhys Rev Lett201411204050210.1103/PhysRevLett.112.040502 – reference: DonaldsonR JCollinsR JKleczkowskaKExperimental demonstration of kilometer-range quantum digital signaturesPhys Rev A20169301232910.1103/PhysRevA.93.012329 – reference: RivestR LShamirAAdlemanLA method for obtaining digital signatures and public-key cryptosystemsCommun ACM19782112012670010310.1145/359340.3593420368.94005 – reference: LiF GShiraseMTakagiTCryptanalysis of efficient proxy signature schemes for mobile communicationSci China Inf Sci20105320162021268490910.1007/s11432-010-4012-y – reference: MishraMMishraPAdhikaryM CImage encryption using Fibonacci-Lucas transformationInt J Cryptogr Inf Secur20122131141 – reference: ShiJ JShiR HGuoYBatch proxy quantum blind signature schemeSci China Inf Sci2013560521153067634 – reference: GottesmanDChuangIQuantum digital signatures2001 – reference: VajdaSFibonacci and Lucas Numbers, and the Golden Section: Theory and Applications1989New YorkEllis Horwood Ltd.-Halsted Press0695.10001 – reference: YinH LFuYChenZ BPractical quantum digital signaturePhys Rev A20169303231610.1103/PhysRevA.93.032316 – reference: CaiX QZhengY HZhangR LCryptanalysis of a batch proxy quantum blind signature schemeInt J Theor Phys2014533109311510.1007/s10773-014-2107-81297.81058 – reference: AmiriRAnderssonEUnconditionally secure quantum signaturesEntropy20151756355659339401910.3390/e170856351338.81158 – reference: EkertA KQuantum cryptography based on Bell’s theoremPhys Rev Lett199167661663111881010.1103/PhysRevLett.67.6610990.94509 – reference: WenX JNiuX MJiL PA weak blind signature scheme based on quantum cryptographyOptics Commun200928266666910.1016/j.optcom.2008.10.025 – reference: SimonD SFitzpatrickC ASergienkoA VDiscrimination and synthesis of recursive quantum states in highdimensional Hilbert spacesPhys Rev A20159104380610.1103/PhysRevA.91.043806 – reference: CramerRShoupVSignature schemes based on the strong RSA assumptionACM Trans Inf Syst Secur2000316118510.1145/357830.357847 – reference: EsmaeiliMMoosaviMGulliverT AA new class of Fibonacci sequence based error correcting codesCryptogr Commun20179379396360679910.1007/s12095-015-0178-x06682784 – 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| Snippet | Recently, many quantum digital signature（QDS） schemes have been proposed to authenticate the integration of a message. However, these quantum signature schemes... Recently, many quantum digital signature (QDS) schemes have been proposed to authenticate the integration of a message. However, these quantum signature... |
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| SubjectTerms | Algorithms Computer Science Digital signatures Efficiency Fibonacci Fibonacci numbers Information science Information Systems and Communication Service Lucas Messages Quantum cryptography Research Paper 多量子 数字签名方案 斐波那契 矩阵编码 签名验证 量子密钥分发 |
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| Title | An efficient quantum blind digital signature scheme |
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