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題名 零知識憑證之通用性改良與比較
Generalized improvements and comparisons of zkCredential
作者 陳品豪
Chen, Pin-Hao
貢獻者 曾一凡
Tseng, Yi-Fan
陳品豪
Chen, Pin-Hao
關鍵詞 零知識證明
匿名憑證
區塊鏈
Blockchain
Zero Knowledge Proof
Plonk
NIZK
Anonymous Credential
ZK Credential
日期 2024
上傳時間 4-九月-2024 15:00:07 (UTC+8)
摘要 這篇論文透過整合 PlonK 證明系統來研究 ZK 憑證的增強和泛化，解決零知識證明中普遍性和效率的關鍵挑戰。我們的研究提出了一種採用 Plonk 的新方法，這個方法消除了重複設置過程的需求，並優化了證明的可擴展性和靈活性。我們系統地比較了各種設置中的證明時間、驗證時間和證明大小，展示了相較於傳統系統的顯著改進。這項工作透過提供一個更具適應性和高效的 ZK 憑證框架，為密碼學界做出了貢獻，支持零知識證明在保護數位身份和交易中的廣泛應用。
This thesis investigates the enhancement and generalization of ZK Credentials through the integration of the PlonK proof system, addressing the key challenges of universality and efficiency in zero-knowledge proofs. Our study presents a novel approach by adopting Plonk, which eliminates the need for repetitive setup processes and optimizes proof scalability and flexibility. We systematically compare proof times, verification times, and proof sizes within various setups, demonstrating significant improvements over traditional systems. The work contributes to the cryptographic community by providing a more adaptable and efficient framework for ZK Credentials, supporting the broader application of zero-knowledge proofs in securing digital identities and transactions.
參考文獻 Bibliography [A22] Arkworks. “Arkworks”. In: Arkworks (no date) GitHub. Available at: https://github.com/arkworks-rs/ . 2022 [ACLM+22] Martin R Albrecht et al. “Lattice-based SNARKs: publicly verifiable, pre-processing, and recursively composable”. In: Annual International Cryptology Conference. Springer. 2022, pp. 102–132. [BBHR18] Eli Ben-Sasson et al. “Scalable, transparent, and post-quantum secure computational integrity”. In: Cryptology ePrint Archive (2018). [BC23] Benedikt Bünz and Binyi Chen. “Protostar: Generic Efficient Accumulation/Folding for Special-Sound Protocols”. In: International Conference on the Theory and Application of Cryptology and Information Security. Springer. 2023, pp. 77–110. [BCRS+19] Eli Ben-Sasson et al. “Aurora: Transparent succinct arguments for R1CS”. In: Advances in Cryptology–EUROCRYPT 2019: 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Darmstadt, Germany, May 19–23, 2019, Proceedings, Part I 38. Springer. 2019, pp. 103–128. [BL13] Foteini Baldimtsi and Anna Lysyanskaya. “Anonymous credentials light”. In: Proceedings of the 2013 ACM SIGSAC conference on Computer & communications security. 2013, pp. 1087–1098. [C01] Ran Canetti. “Universally composable security: A new paradigm for cryptographic protocols”. In: Proceedings 42nd IEEE Symposium on Foundations of Computer Science. IEEE. 2001, pp. 136–145. 29 [C85] David Chaum. “Security without identification: Transaction systems to make big brother obsolete”. In: Communications of the ACM 28.10 (1985), pp. 1030–1044. [CBBZ23] Binyi Chen et al. “Hyperplonk: Plonk with linear-time prover and high-degree custom gates”. In: Annual International Conference on the Theory and Applications of Cryptographic Techniques. Springer. 2023, pp. 499–530. [CDHK15] Jan Camenisch et al. “Composable and modular anonymous credentials: Definitions and practical constructions”. In: Advances in Cryptology–ASIACRYPT 2015: 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November29–December 3, 2015, Proceedings, Part II 21. Springer. 2015, pp. 262–288. [CL03] Jan Camenisch and Anna Lysyanskaya. “A signature scheme with efficient protocols”. In: Security in Communication Networks: Third International Conference, SCN 2002 Amalfi, Italy, September 11–13, 2002 Revised Papers 3. Springer. 2003, pp. 268–289. [CL04] Jan Camenisch and Anna Lysyanskaya. “Signature schemes and anonymous credentials from bilinear maps”. In: Annual international cryptology conference. Springer. 2004, pp. 56–72. [E24] EspressoSystem. “Jellyfish”. In: EspressoSystems (no date) EspressoSystems/Jellyfish: A Rust implementation of the plonk ZKP system and extensions, GitHub. Available at: https://github.com/EspressoSystems/jellyfish/. 2024. [G16] Jens Groth. “On the size of pairing-based non-interactive arguments”. In: Advances in Cryptology–EUROCRYPT 2016: 35th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Vienna, Austria, May 8-12, 2016, Proceedings, Part II 35. Springer. 2016, pp. 305–326. 30 [GGM13] Christina Garman, Matthew Green, and Ian Miers. “Decentralized anonymous credentials”. In: Cryptology ePrint Archive (2013). [GWC19] Ariel Gabizon, Zachary J Williamson, and Oana Ciobotaru. “Plonk: Permutations over lagrange-bases for oecumenical noninteractive arguments of knowledge”. In: Cryptology ePrint Archive (2019). [KST22] Abhiram Kothapalli, Srinath Setty, and Ioanna Tzialla. “Nova: Recursive zero-knowledge arguments from folding schemes”. In: Annual International Cryptology Conference. Springer. 2022, pp. 359–388. [KZG10] Aniket Kate, Gregory M Zaverucha, and Ian Goldberg. “Constant-size commitments to polynomials and their applications”. In: Advances in Cryptology- ASIACRYPT 2010: 16th International Conference on the Theory and Application of Cryptology and Information Security, Singapore, December 5-9, 2010. Proceedings 16. Springer. 2010, pp. 177–194. [RWGM23] Michael Rosenberg et al. “zk-creds: Flexible anonymous credentials from zksnarks and existing identity infrastructure”. In: 2023 IEEE Symposium on Security and Privacy (SP). IEEE. 2023, pp. 790–808. [SABM+18] Alberto Sonnino et al. “Coconut: Threshold issuance selective disclosure credentials with applications to distributed ledgers”. In: arXiv preprint arXiv:1802.07344 (2018).
描述 碩士
國立政治大學
資訊科學系
111753140
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0111753140
資料類型 thesis
dc.contributor.advisor 曾一凡zh_TW
dc.contributor.advisor Tseng, Yi-Fanen_US
dc.contributor.author (作者) 陳品豪zh_TW
dc.contributor.author (作者) Chen, Pin-Haoen_US
dc.creator (作者) 陳品豪zh_TW
dc.creator (作者) Chen, Pin-Haoen_US
dc.date (日期) 2024en_US
dc.date.accessioned 4-九月-2024 15:00:07 (UTC+8)-
dc.date.available 4-九月-2024 15:00:07 (UTC+8)-
dc.date.issued (上傳時間) 4-九月-2024 15:00:07 (UTC+8)-
dc.identifier (其他 識別碼) G0111753140en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/153380-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 資訊科學系zh_TW
dc.description (描述) 111753140zh_TW
dc.description.abstract (摘要) 這篇論文透過整合 PlonK 證明系統來研究 ZK 憑證的增強和泛化，解決零知識證明中普遍性和效率的關鍵挑戰。我們的研究提出了一種採用 Plonk 的新方法，這個方法消除了重複設置過程的需求，並優化了證明的可擴展性和靈活性。我們系統地比較了各種設置中的證明時間、驗證時間和證明大小，展示了相較於傳統系統的顯著改進。這項工作透過提供一個更具適應性和高效的 ZK 憑證框架，為密碼學界做出了貢獻，支持零知識證明在保護數位身份和交易中的廣泛應用。zh_TW
dc.description.abstract (摘要) This thesis investigates the enhancement and generalization of ZK Credentials through the integration of the PlonK proof system, addressing the key challenges of universality and efficiency in zero-knowledge proofs. Our study presents a novel approach by adopting Plonk, which eliminates the need for repetitive setup processes and optimizes proof scalability and flexibility. We systematically compare proof times, verification times, and proof sizes within various setups, demonstrating significant improvements over traditional systems. The work contributes to the cryptographic community by providing a more adaptable and efficient framework for ZK Credentials, supporting the broader application of zero-knowledge proofs in securing digital identities and transactions.en_US
dc.description.tableofcontents 1 Introduction 1 2 Preliminaries 4 2.1 Anonymous credentials 4 2.1.1 System Components 5 2.1.2 Properties 5 2.1.3 Instance 6 2.2 Proof Systems 7 2.2.1 Frontend 7 2.2.2 Backend 9 2.2.3 PlonK Recap 10 2.3 Merkle Tree 11 2.4 Security definitions 13 2.4.1 Ideal functionality for zk-Creds 14 3 Construction 16 4 Analysis 24 5 Implementation 26 6 Conclusion 27 Bibliography 29 A 32zh_TW
dc.format.extent 1354936 bytes-
dc.format.mimetype application/pdf-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0111753140en_US
dc.subject (關鍵詞) 零知識證明zh_TW
dc.subject (關鍵詞) 匿名憑證zh_TW
dc.subject (關鍵詞) 區塊鏈zh_TW
dc.subject (關鍵詞) Blockchainen_US
dc.subject (關鍵詞) Zero Knowledge Proofen_US
dc.subject (關鍵詞) Plonken_US
dc.subject (關鍵詞) NIZKen_US
dc.subject (關鍵詞) Anonymous Credentialen_US
dc.subject (關鍵詞) ZK Credentialen_US
dc.title (題名) 零知識憑證之通用性改良與比較zh_TW
dc.title (題名) Generalized improvements and comparisons of zkCredentialen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) Bibliography [A22] Arkworks. “Arkworks”. In: Arkworks (no date) GitHub. Available at: https://github.com/arkworks-rs/ . 2022 [ACLM+22] Martin R Albrecht et al. “Lattice-based SNARKs: publicly verifiable, pre-processing, and recursively composable”. In: Annual International Cryptology Conference. Springer. 2022, pp. 102–132. [BBHR18] Eli Ben-Sasson et al. “Scalable, transparent, and post-quantum secure computational integrity”. In: Cryptology ePrint Archive (2018). [BC23] Benedikt Bünz and Binyi Chen. “Protostar: Generic Efficient Accumulation/Folding for Special-Sound Protocols”. In: International Conference on the Theory and Application of Cryptology and Information Security. Springer. 2023, pp. 77–110. [BCRS+19] Eli Ben-Sasson et al. “Aurora: Transparent succinct arguments for R1CS”. In: Advances in Cryptology–EUROCRYPT 2019: 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Darmstadt, Germany, May 19–23, 2019, Proceedings, Part I 38. Springer. 2019, pp. 103–128. [BL13] Foteini Baldimtsi and Anna Lysyanskaya. “Anonymous credentials light”. In: Proceedings of the 2013 ACM SIGSAC conference on Computer & communications security. 2013, pp. 1087–1098. [C01] Ran Canetti. “Universally composable security: A new paradigm for cryptographic protocols”. In: Proceedings 42nd IEEE Symposium on Foundations of Computer Science. IEEE. 2001, pp. 136–145. 29 [C85] David Chaum. “Security without identification: Transaction systems to make big brother obsolete”. In: Communications of the ACM 28.10 (1985), pp. 1030–1044. [CBBZ23] Binyi Chen et al. “Hyperplonk: Plonk with linear-time prover and high-degree custom gates”. In: Annual International Conference on the Theory and Applications of Cryptographic Techniques. Springer. 2023, pp. 499–530. [CDHK15] Jan Camenisch et al. “Composable and modular anonymous credentials: Definitions and practical constructions”. In: Advances in Cryptology–ASIACRYPT 2015: 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November29–December 3, 2015, Proceedings, Part II 21. Springer. 2015, pp. 262–288. [CL03] Jan Camenisch and Anna Lysyanskaya. “A signature scheme with efficient protocols”. In: Security in Communication Networks: Third International Conference, SCN 2002 Amalfi, Italy, September 11–13, 2002 Revised Papers 3. Springer. 2003, pp. 268–289. [CL04] Jan Camenisch and Anna Lysyanskaya. “Signature schemes and anonymous credentials from bilinear maps”. In: Annual international cryptology conference. Springer. 2004, pp. 56–72. [E24] EspressoSystem. “Jellyfish”. In: EspressoSystems (no date) EspressoSystems/Jellyfish: A Rust implementation of the plonk ZKP system and extensions, GitHub. Available at: https://github.com/EspressoSystems/jellyfish/. 2024. [G16] Jens Groth. “On the size of pairing-based non-interactive arguments”. In: Advances in Cryptology–EUROCRYPT 2016: 35th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Vienna, Austria, May 8-12, 2016, Proceedings, Part II 35. Springer. 2016, pp. 305–326. 30 [GGM13] Christina Garman, Matthew Green, and Ian Miers. “Decentralized anonymous credentials”. In: Cryptology ePrint Archive (2013). [GWC19] Ariel Gabizon, Zachary J Williamson, and Oana Ciobotaru. “Plonk: Permutations over lagrange-bases for oecumenical noninteractive arguments of knowledge”. In: Cryptology ePrint Archive (2019). [KST22] Abhiram Kothapalli, Srinath Setty, and Ioanna Tzialla. “Nova: Recursive zero-knowledge arguments from folding schemes”. In: Annual International Cryptology Conference. Springer. 2022, pp. 359–388. [KZG10] Aniket Kate, Gregory M Zaverucha, and Ian Goldberg. “Constant-size commitments to polynomials and their applications”. In: Advances in Cryptology- ASIACRYPT 2010: 16th International Conference on the Theory and Application of Cryptology and Information Security, Singapore, December 5-9, 2010. Proceedings 16. Springer. 2010, pp. 177–194. [RWGM23] Michael Rosenberg et al. “zk-creds: Flexible anonymous credentials from zksnarks and existing identity infrastructure”. In: 2023 IEEE Symposium on Security and Privacy (SP). IEEE. 2023, pp. 790–808. [SABM+18] Alberto Sonnino et al. “Coconut: Threshold issuance selective disclosure credentials with applications to distributed ledgers”. In: arXiv preprint arXiv:1802.07344 (2018).zh_TW