{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,30]],"date-time":"2025-05-30T04:47:41Z","timestamp":1748580461517,"version":"3.40.3"},"publisher-location":"Cham","reference-count":46,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030172589"},{"type":"electronic","value":"9783030172596"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-17259-6_8","type":"book-chapter","created":{"date-parts":[[2019,4,7]],"date-time":"2019-04-07T23:02:48Z","timestamp":1554678168000},"page":"223-253","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Adaptively Single-Key Secure Constrained PRFs for $$\\mathrm {NC}^1$$"],"prefix":"10.1007","author":[{"given":"Nuttapong","family":"Attrapadung","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Takahiro","family":"Matsuda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ryo","family":"Nishimaki","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shota","family":"Yamada","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Takashi","family":"Yamakawa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,4,6]]},"reference":[{"key":"8_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"413","DOI":"10.1007\/978-3-319-29485-8_24","volume-title":"Topics in Cryptology - CT-RSA 2016","author":"H Abusalah","year":"2016","unstructured":"Abusalah, H., Fuchsbauer, G., Pietrzak, K.: Constrained PRFs for unbounded inputs. In: Sako, K. (ed.) CT-RSA 2016. LNCS, vol. 9610, pp. 413\u2013428. Springer, Cham (2016). https:\/\/doi.org\/10.1007\/978-3-319-29485-8_24"},{"key":"8_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1007\/978-3-319-96881-0_19","volume-title":"Advances in Cryptology \u2013 CRYPTO 2018","author":"N Attrapadung","year":"2018","unstructured":"Attrapadung, N., Matsuda, T., Nishimaki, R., Yamada, S., Yamakawa, T.: Constrained PRFs for $$\\rm NC^1$$ in traditional groups. In: Shacham, H., Boldyreva, A. (eds.) CRYPTO 2018, Part II. LNCS, vol. 10992, pp. 543\u2013574. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-96881-0_19"},{"key":"8_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1007\/978-3-662-46497-7_2","volume-title":"Theory of Cryptography","author":"A Banerjee","year":"2015","unstructured":"Banerjee, A., Fuchsbauer, G., Peikert, C., Pietrzak, K., Stevens, S.: Key-homomorphic constrained pseudorandom functions. In: Dodis, Y., Nielsen, J.B. (eds.) TCC 2015, Part II. LNCS, vol. 9015, pp. 31\u201360. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46497-7_2"},{"issue":"2","key":"8_CR4","doi-asserted-by":"publisher","first-page":"6:1","DOI":"10.1145\/2160158.2160159","volume":"59","author":"B Barak","year":"2012","unstructured":"Barak, B., Goldreich, O., Impagliazzo, R., Rudich, S., Sahai, A., Vadhan, S.P., Yang, K.: On the (im)possibility of obfuscating programs. J. ACM 59(2), 6:1\u20136:48 (2012)","journal-title":"J. ACM"},{"key":"8_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1007\/978-3-642-01001-9_24","volume-title":"Advances in Cryptology - EUROCRYPT 2009","author":"M Bellare","year":"2009","unstructured":"Bellare, M., Ristenpart, T.: Simulation without the artificial abort: simplified proof and improved concrete security for Waters\u2019 IBE scheme. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol. 5479, pp. 407\u2013424. Springer, Heidelberg (2009). https:\/\/doi.org\/10.1007\/978-3-642-01001-9_24"},{"key":"8_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"567","DOI":"10.1007\/978-3-319-70503-3_19","volume-title":"Theory of Cryptography","author":"N Bitansky","year":"2017","unstructured":"Bitansky, N.: Verifiable random functions from non-interactive witness-indistinguishable proofs. In: Kalai, Y., Reyzin, L. (eds.) TCC 2017, Part II. LNCS, vol. 10678, pp. 567\u2013594. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-70503-3_19"},{"key":"8_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1007\/978-3-540-28628-8_27","volume-title":"Advances in Cryptology \u2013 CRYPTO 2004","author":"D Boneh","year":"2004","unstructured":"Boneh, D., Boyen, X.: Secure identity based encryption without random oracles. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 443\u2013459. Springer, Heidelberg (2004). https:\/\/doi.org\/10.1007\/978-3-540-28628-8_27"},{"key":"8_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1007\/978-3-319-56620-7_15","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2017","author":"D Boneh","year":"2017","unstructured":"Boneh, D., Kim, S., Montgomery, H.W.: Private puncturable PRFs from standard lattice assumptions. In: Coron, J.-S., Nielsen, J.B. (eds.) EUROCRYPT 2017, Part I. LNCS, vol. 10210, pp. 415\u2013445. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-56620-7_15"},{"key":"8_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"494","DOI":"10.1007\/978-3-662-54388-7_17","volume-title":"Public-Key Cryptography \u2013 PKC 2017","author":"D Boneh","year":"2017","unstructured":"Boneh, D., Lewi, K., Wu, D.J.: Constraining pseudorandom functions privately. In: Fehr, S. (ed.) PKC 2017, Part II. LNCS, vol. 10175, pp. 494\u2013524. Springer, Heidelberg (2017). https:\/\/doi.org\/10.1007\/978-3-662-54388-7_17"},{"key":"8_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"280","DOI":"10.1007\/978-3-642-42045-0_15","volume-title":"Advances in Cryptology - ASIACRYPT 2013","author":"D Boneh","year":"2013","unstructured":"Boneh, D., Waters, B.: Constrained pseudorandom functions and their applications. In: Sako, K., Sarkar, P. (eds.) ASIACRYPT 2013, Part II. LNCS, vol. 8270, pp. 280\u2013300. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-42045-0_15"},{"key":"8_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"480","DOI":"10.1007\/978-3-662-44371-2_27","volume-title":"Advances in Cryptology \u2013 CRYPTO 2014","author":"D Boneh","year":"2014","unstructured":"Boneh, D., Zhandry, M.: Multiparty key exchange, efficient traitor tracing, and more from indistinguishability obfuscation. In: Garay, J.A., Gennaro, R. (eds.) CRYPTO 2014, Part I. LNCS, vol. 8616, pp. 480\u2013499. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-662-44371-2_27"},{"key":"8_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1007\/978-3-642-54631-0_29","volume-title":"Public-Key Cryptography \u2013 PKC 2014","author":"E Boyle","year":"2014","unstructured":"Boyle, E., Goldwasser, S., Ivan, I.: Functional signatures and pseudorandom functions. In: Krawczyk, H. (ed.) PKC 2014. LNCS, vol. 8383, pp. 501\u2013519. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-642-54631-0_29"},{"key":"8_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"264","DOI":"10.1007\/978-3-319-70500-2_10","volume-title":"Theory of Cryptography","author":"Z Brakerski","year":"2017","unstructured":"Brakerski, Z., Tsabary, R., Vaikuntanathan, V., Wee, H.: Private constrained PRFs (and More) from LWE. In: Kalai, Y., Reyzin, L. (eds.) TCC 2017, Part I. LNCS, vol. 10677, pp. 264\u2013302. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-70500-2_10"},{"key":"8_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-662-46497-7_1","volume-title":"Theory of Cryptography","author":"Z Brakerski","year":"2015","unstructured":"Brakerski, Z., Vaikuntanathan, V.: Constrained key-homomorphic PRFs from standard lattice assumptions - or: how to secretly embed a circuit in your PRF. In: Dodis, Y., Nielsen, J.B. (eds.) TCC 2015, Part II. LNCS, vol. 9015, pp. 1\u201330. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46497-7_1"},{"key":"8_CR15","doi-asserted-by":"crossref","unstructured":"Canetti, R., Chen, Y.: Constraint-hiding constrained PRFs for NC1 from LWE. Cryptology ePrint Archive, Report 2017\/143 (2017)","DOI":"10.1007\/978-3-319-56620-7_16"},{"key":"8_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"446","DOI":"10.1007\/978-3-319-56620-7_16","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2017","author":"R Canetti","year":"2017","unstructured":"Canetti, R., Chen, Y.: Constraint-hiding constrained PRFs for NC$$^1$$ from LWE. In: Coron, J.-S., Nielsen, J.B. (eds.) EUROCRYPT 2017, Part I. LNCS, vol. 10210, pp. 446\u2013476. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-56620-7_16"},{"issue":"4","key":"8_CR17","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1145\/1008731.1008734","volume":"51","author":"R Canetti","year":"2004","unstructured":"Canetti, R., Goldreich, O., Halevi, S.: The random oracle methodology, revisited. J. ACM 51(4), 557\u2013594 (2004)","journal-title":"J. ACM"},{"key":"8_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"468","DOI":"10.1007\/978-3-662-46497-7_19","volume-title":"Theory of Cryptography","author":"R Canetti","year":"2015","unstructured":"Canetti, R., Lin, H., Tessaro, S., Vaikuntanathan, V.: Obfuscation of probabilistic circuits and applications. In: Dodis, Y., Nielsen, J.B. (eds.) TCC 2015, Part II. LNCS, vol. 9015, pp. 468\u2013497. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46497-7_19"},{"issue":"4","key":"8_CR19","doi-asserted-by":"publisher","first-page":"601","DOI":"10.1007\/s00145-011-9105-2","volume":"25","author":"D Cash","year":"2012","unstructured":"Cash, D., Hofheinz, D., Kiltz, E., Peikert, C.: Bonsai trees, or how to delegate a lattice basis. J. Cryptol. 25(4), 601\u2013639 (2012)","journal-title":"J. Cryptol."},{"issue":"4","key":"8_CR20","doi-asserted-by":"publisher","first-page":"833","DOI":"10.1137\/0214058","volume":"14","author":"SA Cook","year":"1985","unstructured":"Cook, S.A., Hoover, H.J.: A depth-universal circuit. SIAM J. Comput. 14(4), 833\u2013839 (1985)","journal-title":"SIAM J. Comput."},{"key":"8_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1007\/978-3-662-54388-7_16","volume-title":"Public-Key Cryptography \u2013 PKC 2017","author":"P Datta","year":"2017","unstructured":"Datta, P., Dutta, R., Mukhopadhyay, S.: Constrained pseudorandom functions for unconstrained inputs revisited: achieving verifiability and key delegation. In: Fehr, S. (ed.) PKC 2017, Part II. LNCS, vol. 10175, pp. 463\u2013493. Springer, Heidelberg (2017). https:\/\/doi.org\/10.1007\/978-3-662-54388-7_16"},{"key":"8_CR22","unstructured":"Davidson, A., Katsumata, S., Nishimaki, R., Yamada, S.: Constrained PRFs for bit-fixing from OWFs with constant collusion resistance, IACR Cryptology ePrint Archive 2018\/982 (2018)"},{"key":"8_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1007\/978-3-662-49896-5_5","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2016","author":"A Deshpande","year":"2016","unstructured":"Deshpande, A., Koppula, V., Waters, B.: Constrained pseudorandom functions for unconstrained inputs. In: Fischlin, M., Coron, J.-S. (eds.) EUROCRYPT 2016, Part II. LNCS, vol. 9666, pp. 124\u2013153. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49896-5_5"},{"key":"8_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1007\/978-3-642-13190-5_3","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2010","author":"DM Freeman","year":"2010","unstructured":"Freeman, D.M.: Converting pairing-based cryptosystems from composite-order groups to prime-order groups. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 44\u201361. Springer, Heidelberg (2010). https:\/\/doi.org\/10.1007\/978-3-642-13190-5_3"},{"key":"8_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1007\/978-3-642-40041-4_28","volume-title":"Advances in Cryptology \u2013 CRYPTO 2013","author":"ESV Freire","year":"2013","unstructured":"Freire, E.S.V., Hofheinz, D., Paterson, K.G., Striecks, C.: Programmable hash functions in the multilinear setting. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013, Part I. LNCS, vol. 8042, pp. 513\u2013530. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-40041-4_28"},{"key":"8_CR26","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1007\/978-3-662-45608-8_5","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2014","author":"G Fuchsbauer","year":"2014","unstructured":"Fuchsbauer, G., Konstantinov, M., Pietrzak, K., Rao, V.: Adaptive security of constrained PRFs. In: Sarkar, P., Iwata, T. (eds.) ASIACRYPT 2014, Part II. LNCS, vol. 8874, pp. 82\u2013101. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-662-45608-8_5"},{"issue":"3","key":"8_CR27","doi-asserted-by":"publisher","first-page":"882","DOI":"10.1137\/14095772X","volume":"45","author":"S Garg","year":"2016","unstructured":"Garg, S., Gentry, C., Halevi, S., Raykova, M., Sahai, A., Waters, B.: Candidate indistinguishability obfuscation and functional encryptionfor all circuits. SIAM J. Comput. 45(3), 882\u2013929 (2016)","journal-title":"SIAM J. Comput."},{"key":"8_CR28","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804106","volume-title":"Computational Complexity - A Conceptual Perspective","author":"O Goldreich","year":"2008","unstructured":"Goldreich, O.: Computational Complexity - A Conceptual Perspective. Cambridge University Press, Cambridge (2008)"},{"issue":"4","key":"8_CR29","doi-asserted-by":"publisher","first-page":"792","DOI":"10.1145\/6490.6503","volume":"33","author":"O Goldreich","year":"1986","unstructured":"Goldreich, O., Goldwasser, S., Micali, S.: How to construct random functions. J. ACM 33(4), 792\u2013807 (1986)","journal-title":"J. ACM"},{"key":"8_CR30","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1007\/978-3-319-70503-3_18","volume-title":"Theory of Cryptography","author":"R Goyal","year":"2017","unstructured":"Goyal, R., Hohenberger, S., Koppula, V., Waters, B.: A generic approach to constructing and proving verifiable random functions. In: Kalai, Y., Reyzin, L. (eds.) TCC 2017, Part II. LNCS, vol. 10678, pp. 537\u2013566. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-70503-3_18"},{"key":"8_CR31","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1007\/978-3-662-44371-2_15","volume-title":"Advances in Cryptology \u2013 CRYPTO 2014","author":"G Herold","year":"2014","unstructured":"Herold, G., Hesse, J., Hofheinz, D., R\u00e0fols, C., Rupp, A.: Polynomial spaces: a new framework for composite-to-prime-order transformations. In: Garay, J.A., Gennaro, R. (eds.) CRYPTO 2014, Part I. LNCS, vol. 8616, pp. 261\u2013279. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-662-44371-2_15"},{"key":"8_CR32","doi-asserted-by":"crossref","unstructured":"Hofheinz, D., Kamath, A., Koppula, V., Waters, B.: Adaptively secure constrained pseudorandom functions. In: FC 2019 (2019, to appear)","DOI":"10.1007\/978-3-030-32101-7_22"},{"key":"8_CR33","unstructured":"Hohenberger, S., Koppula, V., Waters, B.: Adaptively secure puncturable pseudorandom functions in the standard model. Cryptology ePrint Archive, Report 2014\/521 (2014)"},{"key":"8_CR34","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1007\/978-3-662-48797-6_4","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2015","author":"S Hohenberger","year":"2015","unstructured":"Hohenberger, S., Koppula, V., Waters, B.: Adaptively secure puncturable pseudorandom functions in the standard model. In: Iwata, T., Cheon, J.H. (eds.) ASIACRYPT 2015, Part I. LNCS, vol. 9452, pp. 79\u2013102. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-48797-6_4"},{"key":"8_CR35","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1007\/978-3-662-46497-7_5","volume-title":"Theory of Cryptography","author":"T Jager","year":"2015","unstructured":"Jager, T.: Verifiable random functions from weaker assumptions. In: Dodis, Y., Nielsen, J.B. (eds.) TCC 2015, Part II. LNCS, vol. 9015, pp. 121\u2013143. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46497-7_5"},{"key":"8_CR36","doi-asserted-by":"crossref","unstructured":"Kiayias, A., Papadopoulos, S., Triandopoulos, N., Zacharias, T.: Delegatable pseudorandom functions and applications. In: ACM CCS 2013, pp. 669\u2013684 (2013)","DOI":"10.1145\/2508859.2516668"},{"key":"8_CR37","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"318","DOI":"10.1007\/978-3-642-29011-4_20","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2012","author":"A Lewko","year":"2012","unstructured":"Lewko, A.: Tools for simulating features of composite order bilinear groups in the prime order setting. In: Pointcheval, D., Johansson, T. (eds.) EUROCRYPT 2012. LNCS, vol. 7237, pp. 318\u2013335. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-29011-4_20"},{"key":"8_CR38","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"597","DOI":"10.1007\/3-540-45708-9_38","volume-title":"Advances in Cryptology\u2014CRYPTO 2002","author":"A Lysyanskaya","year":"2002","unstructured":"Lysyanskaya, A.: Unique signatures and verifiable random functions from the DH-DDH separation. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 597\u2013612. Springer, Heidelberg (2002). https:\/\/doi.org\/10.1007\/3-540-45708-9_38"},{"issue":"2","key":"8_CR39","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1145\/972639.972643","volume":"51","author":"M Naor","year":"2004","unstructured":"Naor, M., Reingold, O.: Number-theoretic constructions of efficient pseudo-random functions. J. ACM 51(2), 231\u2013262 (2004)","journal-title":"J. ACM"},{"key":"8_CR40","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"675","DOI":"10.1007\/978-3-319-76581-5_23","volume-title":"Public-Key Cryptography \u2013 PKC 2018","author":"C Peikert","year":"2018","unstructured":"Peikert, C., Shiehian, S.: Privately constraining and programming PRFs, the LWE way. In: Abdalla, M., Dahab, R. (eds.) PKC 2018, Part II. LNCS, vol. 10770, pp. 675\u2013701. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-76581-5_23"},{"key":"8_CR41","doi-asserted-by":"crossref","unstructured":"Sahai, A., Waters, B.: How to use indistinguishability obfuscation: deniable encryption, and more. In: 46th ACM STOC, pp. 475\u2013484 (2014)","DOI":"10.1145\/2591796.2591825"},{"key":"8_CR42","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1007\/978-3-642-28914-9_8","volume-title":"Theory of Cryptography","author":"JH Seo","year":"2012","unstructured":"Seo, J.H., Cheon, J.H.: Beyond the limitation of prime-order bilinear groups, and round optimal blind signatures. In: Cramer, R. (ed.) TCC 2012. LNCS, vol. 7194, pp. 133\u2013150. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-28914-9_8"},{"issue":"6","key":"8_CR43","doi-asserted-by":"publisher","first-page":"1710","DOI":"10.1109\/18.556667","volume":"42","author":"M Sipser","year":"1996","unstructured":"Sipser, M., Spielman, D.A.: Expander codes. IEEE Trans. Inf. Theor. 42(6), 1710\u20131722 (1996)","journal-title":"IEEE Trans. Inf. Theor."},{"key":"8_CR44","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"114","DOI":"10.1007\/11426639_7","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2005","author":"B Waters","year":"2005","unstructured":"Waters, B.: Efficient identity-based encryption without random oracles. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 114\u2013127. Springer, Heidelberg (2005). https:\/\/doi.org\/10.1007\/11426639_7"},{"key":"8_CR45","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1007\/978-3-319-63697-9_6","volume-title":"Advances in Cryptology \u2013 CRYPTO 2017","author":"S Yamada","year":"2017","unstructured":"Yamada, S.: Asymptotically compact adaptively secure lattice IBEs and verifiable random functions via generalized partitioning techniques. In: Katz, J., Shacham, H. (eds.) CRYPTO 2017, Part III. LNCS, vol. 10403, pp. 161\u2013193. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-63697-9_6"},{"issue":"2","key":"8_CR46","doi-asserted-by":"publisher","first-page":"835","DOI":"10.1109\/18.910593","volume":"47","author":"G Z\u00e9mor","year":"2001","unstructured":"Z\u00e9mor, G.: On expander codes. IEEE Trans. Inf. Theor. 47(2), 835\u2013837 (2001)","journal-title":"IEEE Trans. Inf. Theor."}],"container-title":["Lecture Notes in Computer Science","Public-Key Cryptography \u2013 PKC 2019"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-17259-6_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,7]],"date-time":"2024-03-07T12:38:28Z","timestamp":1709815108000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-17259-6_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030172589","9783030172596"],"references-count":46,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-17259-6_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"6 April 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"PKC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"IACR International Workshop on Public Key Cryptography","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Beijing","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"China","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14 April 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 April 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"pkc2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/pkc.iacr.org\/2019\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}