{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,30]],"date-time":"2025-05-30T04:11:04Z","timestamp":1748578264055,"version":"3.41.0"},"publisher-location":"Cham","reference-count":42,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319219653"},{"type":"electronic","value":"9783319219660"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"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":[[2015]]},"DOI":"10.1007\/978-3-319-21966-0_13","type":"book-chapter","created":{"date-parts":[[2015,8,1]],"date-time":"2015-08-01T06:21:27Z","timestamp":1438410087000},"page":"176-190","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["New Security Proof for the Boneh-Boyen IBE: Tight Reduction in Unbounded Multi-challenge Security"],"prefix":"10.1007","author":[{"given":"Nuttapong","family":"Attrapadung","sequence":"first","affiliation":[]},{"given":"Goichiro","family":"Hanaoka","sequence":"additional","affiliation":[]},{"given":"Shota","family":"Yamada","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,8,2]]},"reference":[{"key":"13_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1007\/978-3-642-13190-5_28","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2010","author":"S Agrawal","year":"2010","unstructured":"Agrawal, S., Boneh, D., Boyen, X.: Efficient lattice (H)IBE in the standard model. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 553\u2013572. Springer, Heidelberg (2010)"},{"key":"13_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1007\/978-3-642-14623-7_6","volume-title":"Advances in Cryptology \u2013 CRYPTO 2010","author":"S Agrawal","year":"2010","unstructured":"Agrawal, S., Boneh, D., Boyen, X.: Lattice basis delegation in fixed dimension and shorter-ciphertext hierarchical IBE. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 98\u2013115. Springer, Heidelberg (2010)"},{"key":"13_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1007\/978-3-642-55220-5_31","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2014","author":"N Attrapadung","year":"2014","unstructured":"Attrapadung, N.: Dual system encryption via doubly selective security: framework, fully secure functional encryption for regular languages, and more. In: Nguyen, P.Q., Oswald, E. (eds.) EUROCRYPT 2014. LNCS, vol. 8441, pp. 557\u2013577. Springer, Heidelberg (2014)"},{"key":"13_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/11935070_2","volume-title":"Cryptology and Network Security","author":"N Attrapadung","year":"2006","unstructured":"Attrapadung, N., Furukawa, J., Gomi, T., Hanaoka, G., Imai, H., Zhang, R.: Efficient identity-based encryption with tight security reduction. In: Pointcheval, D., Mu, Y., Chen, K. (eds.) CANS 2006. LNCS, vol. 4301, pp. 19\u201336. Springer, Heidelberg (2006)"},{"key":"13_CR5","doi-asserted-by":"crossref","unstructured":"Bellare, M., Desai, A., Jokipii, E., Rogaway, P.: A concrete security treatment of symmetric encryption. In: FOCS, pp. 394\u2013403 (1997)","DOI":"10.1109\/SFCS.1997.646128"},{"key":"13_CR6","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)"},{"key":"13_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1007\/978-3-540-24676-3_14","volume-title":"Advances in Cryptology - EUROCRYPT 2004","author":"D Boneh","year":"2004","unstructured":"Boneh, D., Boyen, X.: Efficient selective-ID secure identity-based encryption without random oracles. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 223\u2013238. Springer, Heidelberg (2004)"},{"key":"13_CR8","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)"},{"key":"13_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1007\/978-3-540-24676-3_4","volume-title":"Advances in Cryptology - EUROCRYPT 2004","author":"D Boneh","year":"2004","unstructured":"Boneh, D., Boyen, X.: Short signatures without random oracles. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 56\u201373. Springer, Heidelberg (2004)"},{"key":"13_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1007\/3-540-44647-8_13","volume-title":"Advances in Cryptology - CRYPTO 2001","author":"D Boneh","year":"2001","unstructured":"Boneh, D., Franklin, M.: Identity-based encryption from the Weil pairing. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 213\u2013229. Springer, Heidelberg (2001)"},{"key":"13_CR11","doi-asserted-by":"crossref","unstructured":"Boneh, D., Gentry, C., Hamburg, M.: Space-efficient identity based encryption without pairings. In: FOCS, pp. 647\u2013657 (2007)","DOI":"10.1109\/FOCS.2007.4389533"},{"key":"13_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1007\/978-3-642-13013-7_29","volume-title":"Public Key Cryptography \u2013 PKC 2010","author":"X Boyen","year":"2010","unstructured":"Boyen, X.: Lattice mixing and vanishing trapdoors: a framework for fully secure short signatures and more. In: Nguyen, P.Q., Pointcheval, D. (eds.) PKC 2010. LNCS, vol. 6056, pp. 499\u2013517. Springer, Heidelberg (2010)"},{"issue":"4","key":"13_CR13","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":"13_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1007\/3-540-39200-9_16","volume-title":"Advances in Cryptology \u2013 EUROCRPYT 2003","author":"R Canetti","year":"2003","unstructured":"Canetti, R., Halevi, S., Katz, J.: A forward-secure public-key encryption scheme. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 255\u2013271. Springer, Heidelberg (2003)"},{"key":"13_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1007\/978-3-642-13190-5_27","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2010","author":"D Cash","year":"2010","unstructured":"Cash, D., Hofheinz, D., Kiltz, E., Peikert, C.: Bonsai trees, or how to delegate a lattice basis. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 523\u2013552. Springer, Heidelberg (2010)"},{"key":"13_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1007\/11745853_16","volume-title":"Public Key Cryptography - PKC 2006","author":"S Chatterjee","year":"2006","unstructured":"Chatterjee, S., Sarkar, P.: Generalization of the selective-ID security model for HIBE protocols. In: Yung, M., Dodis, Y., Kiayias, A., Malkin, T. (eds.) PKC 2006. LNCS, vol. 3958, pp. 241\u2013256. Springer, Heidelberg (2006)"},{"key":"13_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1007\/978-3-642-40084-1_25","volume-title":"Advances in Cryptology \u2013 CRYPTO 2013","author":"J Chen","year":"2013","unstructured":"Chen, J., Wee, H.: Fully, (Almost) tightly secure IBE and dual system groups. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013, Part II. LNCS, vol. 8043, pp. 435\u2013460. Springer, Heidelberg (2013)"},{"key":"13_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/11761679_1","volume-title":"Advances in Cryptology - EUROCRYPT 2006","author":"JH Cheon","year":"2006","unstructured":"Cheon, J.H.: Security analysis of the strong Diffie-Hellman problem. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 1\u201311. Springer, Heidelberg (2006)"},{"key":"13_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1007\/3-540-45325-3_32","volume-title":"Cryptography and Coding","author":"C Cocks","year":"2001","unstructured":"Cocks, C.: An identity based encryption scheme based on quadratic residues. In: Honary, B. (ed.) Cryptography and Coding 2001. LNCS, vol. 2260, pp. 360\u2013363. Springer, Heidelberg (2001)"},{"key":"13_CR20","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)"},{"key":"13_CR21","unstructured":"Galindo, D.: The exact security of pairing based encryption and signature schemes based on a talk at workshop on provable security, INRIA, Paris (2004). http:\/\/www.dgalindo.es\/galindoEcrypt.pdf"},{"key":"13_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1007\/11761679_27","volume-title":"Advances in Cryptology - EUROCRYPT 2006","author":"C Gentry","year":"2006","unstructured":"Gentry, C.: Practical identity-based encryption without random oracles. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 445\u2013464. Springer, Heidelberg (2006)"},{"key":"13_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1007\/978-3-642-00457-5_26","volume-title":"Theory of Cryptography","author":"C Gentry","year":"2009","unstructured":"Gentry, C., Halevi, S.: Hierarchical identity based encryption with polynomially many levels. In: Reingold, O. (ed.) TCC 2009. LNCS, vol. 5444, pp. 437\u2013456. Springer, Heidelberg (2009)"},{"key":"13_CR24","doi-asserted-by":"crossref","unstructured":"Gentry, C., Peikert, C., Vaikuntanathan, V.: Trapdoors for hard lattices and new cryptographic constructions. In: STOC, pp. 197\u2013206 (2008)","DOI":"10.1145\/1374376.1374407"},{"key":"13_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"548","DOI":"10.1007\/3-540-36178-2_34","volume-title":"Advances in Cryptology - ASIACRYPT 2002","author":"C Gentry","year":"2002","unstructured":"Gentry, C., Silverberg, A.: Hierarchical ID-based cryptography. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 548\u2013566. Springer, Heidelberg (2002)"},{"key":"13_CR26","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"812","DOI":"10.1007\/978-3-642-32009-5_47","volume-title":"Advances in Cryptology \u2013 CRYPTO 2012","author":"G Hanaoka","year":"2012","unstructured":"Hanaoka, G., Matsuda, T., Schuldt, J.C.N.: On the impossibility of constructing efficient key encapsulation and programmable hash functions in prime order groups. In: Safavi-Naini, R., Canetti, R. (eds.) CRYPTO 2012. LNCS, vol. 7417, pp. 812\u2013831. Springer, Heidelberg (2012)"},{"key":"13_CR27","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1007\/978-3-642-25385-0_4","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2011","author":"B Hemenway","year":"2011","unstructured":"Hemenway, B., Libert, B., Ostrovsky, R., Vergnaud, D.: Lossy encryption: constructions from general assumptions and efficient selective opening chosen ciphertext security. In: Lee, D.H., Wang, X. (eds.) ASIACRYPT 2011. LNCS, vol. 7073, pp. 70\u201388. Springer, Heidelberg (2011)"},{"key":"13_CR28","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"647","DOI":"10.1007\/978-3-642-25385-0_35","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2011","author":"D Hofheinz","year":"2011","unstructured":"Hofheinz, D., Jager, T., Kiltz, E.: Short signatures from weaker assumptions. In: Lee, D.H., Wang, X. (eds.) ASIACRYPT 2011. LNCS, vol. 7073, pp. 647\u2013666. Springer, Heidelberg (2011)"},{"key":"13_CR29","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"466","DOI":"10.1007\/3-540-46035-7_31","volume-title":"Advances in Cryptology - EUROCRYPT 2002","author":"J Horwitz","year":"2002","unstructured":"Horwitz, J., Lynn, B.: Toward hierarchical identity-based encryption. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 466\u2013481. Springer, Heidelberg (2002)"},{"key":"13_CR30","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)"},{"key":"13_CR31","doi-asserted-by":"crossref","unstructured":"Lewko, A.B., Sahai, A., Waters, B.: Revocation systems with very small private keys. In: IEEE Symposium on Security and Privacy, pp. 273\u2013285 (2010)","DOI":"10.1109\/SP.2010.23"},{"key":"13_CR32","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"455","DOI":"10.1007\/978-3-642-11799-2_27","volume-title":"Theory of Cryptography","author":"A Lewko","year":"2010","unstructured":"Lewko, A., Waters, B.: New techniques for dual system encryption and fully secure HIBE with short ciphertexts. In: Micciancio, D. (ed.) TCC 2010. LNCS, vol. 5978, pp. 455\u2013479. Springer, Heidelberg (2010)"},{"key":"13_CR33","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1007\/978-3-642-32009-5_12","volume-title":"Advances in Cryptology \u2013 CRYPTO 2012","author":"A Lewko","year":"2012","unstructured":"Lewko, A., Waters, B.: New proof methods for attribute-based encryption: achieving full security through selective techniques. In: Safavi-Naini, R., Canetti, R. (eds.) CRYPTO 2012. LNCS, vol. 7417, pp. 180\u2013198. Springer, Heidelberg (2012)"},{"issue":"2","key":"13_CR34","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":"13_CR35","doi-asserted-by":"crossref","unstructured":"Rouselakis, Y., Waters, B.: New constructions and proof methods for large universe attribute-based encryption. In: ACM Conference on Computer and Communications Security, vol. 2013, p. 583 (2013)","DOI":"10.1145\/2508859.2516672"},{"key":"13_CR36","unstructured":"Sakai, R., Ohgishi, K., Kasahara, M.: Cryptosystems based on pairing over elliptic curve. In: The 2001 Symposium on Cryptography and Information Security (2001). (in Japanese)"},{"key":"13_CR37","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1007\/3-540-39568-7_5","volume-title":"Advances in Cryptology","author":"A Shamir","year":"1985","unstructured":"Shamir, A.: Identity-based cryptosystems and signature Schemes. In: Blakely, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 47\u201353. Springer, Heidelberg (1985)"},{"key":"13_CR38","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)"},{"key":"13_CR39","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"619","DOI":"10.1007\/978-3-642-03356-8_36","volume-title":"Advances in Cryptology - CRYPTO 2009","author":"B Waters","year":"2009","unstructured":"Waters, B.: Dual system encryption: realizing fully secure IBE and HIBE under simple assumptions. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 619\u2013636. Springer, Heidelberg (2009)"},{"key":"13_CR40","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1007\/978-3-642-19379-8_4","volume-title":"Public Key Cryptography \u2013 PKC 2011","author":"B Waters","year":"2011","unstructured":"Waters, B.: Ciphertext-policy attribute-based encryption: an expressive, efficient, and provably secure realization. In: Catalano, D., Fazio, N., Gennaro, R., Nicolosi, A. (eds.) PKC 2011. LNCS, vol. 6571, pp. 53\u201370. Springer, Heidelberg (2011)"},{"key":"13_CR41","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1007\/978-3-642-32009-5_14","volume-title":"Advances in Cryptology \u2013 CRYPTO 2012","author":"B Waters","year":"2012","unstructured":"Waters, B.: Functional encryption for regular languages. In: Safavi-Naini, R., Canetti, R. (eds.) CRYPTO 2012. LNCS, vol. 7417, pp. 218\u2013235. Springer, Heidelberg (2012)"},{"key":"13_CR42","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1007\/978-3-642-54631-0_16","volume-title":"Public-Key Cryptography \u2013 PKC 2014","author":"S Yamada","year":"2014","unstructured":"Yamada, S., Attrapadung, N., Hanaoka, G., Kunihiro, N.: A framework and compact constructions for non-monotonic attribute-based encryption. In: Krawczyk, H. (ed.) PKC 2014. LNCS, vol. 8383, pp. 275\u2013292. Springer, Heidelberg (2014)"}],"container-title":["Lecture Notes in Computer Science","Information and Communications Security"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-21966-0_13","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,29]],"date-time":"2025-05-29T21:00:20Z","timestamp":1748552420000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-21966-0_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319219653","9783319219660"],"references-count":42,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-21966-0_13","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2015]]},"assertion":[{"value":"2 August 2015","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}