{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T20:08:47Z","timestamp":1743019727063,"version":"3.40.3"},"publisher-location":"Cham","reference-count":36,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319233178"},{"type":"electronic","value":"9783319233185"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","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\/978-3-319-23318-5_30","type":"book-chapter","created":{"date-parts":[[2015,8,26]],"date-time":"2015-08-26T17:50:33Z","timestamp":1440611433000},"page":"548-567","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Distributed Parameter Generation for Bilinear Diffie Hellman Exponentiation and Applications"],"prefix":"10.1007","author":[{"given":"Aggelos","family":"Kiayias","sequence":"first","affiliation":[]},{"given":"Ozgur","family":"Oksuz","sequence":"additional","affiliation":[]},{"given":"Qiang","family":"Tang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,8,27]]},"reference":[{"key":"30_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1007\/3-540-48405-1_9","volume-title":"Advances in Cryptology - CRYPTO \u201999","author":"M Abe","year":"1999","unstructured":"Abe, M.: Robust distributed multiplication without interaction. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 130\u2013147. Springer, Heidelberg (1999)"},{"key":"30_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1007\/11935230_11","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2006","author":"N Attrapadung","year":"2006","unstructured":"Attrapadung, N., Furukawa, J., Imai, H.: Forward-secure and searchable broadcast encryption with short ciphertexts and private keys. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 161\u2013177. Springer, Heidelberg (2006)"},{"key":"30_CR3","doi-asserted-by":"crossref","unstructured":"Ben-Or, M., Goldwasser, S., Wigderson, A.: Completeness theorems for non-cryptographic fault-tolerant distributed computation. In: STOC 1988 (1988)","DOI":"10.1145\/62212.62213"},{"key":"30_CR4","doi-asserted-by":"crossref","unstructured":"Benaloh, J.C., Yung, M.: Distributing the power of a government to enhance the privacy of voters. In: PODC 1986, pp. 52\u201362. ACM, New York (1986)","DOI":"10.1145\/10590.10595"},{"key":"30_CR5","doi-asserted-by":"crossref","unstructured":"Blakley, G.: Safeguarding cryptographic keys. In: AFIPS National Computer Conference, pp. 313\u2013317. AFIPS Press, Monval (1979)","DOI":"10.1109\/MARK.1979.8817296"},{"key":"30_CR6","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":"30_CR7","doi-asserted-by":"crossref","unstructured":"Boneh, D., Boyen, X., Goh, E.-J.: Hierarchical identity based encryption with constant size ciphertext. IACR Cryptology ePrint Archive 2005, 15 (2005)","DOI":"10.1007\/11426639_26"},{"key":"30_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"258","DOI":"10.1007\/11535218_16","volume-title":"Advances in Cryptology \u2013 CRYPTO 2005","author":"D Boneh","year":"2005","unstructured":"Boneh, D., Gentry, C., Waters, B.: Collusion resistant broadcast encryption with short ciphertexts and private keys. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 258\u2013275. Springer, Heidelberg (2005)"},{"key":"30_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1007\/978-3-540-24676-3_9","volume-title":"Advances in Cryptology - EUROCRYPT 2004","author":"J Canny","year":"2004","unstructured":"Canny, J., Sorkin, S.: Practical large-scale distributed key generation. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 138\u2013152. Springer, Heidelberg (2004)"},{"key":"30_CR10","doi-asserted-by":"crossref","unstructured":"Chaum, D., Cr\u00e9peau, C., Damgard, I.: Multiparty unconditionally secure protocols. In: STOC 1988, pp. 11\u201319. ACM, New York (1988)","DOI":"10.1145\/62212.62214"},{"key":"30_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1007\/978-3-642-02620-1_23","volume-title":"Information Security and Privacy","author":"C-K Chu","year":"2009","unstructured":"Chu, C.-K., Weng, J., Chow, S.S.M., Zhou, J., Deng, R.H.: Conditional proxy broadcast re-encryption. In: Boyd, C., Gonz\u00e1lez Nieto, J. (eds.) ACISP 2009. LNCS, vol. 5594, pp. 327\u2013342. Springer, Heidelberg (2009)"},{"key":"30_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"272","DOI":"10.1007\/3-540-45708-9_18","volume-title":"Advances in Cryptology - CRYPTO 2002","author":"R Cramer","year":"2002","unstructured":"Cramer, R., Fehr, S.: Optimal black-box secret sharing over arbitrary abelian groups. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 272\u2013287. Springer, Heidelberg (2002)"},{"key":"30_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"344","DOI":"10.1007\/11535218_21","volume-title":"Advances in Cryptology \u2013 CRYPTO 2005","author":"R Cramer","year":"2005","unstructured":"Cramer, R., Fehr, S., Stam, M.: Black-box secret sharing from primitive sets in algebraic number fields. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 344\u2013360. Springer, Heidelberg (2005)"},{"key":"30_CR14","doi-asserted-by":"crossref","unstructured":"De Santis, A., Desmedt, Y., Frankel, Y., Yung, M.: How to share a function securely. In: Proceedings of the Twenty-Sixth Annual ACM Symposium on Theory of Computing, STOC 1994, pp. 522\u2013533. ACM, New York (1994)","DOI":"10.1145\/195058.195405"},{"key":"30_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/0-387-34805-0_28","volume-title":"Advances in Cryptology - CRYPTO \u201989","author":"YG Desmedt","year":"1990","unstructured":"Desmedt, Y.G., Frankel, Y.: Threshold cryptosystems. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 307\u2013315. Springer, Heidelberg (1990)"},{"key":"30_CR16","doi-asserted-by":"crossref","unstructured":"Desmedt, Y.G., Frankel, Y.: Perfect homomorphic zero-knowledge threshold schemes over any finite abelian group (1994)","DOI":"10.1007\/978-1-4613-9323-8_28"},{"key":"30_CR17","doi-asserted-by":"crossref","unstructured":"Feldman, P.: A practical scheme for non-interactive verifiable secret sharing. In: FOCS 1987. IEEE Computer Society (1987)","DOI":"10.1109\/SFCS.1987.4"},{"key":"30_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"480","DOI":"10.1007\/3-540-48329-2_40","volume-title":"Advances in Cryptology - CRYPTO \u201993","author":"A Fiat","year":"1994","unstructured":"Fiat, A., Naor, M.: Broadcast encryption. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol. 773, pp. 480\u2013491. Springer, Heidelberg (1994)"},{"key":"30_CR19","doi-asserted-by":"crossref","unstructured":"Frankel, Y., MacKenzie, P.D., Yung, M.: Robust efficient distributed rsa-key generation. In: STOC 1998, pp. 663\u2013672. ACM, New York (1998)","DOI":"10.1145\/276698.276882"},{"issue":"1","key":"30_CR20","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1007\/s00145-006-0347-3","volume":"20","author":"R Gennaro","year":"2007","unstructured":"Gennaro, R., Jarecki, S., Krawczyk, H., Rabin, T.: Secure distributed key generation for discrete-log based cryptosystems. J. Cryptol. 20(1), 51\u201383 (2007)","journal-title":"J. Cryptol."},{"issue":"2","key":"30_CR21","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/j.ipl.2005.01.015","volume":"96","author":"R Gennaro","year":"2005","unstructured":"Gennaro, R., Raimondo, M.D.: Secure multiplication of shared secrets in the exponent. Inf. Process. Lett. 96(2), 71\u201379 (2005)","journal-title":"Inf. Process. Lett."},{"issue":"3","key":"30_CR22","doi-asserted-by":"publisher","first-page":"691","DOI":"10.1145\/116825.116852","volume":"38","author":"O Goldreich","year":"1991","unstructured":"Goldreich, O., Micali, S., Wigderson, A.: Proofs that yield nothing but their validity or all languages in np have zero-knowledge proof systems. J. ACM 38(3), 691\u2013729 (1991)","journal-title":"J. ACM"},{"key":"30_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1007\/978-3-642-25516-8_26","volume-title":"Cryptography and Coding","author":"M Izabach\u00e8ne","year":"2011","unstructured":"Izabach\u00e8ne, M., Libert, B., Vergnaud, D.: Block-wise P-signatures and non-interactive anonymous credentials with efficient attributes. In: Chen, L. (ed.) IMACC 2011. LNCS, vol. 7089, pp. 431\u2013450. Springer, Heidelberg (2011)"},{"key":"30_CR24","unstructured":"Jarecki, S.: Efficient Threshold Cryptosystems. Ph.D. thesis, MIT (2001)"},{"key":"30_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"436","DOI":"10.1007\/978-3-642-15317-4_27","volume-title":"Security and Cryptography for Networks","author":"A Kate","year":"2010","unstructured":"Kate, A., Goldberg, I.: Distributed private-key generators for identity-based cryptography. In: Garay, J.A., De Prisco, R. (eds.) SCN 2010. LNCS, vol. 6280, pp. 436\u2013453. Springer, Heidelberg (2010)"},{"key":"30_CR26","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/978-3-540-85855-3_5","volume-title":"Security and Cryptography for Networks","author":"A Kiayias","year":"2008","unstructured":"Kiayias, A., Xu, S., Yung, M.: Privacy preserving data mining within anonymous credential systems. In: Ostrovsky, R., De Prisco, R., Visconti, I. (eds.) SCN 2008. LNCS, vol. 5229, pp. 57\u201376. Springer, Heidelberg (2008)"},{"key":"30_CR27","doi-asserted-by":"crossref","unstructured":"Lewko, A., Sahai, A., Waters, B.: Revocation systems with very small private keys. In: SP 2010, pp. 273\u2013285. IEEE Computer Society, Washington, DC (2010)","DOI":"10.1109\/SP.2010.23"},{"key":"30_CR28","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/978-3-319-08344-5_8","volume-title":"Information Security and Privacy","author":"Z Liu","year":"2014","unstructured":"Liu, Z., Li, J., Chen, X., Yang, J., Jia, C.: TMDS: thin-model data sharing scheme supporting keyword search in cloud storage. In: Susilo, W., Mu, Y. (eds.) ACISP 2014. LNCS, vol. 8544, pp. 115\u2013130. Springer, Heidelberg (2014)"},{"key":"30_CR29","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/3-540-46766-1_9","volume-title":"Advances in Cryptology - CRYPTO \u201991","author":"TP Pedersen","year":"1992","unstructured":"Pedersen, T.P.: Non-interactive and information-theoretic secure verifiable secret sharing. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 129\u2013140. Springer, Heidelberg (1992)"},{"key":"30_CR30","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"166","DOI":"10.1007\/978-3-642-32928-9_10","volume-title":"Security and Cryptography for Networks","author":"DH Phan","year":"2012","unstructured":"Phan, D.H., Pointcheval, D., Strefler, M.: Decentralized dynamic broadcast encryption. In: Visconti, I., De Prisco, R. (eds.) SCN 2012. LNCS, vol. 7485, pp. 166\u2013183. Springer, Heidelberg (2012)"},{"issue":"11","key":"30_CR31","doi-asserted-by":"publisher","first-page":"612","DOI":"10.1145\/359168.359176","volume":"22","author":"A Shamir","year":"1979","unstructured":"Shamir, A.: How to share a secret. Commun. ACM 22(11), 612\u2013613 (1979)","journal-title":"Commun. ACM"},{"key":"30_CR32","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":"30_CR33","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1007\/978-3-642-01001-9_9","volume-title":"Advances in Cryptology - EUROCRYPT 2009","author":"Q Wu","year":"2009","unstructured":"Wu, Q., Mu, Y., Susilo, W., Qin, B., Domingo-Ferrer, J.: Asymmetric group key agreement. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol. 5479, pp. 153\u2013170. Springer, Heidelberg (2009)"},{"key":"30_CR34","doi-asserted-by":"crossref","unstructured":"Wu, Q., Qin, B., Zhang, L., Domingo-Ferrer, J.: Ad hoc broadcast encryption. In: CCS 2010 (2010)","DOI":"10.1145\/1866307.1866416"},{"key":"30_CR35","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1007\/978-3-642-24316-5_9","volume-title":"Provable Security","author":"Q Wu","year":"2011","unstructured":"Wu, Q., Qin, B., Zhang, L., Domingo-Ferrer, J.: Fully distributed broadcast encryption. In: Boyen, X., Chen, X. (eds.) ProvSec 2011. LNCS, vol. 6980, pp. 102\u2013119. Springer, Heidelberg (2011)"},{"key":"30_CR36","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1007\/978-3-642-25385-0_8","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2011","author":"Q Wu","year":"2011","unstructured":"Wu, Q., Qin, B., Zhang, L., Domingo-Ferrer, J., Farr\u00e0s, O.: Bridging broadcast encryption and group key agreement. In: Lee, D.H., Wang, X. (eds.) ASIACRYPT 2011. LNCS, vol. 7073, pp. 143\u2013160. Springer, Heidelberg (2011)"}],"container-title":["Lecture Notes in Computer Science","Information Security"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-23318-5_30","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,31]],"date-time":"2023-01-31T04:34:19Z","timestamp":1675139659000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-23318-5_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319233178","9783319233185"],"references-count":36,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-23318-5_30","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":"27 August 2015","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}