{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T16:45:29Z","timestamp":1742921129682,"version":"3.40.3"},"publisher-location":"Cham","reference-count":20,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319498898"},{"type":"electronic","value":"9783319498904"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"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":[[2016]]},"DOI":"10.1007\/978-3-319-49890-4_6","type":"book-chapter","created":{"date-parts":[[2016,11,9]],"date-time":"2016-11-09T21:49:08Z","timestamp":1478728148000},"page":"99-118","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Verifiable Computation for Randomized Algorithm"],"prefix":"10.1007","author":[{"given":"Muhua","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ying","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rui","family":"Xue","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,11,11]]},"reference":[{"key":"6_CR1","doi-asserted-by":"crossref","unstructured":"Alwen, J., Barbosa, M., Farshim, P., Gennaro, R., Gordon, S.D., Tessaro, S., Wilson, D.A.: On the relationship between functional encryption, obfuscation, and fully homomorphic encryption. In: Proceedings of 14th IMA International Conference on Cryptography and Coding, IMACC 2013, Oxford, UK, 17\u201319 December 2013, pp. 65\u201384 (2013)","DOI":"10.1007\/978-3-642-45239-0_5"},{"key":"6_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"152","DOI":"10.1007\/978-3-642-14165-2_14","volume-title":"Automata, Languages and Programming","author":"B Applebaum","year":"2010","unstructured":"Applebaum, B., Ishai, Y., Kushilevitz, E.: From secrecy to soundness: efficient verification via secure computation. In: Abramsky, S., Gavoille, C., Kirchner, C., Meyer auf der Heide, F., Spirakis, P.G. (eds.) ICALP 2010. LNCS, vol. 6198, pp. 152\u2013163. Springer, Heidelberg (2010). doi:\n                      10.1007\/978-3-642-14165-2_14"},{"key":"6_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/3-540-44647-8_1","volume-title":"Advances in Cryptology \u2014 CRYPTO 2001","author":"B Barak","year":"2001","unstructured":"Barak, B., Goldreich, O., Impagliazzo, R., Rudich, S., Sahai, A., Vadhan, S., Yang, K.: On the (im)possibility of obfuscating programs. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 1\u201318. Springer, Heidelberg (2001). doi:\n                      10.1007\/3-540-44647-8_1"},{"key":"6_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"296","DOI":"10.1007\/978-3-642-27954-6_19","volume-title":"Topics in Cryptology \u2013 CT-RSA 2012","author":"M Barbosa","year":"2012","unstructured":"Barbosa, M., Farshim, P.: Delegatable homomorphic encryption with applications to secure outsourcing of computation. In: Dunkelman, O. (ed.) CT-RSA 2012. LNCS, vol. 7178, pp. 296\u2013312. Springer, Heidelberg (2012). doi:\n                      10.1007\/978-3-642-27954-6_19"},{"key":"6_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/978-3-642-22792-9_7","volume-title":"Advances in Cryptology \u2013 CRYPTO 2011","author":"S Benabbas","year":"2011","unstructured":"Benabbas, S., Gennaro, R., Vahlis, Y.: Verifiable delegation of computation over large datasets. In: Rogaway, P. (ed.) CRYPTO 2011. LNCS, vol. 6841, pp. 111\u2013131. Springer, Heidelberg (2011). doi:\n                      10.1007\/978-3-642-22792-9_7"},{"key":"6_CR6","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). doi:\n                      10.1007\/978-3-642-54631-0_29"},{"key":"6_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1007\/978-3-642-36594-2_28","volume-title":"Theory of Cryptography","author":"SG Choi","year":"2013","unstructured":"Choi, S.G., Katz, J., Kumaresan, R., Cid, C.: Multi-client non-interactive verifiable computation. In: Sahai, A. (ed.) TCC 2013. LNCS, vol. 7785, pp. 499\u2013518. Springer, Heidelberg (2013). doi:\n                      10.1007\/978-3-642-36594-2_28"},{"key":"6_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1007\/978-3-642-14623-7_26","volume-title":"Advances in Cryptology \u2013 CRYPTO 2010","author":"K-M Chung","year":"2010","unstructured":"Chung, K.-M., Kalai, Y., Vadhan, S.: Improved delegation of computation using fully homomorphic encryption. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 483\u2013501. Springer, Heidelberg (2010). doi:\n                      10.1007\/978-3-642-14623-7_26"},{"key":"6_CR9","doi-asserted-by":"crossref","unstructured":"Fiore, D., Gennaro, R.: Publicly verifiable delegation of large polynomials and matrix computations, with applications. In: The ACM Conference on Computer and Communications Security, CCS 2012, Raleigh, NC, USA, 16\u201318 October 2012, pp. 501\u2013512 (2012)","DOI":"10.1145\/2382196.2382250"},{"key":"6_CR10","doi-asserted-by":"crossref","unstructured":"Fiore, D., Gennaro, R., Pastro, V.: Efficiently verifiable computation on encrypted data. In: Proceedings of the 2014 ACM SIGSAC Conference on Computer and Communications Security, Scottsdale, AZ, USA, 3\u20137 November 2014, pp. 844\u2013855 (2014)","DOI":"10.1145\/2660267.2660366"},{"key":"6_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1007\/978-3-319-10879-7_7","volume-title":"Security and Cryptography for Networks","author":"G Fuchsbauer","year":"2014","unstructured":"Fuchsbauer, G.: Constrained verifiable random functions. In: Abdalla, M., Prisco, R. (eds.) SCN 2014. LNCS, vol. 8642, pp. 95\u2013114. Springer, Heidelberg (2014). doi:\n                      10.1007\/978-3-319-10879-7_7"},{"key":"6_CR12","doi-asserted-by":"crossref","unstructured":"Garg, S., Gentry, C., Halevi, S., Raykova, M., Sahai, A., Waters, B.: Candidate indistinguishability obfuscation and functional encryption for all circuits. In: 54th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2013, 26\u201329 October 2013, Berkeley, CA, USA, pp. 40\u201349 (2013)","DOI":"10.1109\/FOCS.2013.13"},{"key":"6_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"465","DOI":"10.1007\/978-3-642-14623-7_25","volume-title":"Advances in Cryptology \u2013 CRYPTO 2010","author":"R Gennaro","year":"2010","unstructured":"Gennaro, R., Gentry, C., Parno, B.: Non-interactive verifiable computing: outsourcing computation to untrusted workers. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 465\u2013482. Springer, Heidelberg (2010). doi:\n                      10.1007\/978-3-642-14623-7_25"},{"key":"6_CR14","doi-asserted-by":"crossref","unstructured":"Gentry, C., Halevi, S., Raykova, M., Wichs, D.: Outsourcing private RAM computation. In: 55th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2014, Philadelphia, PA, USA, 18\u201321 October 2014, pp. 404\u2013413 (2014)","DOI":"10.1109\/FOCS.2014.50"},{"key":"6_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"578","DOI":"10.1007\/978-3-642-55220-5_32","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2014","author":"S Goldwasser","year":"2014","unstructured":"Goldwasser, S., Gordon, S.D., Goyal, V., Jain, A., Katz, J., Liu, F.-H., Sahai, A., Shi, E., Zhou, H.-S.: Multi-input functional encryption. In: Nguyen, P.Q., Oswald, E. (eds.) EUROCRYPT 2014. LNCS, vol. 8441, pp. 578\u2013602. Springer, Heidelberg (2014). doi:\n                      10.1007\/978-3-642-55220-5_32"},{"key":"6_CR16","first-page":"142","volume":"2015","author":"SD Gordon","year":"2015","unstructured":"Gordon, S.D., Katz, J., Liu, F., Shi, E., Zhou, H.: Multi-client verifiable computation with stronger security guarantees. IACR Cryptol. ePrint Arch. 2015, 142 (2015)","journal-title":"IACR Cryptol. ePrint Arch."},{"key":"6_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/978-3-662-46497-7_13","volume-title":"Theory of Cryptography","author":"V Goyal","year":"2015","unstructured":"Goyal, V., Jain, A., Koppula, V., Sahai, A.: Functional encryption for randomized functionalities. In: Dodis, Y., Nielsen, J.B. (eds.) TCC 2015. LNCS, vol. 9015, pp. 325\u2013351. Springer, Heidelberg (2015). doi:\n                      10.1007\/978-3-662-46497-7_13"},{"key":"6_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"352","DOI":"10.1007\/978-3-662-46497-7_14","volume-title":"Theory of Cryptography","author":"I Komargodski","year":"2015","unstructured":"Komargodski, I., Segev, G., Yogev, E.: Functional encryption for randomized functionalities in the private-key setting from minimal assumptions. In: Dodis, Y., Nielsen, J.B. (eds.) TCC 2015. LNCS, vol. 9015, pp. 352\u2013377. Springer, Heidelberg (2015). doi:\n                      10.1007\/978-3-662-46497-7_14"},{"key":"6_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"222","DOI":"10.1007\/978-3-642-36594-2_13","volume-title":"Theory of Cryptography","author":"C Papamanthou","year":"2013","unstructured":"Papamanthou, C., Shi, E., Tamassia, R.: Signatures of correct computation. In: Sahai, A. (ed.) TCC 2013. LNCS, vol. 7785, pp. 222\u2013242. Springer, Heidelberg (2013). doi:\n                      10.1007\/978-3-642-36594-2_13"},{"key":"6_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"422","DOI":"10.1007\/978-3-642-28914-9_24","volume-title":"Theory of Cryptography","author":"B Parno","year":"2012","unstructured":"Parno, B., Raykova, M., Vaikuntanathan, V.: How to delegate and verify in public: verifiable computation from attribute-based encryption. In: Cramer, R. (ed.) TCC 2012. LNCS, vol. 7194, pp. 422\u2013439. Springer, Heidelberg (2012). doi:\n                      10.1007\/978-3-642-28914-9_24"}],"container-title":["Lecture Notes in Computer Science","Progress in Cryptology \u2013 INDOCRYPT 2016"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-49890-4_6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T01:40:39Z","timestamp":1558316439000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-49890-4_6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319498898","9783319498904"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-49890-4_6","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2016]]},"assertion":[{"value":"11 November 2016","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"INDOCRYPT","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Cryptology in India","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Kolkata","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"India","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2016","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 December 2016","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14 December 2016","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"indocrypt2016","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}