{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,21]],"date-time":"2025-12-21T01:36:55Z","timestamp":1766281015024,"version":"3.40.3"},"publisher-location":"Cham","reference-count":54,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030038090"},{"type":"electronic","value":"9783030038106"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-030-03810-6_19","type":"book-chapter","created":{"date-parts":[[2018,11,7]],"date-time":"2018-11-07T21:30:29Z","timestamp":1541626229000},"page":"513-543","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["The MMap Strikes Back: Obfuscation and New Multilinear Maps Immune to CLT13 Zeroizing Attacks"],"prefix":"10.1007","author":[{"given":"Fermi","family":"Ma","sequence":"first","affiliation":[]},{"given":"Mark","family":"Zhandry","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,11,8]]},"reference":[{"key":"19_CR1","doi-asserted-by":"crossref","unstructured":"Ma, F., Zhandry, M.: The MMAP strikes back: obfuscation and new multilinear maps immune to CLT13 zeroizing attacks. Cryptology ePrint Archive, Report 2017\/946 (2017). https:\/\/eprint.iacr.org\/2017\/946","DOI":"10.1007\/978-3-030-03810-6_19"},{"key":"19_CR2","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1090\/conm\/324\/05731","volume":"324","author":"D Boneh","year":"2003","unstructured":"Boneh, D., Silverberg, A.: Applications of multilinear forms to cryptography. Contemp. Math. 324, 71\u201390 (2003)","journal-title":"Contemp. Math."},{"key":"19_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1007\/978-3-642-40084-1_27","volume-title":"Advances in Cryptology \u2013 CRYPTO 2013","author":"S Garg","year":"2013","unstructured":"Garg, S., Gentry, C., Halevi, S., Sahai, A., Waters, B.: Attribute-based encryption for circuits from multilinear maps. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013. LNCS, vol. 8043, pp. 479\u2013499. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-40084-1_27"},{"key":"19_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1007\/978-3-662-44371-2_12","volume-title":"Advances in Cryptology \u2013 CRYPTO 2014","author":"D Boneh","year":"2014","unstructured":"Boneh, D., Waters, B., Zhandry, M.: Low overhead broadcast encryption from multilinear maps. In: Garay, J.A., Gennaro, R. (eds.) CRYPTO 2014. LNCS, vol. 8616, pp. 206\u2013223. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-662-44371-2_12"},{"key":"19_CR5","doi-asserted-by":"crossref","unstructured":"Garg, S., Gentry, C., Sahai, A., Waters, B.: Witness encryption and its applications, pp. 467\u2013476 (2013)","DOI":"10.1145\/2488608.2488667"},{"key":"19_CR6","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, pp. 40\u201349 (2013)","DOI":"10.1109\/FOCS.2013.13"},{"key":"19_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"480","DOI":"10.1007\/978-3-662-49099-0_18","volume-title":"Theory of Cryptography","author":"S Garg","year":"2016","unstructured":"Garg, S., Gentry, C., Halevi, S., Zhandry, M.: Functional encryption without obfuscation. In: Kushilevitz, E., Malkin, T. (eds.) TCC 2016. LNCS, vol. 9563, pp. 480\u2013511. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49099-0_18"},{"key":"19_CR8","doi-asserted-by":"crossref","unstructured":"Sahai, A., Waters, B.: How to use indistinguishability obfuscation: deniable encryption, and more, pp. 475\u2013484 (2014)","DOI":"10.1145\/2591796.2591825"},{"key":"19_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1007\/978-3-642-55220-5_12","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2014","author":"S Hohenberger","year":"2014","unstructured":"Hohenberger, S., Sahai, A., Waters, B.: Replacing a random oracle: full domain hash from indistinguishability obfuscation. In: Nguyen, P.Q., Oswald, E. (eds.) EUROCRYPT 2014. LNCS, vol. 8441, pp. 201\u2013220. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-642-55220-5_12"},{"key":"19_CR10","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. LNCS, vol. 8616, pp. 480\u2013499. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-662-44371-2_27"},{"key":"19_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"638","DOI":"10.1007\/978-3-662-46497-7_25","volume-title":"Theory of Cryptography","author":"O Pandey","year":"2015","unstructured":"Pandey, O., Prabhakaran, M., Sahai, A.: Obfuscation-based non-black-box simulation and four message concurrent zero knowledge for NP. In: Dodis, Y., Nielsen, J.B. (eds.) TCC 2015. LNCS, vol. 9015, pp. 638\u2013667. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46497-7_25"},{"key":"19_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1007\/978-3-662-47989-6_14","volume-title":"Advances in Cryptology \u2013 CRYPTO 2015","author":"K-M Chung","year":"2015","unstructured":"Chung, K.-M., Lin, H., Pass, R.: Constant-round concurrent zero-knowledge from indistinguishability obfuscation. In: Gennaro, R., Robshaw, M. (eds.) CRYPTO 2015. LNCS, vol. 9215, pp. 287\u2013307. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-47989-6_14"},{"key":"19_CR13","doi-asserted-by":"crossref","unstructured":"Hubacek, P., Wichs, D.: On the communication complexity of secure function evaluation with long output, pp. 163\u2013172 (2015)","DOI":"10.1145\/2688073.2688105"},{"key":"19_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1007\/978-3-662-49096-9_6","volume-title":"Theory of Cryptography","author":"P Ananth","year":"2016","unstructured":"Ananth, P., Sahai, A.: Functional encryption for turing machines. In: Kushilevitz, E., Malkin, T. (eds.) TCC 2016. LNCS, vol. 9562, pp. 125\u2013153. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49096-9_6"},{"key":"19_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1007\/978-3-662-49096-9_20","volume-title":"Theory of Cryptography","author":"N Bitansky","year":"2016","unstructured":"Bitansky, N., Paneth, O., Wichs, D.: Perfect structure on the edge of chaos. In: Kushilevitz, E., Malkin, T. (eds.) TCC 2016. LNCS, vol. 9562, pp. 474\u2013502. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49096-9_20"},{"key":"19_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"176","DOI":"10.1007\/978-3-662-49096-9_8","volume-title":"Theory of Cryptography","author":"M Bun","year":"2016","unstructured":"Bun, M., Zhandry, M.: Order-revealing encryption and the hardness of private learning. In: Kushilevitz, E., Malkin, T. (eds.) TCC 2016. LNCS, vol. 9562, pp. 176\u2013206. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49096-9_8"},{"key":"19_CR17","doi-asserted-by":"crossref","unstructured":"Bitansky, N., Paneth, O., Rosen, A.: On the cryptographic hardness of finding a Nash equilibrium, pp. 1480\u20131498 (2015)","DOI":"10.1109\/FOCS.2015.94"},{"key":"19_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-38348-9_1","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2013","author":"S Garg","year":"2013","unstructured":"Garg, S., Gentry, C., Halevi, S.: Candidate multilinear maps from ideal lattices. In: Johansson, T., Nguyen, P.Q. (eds.) EUROCRYPT 2013. LNCS, vol. 7881, pp. 1\u201317. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-38348-9_1"},{"key":"19_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"476","DOI":"10.1007\/978-3-642-40041-4_26","volume-title":"Advances in Cryptology \u2013 CRYPTO 2013","author":"J-S Coron","year":"2013","unstructured":"Coron, J.-S., Lepoint, T., Tibouchi, M.: Practical multilinear maps over the integers. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013. LNCS, vol. 8042, pp. 476\u2013493. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-40041-4_26"},{"key":"19_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"498","DOI":"10.1007\/978-3-662-46497-7_20","volume-title":"Theory of Cryptography","author":"C Gentry","year":"2015","unstructured":"Gentry, C., Gorbunov, S., Halevi, S.: Graph-induced multilinear maps from lattices. In: Dodis, Y., Nielsen, J.B. (eds.) TCC 2015. LNCS, vol. 9015, pp. 498\u2013527. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46497-7_20"},{"key":"19_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-662-46800-5_1","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2015","author":"JH Cheon","year":"2015","unstructured":"Cheon, J.H., Han, K., Lee, C., Ryu, H., Stehl\u00e9, D.: Cryptanalysis of the multilinear map over the integers. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9056, pp. 3\u201312. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46800-5_1"},{"key":"19_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1007\/978-3-662-49890-3_21","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2016","author":"Y Hu","year":"2016","unstructured":"Hu, Y., Jia, H.: Cryptanalysis of GGH map. In: Fischlin, M., Coron, J.-S. (eds.) EUROCRYPT 2016. LNCS, vol. 9665, pp. 537\u2013565. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49890-3_21"},{"key":"19_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"607","DOI":"10.1007\/978-3-662-53008-5_21","volume-title":"Advances in Cryptology \u2013 CRYPTO 2016","author":"J-S Coron","year":"2016","unstructured":"Coron, J.-S., Lee, M.S., Lepoint, T., Tibouchi, M.: Cryptanalysis of GGH15 multilinear maps. In: Robshaw, M., Katz, J. (eds.) CRYPTO 2016. LNCS, vol. 9815, pp. 607\u2013628. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-53008-5_21"},{"key":"19_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/978-3-662-47989-6_13","volume-title":"Advances in Cryptology \u2013 CRYPTO 2015","author":"J-S Coron","year":"2015","unstructured":"Coron, J.-S., Lepoint, T., Tibouchi, M.: New multilinear maps over the integers. In: Gennaro, R., Robshaw, M. (eds.) CRYPTO 2015. LNCS, vol. 9215, pp. 267\u2013286. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-47989-6_13"},{"key":"19_CR25","unstructured":"Boneh, D., Wu, D.J., Zimmerman, J.: Immunizing multilinear maps against zeroizing attacks. Cryptology ePrint Archive, Report 2014\/930 (2014). http:\/\/eprint.iacr.org\/2014\/930"},{"key":"19_CR26","unstructured":"Halevi, S.: Graded encoding, variations on a scheme. Cryptology ePrint Archive, Report 2015\/866 (2015). http:\/\/eprint.iacr.org\/2015\/866"},{"key":"19_CR27","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1007\/978-3-662-47989-6_12","volume-title":"Advances in Cryptology \u2013 CRYPTO 2015","author":"JS Coron","year":"2015","unstructured":"Coron, J.S., et al.: Zeroizing without low-level zeroes: new MMAP attacks and their limitations. In: Gennaro, R., Robshaw, M. (eds.) CRYPTO 2015. LNCS, vol. 9215, pp. 247\u2013266. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-47989-6_12"},{"key":"19_CR28","unstructured":"Brakerski, Z., Gentry, C., Halevi, S., Lepoint, T., Sahai, A., Tibouchi, M.: Cryptanalysis of the quadratic zero-testing of GGH. Cryptology ePrint Archive, Report 2015\/845 (2015). http:\/\/eprint.iacr.org\/2015\/845"},{"key":"19_CR29","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1007\/978-3-662-49890-3_20","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2016","author":"JH Cheon","year":"2016","unstructured":"Cheon, J.H., Fouque, P.-A., Lee, C., Minaud, B., Ryu, H.: Cryptanalysis of the new CLT multilinear map over the integers. In: Fischlin, M., Coron, J.-S. (eds.) EUROCRYPT 2016. LNCS, vol. 9665, pp. 509\u2013536. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49890-3_20"},{"key":"19_CR30","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"764","DOI":"10.1007\/978-3-662-49896-5_27","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2016","author":"S Badrinarayanan","year":"2016","unstructured":"Badrinarayanan, S., Miles, E., Sahai, A., Zhandry, M.: Post-zeroizing obfuscation: new mathematical tools, and the case of evasive circuits. In: Fischlin, M., Coron, J.-S. (eds.) EUROCRYPT 2016. LNCS, vol. 9666, pp. 764\u2013791. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49896-5_27"},{"key":"19_CR31","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"559","DOI":"10.1007\/978-3-662-49896-5_20","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2016","author":"R Cramer","year":"2016","unstructured":"Cramer, R., Ducas, L., Peikert, C., Regev, O.: Recovering short generators of principal ideals in cyclotomic rings. In: Fischlin, M., Coron, J.-S. (eds.) EUROCRYPT 2016. LNCS, vol. 9666, pp. 559\u2013585. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49896-5_20"},{"key":"19_CR32","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1007\/978-3-662-53018-4_6","volume-title":"Advances in Cryptology \u2013 CRYPTO 2016","author":"M Albrecht","year":"2016","unstructured":"Albrecht, M., Bai, S., Ducas, L.: A subfield lattice attack on overstretched NTRU assumptions. In: Robshaw, M., Katz, J. (eds.) CRYPTO 2016. LNCS, vol. 9814, pp. 153\u2013178. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-53018-4_6"},{"key":"19_CR33","unstructured":"Cheon, J.H., Jeong, J., Lee, C.: An algorithm for NTRU problems and cryptanalysis of the GGH multilinear map without a low level encoding of zero. Cryptology ePrint Archive, Report 2016\/139 (2016). http:\/\/eprint.iacr.org\/2016\/139"},{"key":"19_CR34","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"184","DOI":"10.1007\/978-3-319-96878-0_7","volume-title":"Advances in Cryptology \u2013 CRYPTO 2018","author":"JH Cheon","year":"2018","unstructured":"Cheon, J.H., Hhan, M., Kim, J., Lee, C.: Cryptanalyses of branching program obfuscations over GGH13 multilinear map from the NTRU problem. In: Shacham, H., Boldyreva, A. (eds.) CRYPTO 2018. LNCS, vol. 10993, pp. 184\u2013210. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-96878-0_7"},{"key":"19_CR35","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1007\/978-3-319-96878-0_6","volume-title":"Advances in Cryptology \u2013 CRYPTO 2018","author":"A Pellet-Mary","year":"2018","unstructured":"Pellet-Mary, A.: Quantum attacks against indistinguishablility obfuscators proved secure in the weak multilinear map model. In: Shacham, H., Boldyreva, A. (eds.) CRYPTO 2018. LNCS, vol. 10993, pp. 153\u2013183. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-96878-0_6"},{"key":"19_CR36","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1007\/978-3-662-53008-5_22","volume-title":"Advances in Cryptology \u2013 CRYPTO 2016","author":"E Miles","year":"2016","unstructured":"Miles, E., Sahai, A., Zhandry, M.: Annihilation attacks for multilinear maps: cryptanalysis of indistinguishability obfuscation over GGH13. In: Robshaw, M., Katz, J. (eds.) CRYPTO 2016. LNCS, vol. 9815, pp. 629\u2013658. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-53008-5_22"},{"key":"19_CR37","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1007\/978-3-662-53644-5_10","volume-title":"Theory of Cryptography","author":"S Garg","year":"2016","unstructured":"Garg, S., Miles, E., Mukherjee, P., Sahai, A., Srinivasan, A., Zhandry, M.: Secure obfuscation in a weak multilinear map model. In: Hirt, M., Smith, A. (eds.) TCC 2016. LNCS, vol. 9986, pp. 241\u2013268. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-53644-5_10"},{"key":"19_CR38","doi-asserted-by":"crossref","unstructured":"Lewi, K., et al.: 5Gen: a framework for prototyping applications using multilinear maps and matrix branching programs, pp. 981\u2013992 (2016)","DOI":"10.1145\/2976749.2978314"},{"key":"19_CR39","unstructured":"Paneth, O., Sahai, A.: On the equivalence of obfuscation and multilinear maps. Cryptology ePrint Archive, Report 2015\/791 (2015). http:\/\/eprint.iacr.org\/2015\/791"},{"key":"19_CR40","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"446","DOI":"10.1007\/978-3-662-49096-9_19","volume-title":"Theory of Cryptography","author":"MR Albrecht","year":"2016","unstructured":"Albrecht, M.R., Farshim, P., Hofheinz, D., Larraia, E., Paterson, K.G.: Multilinear maps from obfuscation. In: Kushilevitz, E., Malkin, T. (eds.) TCC 2016. LNCS, vol. 9562, pp. 446\u2013473. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49096-9_19"},{"key":"19_CR41","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1007\/978-3-642-55220-5_13","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2014","author":"B Barak","year":"2014","unstructured":"Barak, B., Garg, S., Kalai, Y.T., Paneth, O., Sahai, A.: Protecting obfuscation against algebraic attacks. In: Nguyen, P.Q., Oswald, E. (eds.) EUROCRYPT 2014. LNCS, vol. 8441, pp. 221\u2013238. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-642-55220-5_13"},{"key":"19_CR42","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1007\/978-3-319-56617-7_9","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2017","author":"D Boneh","year":"2017","unstructured":"Boneh, D., Ishai, Y., Sahai, A., Wu, D.J.: Lattice-based SNARGs and their application to more efficient obfuscation. In: Coron, J.-S., Nielsen, J.B. (eds.) EUROCRYPT 2017. LNCS, vol. 10212, pp. 247\u2013277. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-56617-7_9"},{"key":"19_CR43","doi-asserted-by":"crossref","unstructured":"Kilian, J.: Founding cryptography on oblivious transfer, pp. 20\u201331 (1988)","DOI":"10.1145\/62212.62215"},{"key":"19_CR44","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-54242-8_1","volume-title":"Theory of Cryptography","author":"Z Brakerski","year":"2014","unstructured":"Brakerski, Z., Rothblum, G.N.: Virtual black-box obfuscation for all circuits via generic graded encoding. In: Lindell, Y. (ed.) TCC 2014. LNCS, vol. 8349, pp. 1\u201325. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-642-54242-8_1"},{"key":"19_CR45","unstructured":"Bartusek, J., Guan, J., Ma, F., Zhandry, M.: Preventing zeroizing attacks on GGH15. Cryptology ePrint Archive, Report 2018\/511 (2018). https:\/\/eprint.iacr.org\/2018\/511"},{"key":"19_CR46","doi-asserted-by":"crossref","unstructured":"Bartusek, J., Guan, J., Ma, F., Zhandry, M.: Return of GGH15: provable security against zeroizing attacks. In: TCC 2018 (2018)","DOI":"10.1007\/978-3-030-03810-6_20"},{"key":"19_CR47","unstructured":"Miles, E., Sahai, A., Weiss, M.: Protecting obfuscation against arithmetic attacks. Cryptology ePrint Archive, Report 2014\/878 (2014). http:\/\/eprint.iacr.org\/2014\/878"},{"key":"19_CR48","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"439","DOI":"10.1007\/978-3-662-46803-6_15","volume-title":"Advances in Cryptology - EUROCRYPT 2015","author":"J Zimmerman","year":"2015","unstructured":"Zimmerman, J.: How to obfuscate programs directly. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9057, pp. 439\u2013467. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46803-6_15"},{"key":"19_CR49","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1007\/978-3-319-56617-7_10","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2017","author":"Y Chen","year":"2017","unstructured":"Chen, Y., Gentry, C., Halevi, S.: Cryptanalyses of candidate branching program obfuscators. In: Coron, J.-S., Nielsen, J.B. (eds.) EUROCRYPT 2017. LNCS, vol. 10212, pp. 278\u2013307. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-56617-7_10"},{"key":"19_CR50","doi-asserted-by":"crossref","unstructured":"Coron, J.S., Lee, M.S., Lepoint, T., Tibouchi, M.: Zeroizing attacks on indistinguishability obfuscation over CLT13. Cryptology ePrint Archive, Report 2016\/1011 (2016). http:\/\/eprint.iacr.org\/2016\/1011","DOI":"10.1007\/978-3-662-54365-8_3"},{"issue":"2","key":"19_CR51","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1006\/jcss.1999.1648","volume":"59","author":"A Beimel","year":"1999","unstructured":"Beimel, A., G\u00e1l, A.: On arithmetic branching programs. J. Comput. Syst. Sci. 59(2), 195\u2013220 (1999)","journal-title":"J. Comput. Syst. Sci."},{"key":"19_CR52","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"244","DOI":"10.1007\/3-540-45465-9_22","volume-title":"Automata, Languages and Programming","author":"Y Ishai","year":"2002","unstructured":"Ishai, Y., Kushilevitz, E.: Perfect constant-round secure computation via perfect randomizing polynomials. In: Widmayer, P., Eidenbenz, S., Triguero, F., Morales, R., Conejo, R., Hennessy, M. (eds.) ICALP 2002. LNCS, vol. 2380, pp. 244\u2013256. Springer, Heidelberg (2002). https:\/\/doi.org\/10.1007\/3-540-45465-9_22"},{"key":"19_CR53","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"563","DOI":"10.1007\/978-3-662-46803-6_19","volume-title":"Advances in Cryptology - EUROCRYPT 2015","author":"D Boneh","year":"2015","unstructured":"Boneh, D., Lewi, K., Raykova, M., Sahai, A., Zhandry, M., Zimmerman, J.: Semantically secure order-revealing encryption: multi-input functional encryption without obfuscation. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9057, pp. 563\u2013594. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46803-6_19"},{"key":"19_CR54","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/978-3-662-54365-8_3","volume-title":"Public-Key Cryptography \u2013 PKC 2017","author":"J-S Coron","year":"2017","unstructured":"Coron, J.-S., Lee, M.S., Lepoint, T., Tibouchi, M.: Zeroizing attacks on indistinguishability obfuscation over CLT13. In: Fehr, S. (ed.) PKC 2017. LNCS, vol. 10174, pp. 41\u201358. Springer, Heidelberg (2017). https:\/\/doi.org\/10.1007\/978-3-662-54365-8_3"}],"container-title":["Lecture Notes in Computer Science","Theory of Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-03810-6_19","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,7]],"date-time":"2021-11-07T01:03:48Z","timestamp":1636247028000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-03810-6_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783030038090","9783030038106"],"references-count":54,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-03810-6_19","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]},"assertion":[{"value":"8 November 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"TCC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Theory of Cryptography Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Panaji","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":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 November 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14 November 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"tcc2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/tcc.iacr.org\/2018\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}