{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T03:32:37Z","timestamp":1761708757925,"version":"3.40.2"},"publisher-location":"Berlin, Heidelberg","reference-count":57,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642289132"},{"type":"electronic","value":"9783642289149"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-28914-9_31","type":"book-chapter","created":{"date-parts":[[2012,3,5]],"date-time":"2012-03-05T21:12:39Z","timestamp":1330981959000},"page":"548-563","source":"Crossref","is-referenced-by-count":19,"title":["Subspace LWE"],"prefix":"10.1007","author":[{"given":"Krzysztof","family":"Pietrzak","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"31_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.\u00a06110, pp. 553\u2013572. Springer, Heidelberg (2010)"},{"key":"31_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","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.\u00a06223, pp. 98\u2013115. Springer, Heidelberg (2010)"},{"key":"31_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"403","DOI":"10.1007\/978-3-642-13190-5_21","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2010","author":"T. Acar","year":"2010","unstructured":"Acar, T., Belenkiy, M., Bellare, M., Cash, D.: Cryptographic Agility and Its Relation to Circular Encryption. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol.\u00a06110, pp. 403\u2013422. Springer, Heidelberg (2010)"},{"key":"31_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1007\/978-3-642-03356-8_35","volume-title":"Advances in Cryptology - CRYPTO 2009","author":"B. Applebaum","year":"2009","unstructured":"Applebaum, B., Cash, D., Peikert, C., Sahai, A.: Fast Cryptographic Primitives and Circular-Secure Encryption Based on Hard Learning Problems. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol.\u00a05677, pp. 595\u2013618. Springer, Heidelberg (2009)"},{"key":"31_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1007\/978-3-642-03356-8_3","volume-title":"Advances in Cryptology - CRYPTO 2009","author":"J. Alwen","year":"2009","unstructured":"Alwen, J., Dodis, Y., Wichs, D.: Leakage-Resilient Public-Key Cryptography in the Bounded-Retrieval Model. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol.\u00a05677, pp. 36\u201354. Springer, Heidelberg (2009)"},{"key":"31_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1007\/978-3-642-00457-5_28","volume-title":"Theory of Cryptography","author":"A. Akavia","year":"2009","unstructured":"Akavia, A., Goldwasser, S., Vaikuntanathan, V.: Simultaneous Hardcore Bits and Cryptography against Memory Attacks. In: Reingold, O. (ed.) TCC 2009. LNCS, vol.\u00a05444, pp. 474\u2013495. Springer, Heidelberg (2009)"},{"key":"31_CR7","unstructured":"Applebaum, B., Harnik, D., Ishai, Y.: Semantic security under related-key attacks and applications. In: 2nd Innovations in Computer Science (ICS), pp. 45\u201360 (2011)"},{"key":"31_CR8","doi-asserted-by":"crossref","unstructured":"Alekhnovich, M.: More on average case vs approximation complexity. In: 44th FOCS, pp. 298\u2013307. IEEE Computer Society Press (October 2003)","DOI":"10.1109\/SFCS.2003.1238204"},{"key":"31_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"666","DOI":"10.1007\/978-3-642-14623-7_36","volume-title":"Advances in Cryptology \u2013 CRYPTO 2010","author":"M. Bellare","year":"2010","unstructured":"Bellare, M., Cash, D.: Pseudorandom Functions and Permutations Provably Secure against Related-Key Attacks. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol.\u00a06223, pp. 666\u2013684. Springer, Heidelberg (2010)"},{"key":"31_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1007\/11935230_27","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2006","author":"E. Biham","year":"2006","unstructured":"Biham, E., Dunkelman, O., Keller, N.: New Cryptanalytic Results on IDEA. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol.\u00a04284, pp. 412\u2013427. Springer, Heidelberg (2006)"},{"key":"31_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/978-3-540-71039-4_5","volume-title":"Fast Software Encryption","author":"E. Biham","year":"2008","unstructured":"Biham, E., Dunkelman, O., Keller, N.: A Unified Approach to Related-Key Attacks. In: Nyberg, K. (ed.) FSE 2008. LNCS, vol.\u00a05086, pp. 73\u201396. Springer, Heidelberg (2008)"},{"key":"31_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"278","DOI":"10.1007\/3-540-48329-2_24","volume-title":"Advances in Cryptology - CRYPTO \u201993","author":"A. Blum","year":"1994","unstructured":"Blum, A., Furst, M.L., Kearns, M., Lipton, R.J.: Cryptographic Primitives Based on Hard Learning Problems. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol.\u00a0773, pp. 278\u2013291. Springer, Heidelberg (1994)"},{"key":"31_CR13","series-title":"Lecture Notes in Computer Science","first-page":"1","volume-title":"Advances in Cryptology \u2013 CRYPTO 2010","author":"Z. Brakerski","year":"2010","unstructured":"Brakerski, Z., Goldwasser, S.: Circular and Leakage Resilient Public-Key Encryption under Subgroup Indistinguishability (or: Quadratic Residuosity Strikes Back). In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol.\u00a06223, pp. 1\u201320. Springer, Heidelberg (2010)"},{"key":"31_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1007\/978-3-642-13190-5_22","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2010","author":"B. Barak","year":"2010","unstructured":"Barak, B., Haitner, I., Hofheinz, D., Ishai, Y.: Bounded Key-Dependent Message Security. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol.\u00a06110, pp. 423\u2013444. Springer, Heidelberg (2010)"},{"key":"31_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1007\/978-3-540-85174-5_7","volume-title":"Advances in Cryptology \u2013 CRYPTO 2008","author":"D. Boneh","year":"2008","unstructured":"Boneh, D., Halevi, S., Hamburg, M., Ostrovsky, R.: Circular-Secure Encryption from Decision Diffie-Hellman. In: Wagner, D. (ed.) CRYPTO 2008. LNCS, vol.\u00a05157, pp. 108\u2013125. Springer, Heidelberg (2008)"},{"issue":"4","key":"31_CR16","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/BF00203965","volume":"7","author":"E. Biham","year":"1994","unstructured":"Biham, E.: New types of cryptanalytic attacks using related keys. Journal of Cryptology\u00a07(4), 229\u2013246 (1994)","journal-title":"Journal of Cryptology"},{"key":"31_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"491","DOI":"10.1007\/3-540-39200-9_31","volume-title":"Advances in Cryptology \u2013 EUROCRPYT 2003","author":"M. Bellare","year":"2003","unstructured":"Bellare, M., Kohno, T.: A Theoretical Treatment of Related-key Attacks: RKA-PRPs, RKA-PRFs, and Applications. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol.\u00a02656, pp. 491\u2013506. Springer, Heidelberg (2003)"},{"key":"31_CR18","doi-asserted-by":"crossref","unstructured":"Blum, A., Kalai, A., Wasserman, H.: Noise-tolerant learning, the parity problem, and the statistical query model. In: 32nd ACM STOC, pp. 435\u2013440. ACM Press (May 2000)","DOI":"10.1145\/335305.335355"},{"key":"31_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1007\/3-540-36492-7_6","volume-title":"Selected Areas in Cryptography","author":"J. Black","year":"2003","unstructured":"Black, J., Rogaway, P., Shrimpton, T.: Encryption-Scheme Security in the Presence of Key-Dependent Messages. In: Nyberg, K., Heys, H.M. (eds.) SAC 2002. LNCS, vol.\u00a02595, pp. 62\u201375. Springer, Heidelberg (2003)"},{"key":"31_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1007\/978-3-540-70936-7_26","volume-title":"Theory of Cryptography","author":"D. Cash","year":"2007","unstructured":"Cash, D., Ding, Y.Z., Dodis, Y., Lee, W., Lipton, R.J., Walfish, S.: Intrusion-Resilient Key Exchange in the Bounded Retrieval Model. In: Vadhan, S.P. (ed.) TCC 2007. LNCS, vol.\u00a04392, pp. 479\u2013498. Springer, Heidelberg (2007)"},{"key":"31_CR21","doi-asserted-by":"crossref","unstructured":"Chor, B., Goldreich, O., Hastad, J., Friedman, J., Rudich, S., Smolensky, R.: The bit extraction problem of t-resilient functions (preliminary version). In: FOCS, pp. 396\u2013407 (1985)","DOI":"10.1109\/SFCS.1985.55"},{"key":"31_CR22","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.\u00a06110, pp. 523\u2013552. Springer, Heidelberg (2010)"},{"key":"31_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"361","DOI":"10.1007\/978-3-642-11799-2_22","volume-title":"Theory of Cryptography","author":"Y. Dodis","year":"2010","unstructured":"Dodis, Y., Goldwasser, S., Tauman Kalai, Y., Peikert, C., Vaikuntanathan, V.: Public-Key Encryption Schemes with Auxiliary Inputs. In: Micciancio, D. (ed.) TCC 2010. LNCS, vol.\u00a05978, pp. 361\u2013381. Springer, Heidelberg (2010)"},{"key":"31_CR24","doi-asserted-by":"crossref","unstructured":"Dodis, Y., Kalai, Y.T., Lovett, S.: On cryptography with auxiliary input. In: Mitzenmacher, M. (ed.) 41st ACM STOC, pp. 621\u2013630. ACM Press (May\/June 2009)","DOI":"10.1145\/1536414.1536498"},{"key":"31_CR25","doi-asserted-by":"crossref","unstructured":"Dziembowski, S., Pietrzak, K.: Intrusion-resilient secret sharing. In: 48th FOCS, pp. 227\u2013237. IEEE Computer Society Press (October 2007)","DOI":"10.1109\/FOCS.2007.4389495"},{"key":"31_CR26","doi-asserted-by":"crossref","unstructured":"Dziembowski, S., Pietrzak, K.: Leakage-resilient cryptography. In: 49th FOCS, pp. 293\u2013302. IEEE Computer Society Press (October 2008)","DOI":"10.1109\/FOCS.2008.56"},{"key":"31_CR27","doi-asserted-by":"crossref","unstructured":"Dodis, Y., Wichs, D.: Non-malleable extractors and symmetric key cryptography from weak secrets. In: Mitzenmacher, M. (ed.) 41st ACM STOC, pp. 601\u2013610. ACM Press (May\/June 2009)","DOI":"10.1145\/1536414.1536496"},{"key":"31_CR28","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1007\/11681878_11","volume-title":"Theory of Cryptography","author":"S. Dziembowski","year":"2006","unstructured":"Dziembowski, S.: Intrusion-Resilience via the Bounded-Storage Model. In: Halevi, S., Rabin, T. (eds.) TCC 2006. LNCS, vol.\u00a03876, pp. 207\u2013224. Springer, Heidelberg (2006)"},{"key":"31_CR29","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1007\/3-540-44706-7_15","volume-title":"Fast Software Encryption","author":"N. Ferguson","year":"2001","unstructured":"Ferguson, N., Kelsey, J., Lucks, S., Schneier, B., Stay, M., Wagner, D., Whiting, D.L.: Improved Cryptanalysis of Rijndael. In: Schneier, B. (ed.) FSE 2000. LNCS, vol.\u00a01978, pp. 213\u2013230. Springer, Heidelberg (2001)"},{"key":"31_CR30","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/3-540-68339-9_22","volume-title":"Advances in Cryptology - EUROCRYPT \u201996","author":"J.-B. Fischer","year":"1996","unstructured":"Fischer, J.-B., Stern, J.: An Efficient Pseudo-random Generator Provably as Secure as Syndrome Decoding. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol.\u00a01070, pp. 245\u2013255. Springer, Heidelberg (1996)"},{"key":"31_CR31","unstructured":"Goldwasser, S., Kalai, Y., Peikert, C., Vaikuntanathan, V.: Robustness of the learning with errors assumption. In: 1st Innovations in Computer Science (ICS) (2010)"},{"issue":"2","key":"31_CR32","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1016\/0022-0000(84)90070-9","volume":"28","author":"S. Goldwasser","year":"1984","unstructured":"Goldwasser, S., Micali, S.: Probabilistic encryption. Journal of Computer and System Sciences\u00a028(2), 270\u2013299 (1984)","journal-title":"Journal of Computer and System Sciences"},{"key":"31_CR33","doi-asserted-by":"crossref","unstructured":"Gentry, C., Peikert, C., Vaikuntanathan, V.: Trapdoors for hard lattices and new cryptographic constructions. In: Ladner, R.E., Dwork, C. (eds.) 40th ACM STOC, pp. 197\u2013206. ACM Press (May 2008)","DOI":"10.1145\/1374376.1374407"},{"key":"31_CR34","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"679","DOI":"10.1007\/978-3-540-70583-3_55","volume-title":"Automata, Languages and Programming","author":"H. Gilbert","year":"2008","unstructured":"Gilbert, H., Robshaw, M., Seurin, Y.: How to Encrypt with the LPN Problem. In: Aceto, L., Damg\u00e5rd, I., Goldberg, L.A., Halld\u00f3rsson, M.M., Ing\u00f3lfsd\u00f3ttir, A., Walukiewicz, I. (eds.) ICALP 2008, Part II. LNCS, vol.\u00a05126, pp. 679\u2013690. Springer, Heidelberg (2008)"},{"key":"31_CR35","doi-asserted-by":"crossref","unstructured":"Halevi, S., Krawczyk, H.: Security under key-dependent inputs. In: Ning, P., De Capitani di Vimercati, S., Syverson, P.F. (eds.) ACM CCS 2007, pp. 466\u2013475. ACM Press (October 2007)","DOI":"10.1145\/1315245.1315303"},{"key":"31_CR36","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"108","DOI":"10.1007\/978-3-540-78967-3_7","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2008","author":"D. Hofheinz","year":"2008","unstructured":"Hofheinz, D., Unruh, D.: Towards\u00a0Key-Dependent\u00a0Message\u00a0Security in\u00a0the\u00a0Standard\u00a0Model. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol.\u00a04965, pp. 108\u2013126. Springer, Heidelberg (2008)"},{"key":"31_CR37","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1007\/978-3-540-45146-4_27","volume-title":"Advances in Cryptology - CRYPTO 2003","author":"Y. Ishai","year":"2003","unstructured":"Ishai, Y., Sahai, A., Wagner, D.: Private Circuits: Securing Hardware against Probing Attacks. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol.\u00a02729, pp. 463\u2013481. Springer, Heidelberg (2003)"},{"key":"31_CR38","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"208","DOI":"10.1007\/978-3-540-24654-1_15","volume-title":"Selected Areas in Cryptography","author":"G. Jakimoski","year":"2004","unstructured":"Jakimoski, G., Desmedt, Y.: Related-key Differential Cryptanalysis of 192-Bit Key AES Variants. In: Matsui, M., Zuccherato, R.J. (eds.) SAC 2003. LNCS, vol.\u00a03006, pp. 208\u2013221. Springer, Heidelberg (2004)"},{"key":"31_CR39","doi-asserted-by":"crossref","unstructured":"Kearns, M.J.: Efficient noise-tolerant learning from statistical queries. In: 25th ACM STOC, pp. 392\u2013401. ACM Press (May 1993)","DOI":"10.1145\/167088.167200"},{"key":"31_CR40","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1007\/3-540-57220-1_62","volume-title":"Advances in Cryptology - AUSCRYPT \u201992","author":"L.R. Knudsen","year":"1993","unstructured":"Knudsen, L.R.: Cryptanalysis of LOKI91. In: Zheng, Y., Seberry, J. (eds.) AUSCRYPT 1992. LNCS, vol.\u00a0718, pp. 196\u2013208. Springer, Heidelberg (1993)"},{"key":"31_CR41","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1007\/978-3-642-20465-4_3","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2011","author":"E. Kiltz","year":"2011","unstructured":"Kiltz, E., Pietrzak, K., Cash, D., Jain, A., Venturi, D.: Efficient Authentication from Hard Learning Problems. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol.\u00a06632, pp. 7\u201326. Springer, Heidelberg (2011)"},{"key":"31_CR42","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/11761679_6","volume-title":"Advances in Cryptology - EUROCRYPT 2006","author":"J. Katz","year":"2006","unstructured":"Katz, J., Shin, J.S.: Parallel and Concurrent Security of the HB and HB\u2009+\u2009 Protocols. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol.\u00a04004, pp. 73\u201387. Springer, Heidelberg (2006)"},{"key":"31_CR43","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"372","DOI":"10.1007\/978-3-540-89255-7_23","volume-title":"Advances in Cryptology - ASIACRYPT 2008","author":"A. Kawachi","year":"2008","unstructured":"Kawachi, A., Tanaka, K., Xagawa, K.: Concurrently Secure Identification Schemes Based on the Worst-Case Hardness of Lattice Problems. In: Pieprzyk, J. (ed.) ASIACRYPT 2008. LNCS, vol.\u00a05350, pp. 372\u2013389. Springer, Heidelberg (2008)"},{"key":"31_CR44","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"703","DOI":"10.1007\/978-3-642-10366-7_41","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2009","author":"J. Katz","year":"2009","unstructured":"Katz, J., Vaikuntanathan, V.: Signature Schemes with Bounded Leakage Resilience. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol.\u00a05912, pp. 703\u2013720. Springer, Heidelberg (2009)"},{"key":"31_CR45","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1007\/978-3-540-71039-4_4","volume-title":"Fast Software Encryption","author":"V. Lyubashevsky","year":"2008","unstructured":"Lyubashevsky, V., Micciancio, D., Peikert, C., Rosen, A.: SWIFFT: A Modest Proposal for FFT Hashing. In: Nyberg, K. (ed.) FSE 2008. LNCS, vol.\u00a05086, pp. 54\u201372. Springer, Heidelberg (2008)"},{"key":"31_CR46","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1007\/978-3-540-25937-4_23","volume-title":"Fast Software Encryption","author":"S. Lucks","year":"2004","unstructured":"Lucks, S.: Ciphers Secure against Related-Key Attacks. In: Roy, B., Meier, W. (eds.) FSE 2004. LNCS, vol.\u00a03017, pp. 359\u2013370. Springer, Heidelberg (2004)"},{"key":"31_CR47","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"162","DOI":"10.1007\/978-3-540-78440-1_10","volume-title":"Public Key Cryptography \u2013 PKC 2008","author":"V. Lyubashevsky","year":"2008","unstructured":"Lyubashevsky, V.: Lattice-Based Identification Schemes Secure Under Active Attacks. In: Cramer, R. (ed.) PKC 2008. LNCS, vol.\u00a04939, pp. 162\u2013179. Springer, Heidelberg (2008)"},{"key":"31_CR48","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"598","DOI":"10.1007\/978-3-642-10366-7_35","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2009","author":"V. Lyubashevsky","year":"2009","unstructured":"Lyubashevsky, V.: Fiat-Shamir with Aborts: Applications to Lattice and Factoring-Based Signatures. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol.\u00a05912, pp. 598\u2013616. Springer, Heidelberg (2009)"},{"key":"31_CR49","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1007\/978-3-540-24638-1_16","volume-title":"Theory of Cryptography","author":"S. Micali","year":"2004","unstructured":"Micali, S., Reyzin, L.: Physically Observable Cryptography (Extended Abstract). In: Naor, M. (ed.) TCC 2004. LNCS, vol.\u00a02951, pp. 278\u2013296. Springer, Heidelberg (2004)"},{"key":"31_CR50","doi-asserted-by":"crossref","unstructured":"Peikert, C.: Public-key cryptosystems from the worst-case shortest vector problem: extended abstract. In: Mitzenmacher, M. (ed.) 41st ACM STOC, pp. 333\u2013342. ACM Press (May\/June 2009)","DOI":"10.1145\/1536414.1536461"},{"key":"31_CR51","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"462","DOI":"10.1007\/978-3-642-01001-9_27","volume-title":"Advances in Cryptology - EUROCRYPT 2009","author":"K. Pietrzak","year":"2009","unstructured":"Pietrzak, K.: A Leakage-Resilient Mode of Operation. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol.\u00a05479, pp. 462\u2013482. Springer, Heidelberg (2009)"},{"key":"31_CR52","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1007\/11681878_8","volume-title":"Theory of Cryptography","author":"C. Peikert","year":"2006","unstructured":"Peikert, C., Rosen, A.: Efficient Collision-Resistant Hashing from Worst-Case Assumptions on Cyclic Lattices. In: Halevi, S., Rabin, T. (eds.) TCC 2006. LNCS, vol.\u00a03876, pp. 145\u2013166. Springer, Heidelberg (2006)"},{"key":"31_CR53","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"554","DOI":"10.1007\/978-3-540-85174-5_31","volume-title":"Advances in Cryptology \u2013 CRYPTO 2008","author":"C. Peikert","year":"2008","unstructured":"Peikert, C., Vaikuntanathan, V., Waters, B.: A Framework for Efficient and Composable Oblivious Transfer. In: Wagner, D. (ed.) CRYPTO 2008. LNCS, vol.\u00a05157, pp. 554\u2013571. Springer, Heidelberg (2008)"},{"key":"31_CR54","doi-asserted-by":"crossref","unstructured":"Peikert, C., Waters, B.: Lossy trapdoor functions and their applications. In: Ladner, R.E., Dwork, C. (eds.) 40th ACM STOC, pp. 187\u2013196. ACM Press (May 2008)","DOI":"10.1145\/1374376.1374406"},{"key":"31_CR55","doi-asserted-by":"crossref","unstructured":"Regev, O.: On lattices, learning with errors, random linear codes, and cryptography. In: Gabow, H.N., Fagin, R. (eds.) 37th ACM STOC, pp. 84\u201393. ACM Press (May 2005)","DOI":"10.1145\/1060590.1060603"},{"key":"31_CR56","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1007\/3-540-48329-2_2","volume-title":"Advances in Cryptology - CRYPTO \u201993","author":"J. Stern","year":"1994","unstructured":"Stern, J.: A New Identification Scheme Based on Syndrome Decoding. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol.\u00a0773, pp. 13\u201321. Springer, Heidelberg (1994)"},{"key":"31_CR57","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/978-3-540-77026-8_7","volume-title":"Progress in Cryptology \u2013 INDOCRYPT 2007","author":"W. Zhang","year":"2007","unstructured":"Zhang, W., Zhang, L., Wu, W., Feng, D.: Related-Key Differential-Linear Attacks on Reduced AES-192. In: Srinathan, K., Pandu Rangan, C., Yung, M. (eds.) INDOCRYPT 2007. LNCS, vol.\u00a04859, pp. 73\u201385. Springer, Heidelberg (2007)"}],"container-title":["Lecture Notes in Computer Science","Theory of Cryptography"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-28914-9_31.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,22]],"date-time":"2025-03-22T12:04:01Z","timestamp":1742645041000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-28914-9_31"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642289132","9783642289149"],"references-count":57,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-28914-9_31","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2012]]}}}