{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,11,3]],"date-time":"2026-11-03T22:48:43Z","timestamp":1793746123724,"version":"4.6.1"},"publisher-location":"Singapore","reference-count":51,"publisher":"Springer Nature Singapore","isbn-type":[{"value":"9789819550982","type":"print"},{"value":"9789819550999","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T00:00:00Z","timestamp":1765152000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T00:00:00Z","timestamp":1765152000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2026]]},"DOI":"10.1007\/978-981-95-5099-9_13","type":"book-chapter","created":{"date-parts":[[2025,12,7]],"date-time":"2025-12-07T11:38:12Z","timestamp":1765107492000},"page":"396-427","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["DAWN: Smaller and\u00a0Faster NTRU Encryption via\u00a0Double Encoding"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-5887-2392","authenticated-orcid":false,"given":"Yijian","family":"Liu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-0469-1494","authenticated-orcid":false,"given":"Yu","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7091-5810","authenticated-orcid":false,"given":"Xianhui","family":"Lu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-3161-6483","authenticated-orcid":false,"given":"Yao","family":"Cheng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-8982-315X","authenticated-orcid":false,"given":"Yongjian","family":"Yin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,12,8]]},"reference":[{"key":"13_CR1","doi-asserted-by":"publisher","unstructured":"Alagic, G., et al.: Status Report on the Third Round of the NIST Post-Quantum Cryptography Standardization Process (2022-07-05 04:07:00 2022). https:\/\/doi.org\/10.6028\/NIST.IR.8413","DOI":"10.6028\/NIST.IR.8413"},{"key":"13_CR2","doi-asserted-by":"publisher","unstructured":"Albrecht, M.R., Cid, C., Faug\u00e8re, J.C., Fitzpatrick, R., Perret, L.: Algebraic algorithms for LWE problems. ACM Commun. Comput. Algebra 49(2), 62 (Aug 2015). https:\/\/doi.org\/10.1145\/2815111.2815158","DOI":"10.1145\/2815111.2815158"},{"key":"13_CR3","doi-asserted-by":"crossref","unstructured":"Albrecht, M.R., Cid, C., Faug\u00e8re, J.C., Fitzpatrick, R., Perret, L.: On the complexity of the BKW algorithm on LWE. In: Budach, L. (ed.) Designs, Codes and Cryptography, pp. 325\u2013354 (2015)","DOI":"10.1007\/s10623-013-9864-x"},{"key":"13_CR4","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1007\/978-3-319-98113-0_19","volume-title":"Security and Cryptography for Networks","author":"MR Albrecht","year":"2018","unstructured":"Albrecht, M.R., et al.: Estimate All the LWE, NTRU Schemes! In: Catalano, D., De Prisco, R. (eds.) Security and Cryptography for Networks, pp. 351\u2013367. Springer International Publishing, Cham (2018)"},{"key":"13_CR5","doi-asserted-by":"publisher","unstructured":"Albrecht, M.R., Player, R., Scott, S.: On the concrete hardness of Learning with Errors. J. Math. Cryptol. 9(3), 169\u2013203 (2015). https:\/\/doi.org\/10.1515\/jmc-2015-0016","DOI":"10.1515\/jmc-2015-0016"},{"key":"13_CR6","doi-asserted-by":"publisher","unstructured":"Alkim, E., et al.: Polynomial Multiplication in NTRU Prime: Comparison of Optimization Strategies on Cortex-M4 (2020). https:\/\/doi.org\/10.46586\/tches.v2021.i1.217-238","DOI":"10.46586\/tches.v2021.i1.217-238"},{"key":"13_CR7","unstructured":"Alkim, E., Ducas, L., P\u00f6ppelmann, T., Schwabe, P.: Post-quantum key exchange: a new hope. In: Proceedings of the 25th USENIX Conference on Security Symposium, pp. 327\u2013343. SEC\u201916, USENIX Association, USA (2016)"},{"key":"13_CR8","doi-asserted-by":"publisher","first-page":"403","DOI":"10.1007\/978-3-642-22006-7_34","volume-title":"Automata, Languages and Programming","author":"S Arora","year":"2011","unstructured":"Arora, S., Ge, R.: New algorithms for learning in presence of Errors. In: Aceto, L., Henzinger, M., Sgall, J. (eds.) Automata, Languages and Programming, pp. 403\u2013415. Springer, Berlin Heidelberg, Berlin, Heidelberg (2011)"},{"key":"13_CR9","unstructured":"Avanzi, R., Bos, J., Ducas, L., Kiltz, E., Lepoint, T., Lyubashevsky, V., Schanck, J.M., Schwabe, P., Seiler, G., Stehl\u00e9, D.: CRYSTALS\u2013Kyber (2021)"},{"key":"13_CR10","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1007\/978-3-319-08344-5_21","volume-title":"Information Security and Privacy","author":"S Bai","year":"2014","unstructured":"Bai, S., Galbraith, S.D.: Lattice decoding attacks on binary LWE. In: Susilo, W., Mu, Y. (eds.) Information Security and Privacy, pp. 322\u2013337. Springer International Publishing, Cham (2014)"},{"key":"13_CR11","doi-asserted-by":"publisher","unstructured":"Bai, S., Jangir, H., Lin, H., Ngo, T., Wen, W., Zheng, J.: compact encryption based on module-NTRU problems. In: Post-Quantum Cryptography: 15th International Workshop, PQCrypto 2024, Oxford, UK, June 12\u201314, 2024, Proceedings, Part I, pp. 371\u2013405. Springer-Verlag, Berlin, Heidelberg (2024). https:\/\/doi.org\/10.1007\/978-3-031-62743-9_13","DOI":"10.1007\/978-3-031-62743-9_13"},{"key":"13_CR12","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1007\/978-3-319-72565-9_12","volume-title":"Selected Areas in Cryptography - SAC 2017","author":"DJ Bernstein","year":"2018","unstructured":"Bernstein, D.J., Chuengsatiansup, C., Lange, T., van Vredendaal, C.: NTRU Prime: reducing attack surface at low cost. In: Adams, C., Camenisch, J. (eds.) Selected Areas in Cryptography - SAC 2017, pp. 235\u2013260. Springer International Publishing, Cham (2018)"},{"key":"13_CR13","doi-asserted-by":"publisher","unstructured":"Blum, A., Kalai, A., Wasserman, H.: Noise-tolerant learning, the parity problem, and the statistical query model. J. ACM 50(4), 506\u2013519 (Jul 2003). https:\/\/doi.org\/10.1145\/792538.792543","DOI":"10.1145\/792538.792543"},{"key":"13_CR14","doi-asserted-by":"publisher","unstructured":"Bos, J., et al.: CRYSTALS - Kyber: a CCA-secure module-lattice-based KEM. In: 2018 IEEE European Symposium on Security and Privacy (EuroS &P), pp. 353\u2013367 (2018). https:\/\/doi.org\/10.1109\/EuroSP.2018.00032","DOI":"10.1109\/EuroSP.2018.00032"},{"key":"13_CR15","first-page":"1","volume-title":"Theory of Cryptography","author":"Z Brakerski","year":"2020","unstructured":"Brakerski, Z., D\u00f6ttling, N.: Lossiness and entropic hardness forRing-LWE. In: Pass, R., Pietrzak, K. (eds.) Theory of Cryptography, pp. 1\u201327. Springer International Publishing, Cham (2020)"},{"key":"13_CR16","doi-asserted-by":"publisher","unstructured":"Brakerski, Z., Gentry, C., Vaikuntanathan, V.: (Leveled) fully homomorphic encryption without bootstrapping. ACM Trans. Comput. Theory 6(3) (July 2014). https:\/\/doi.org\/10.1145\/2633600","DOI":"10.1145\/2633600"},{"key":"13_CR17","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/978-3-662-49890-3_6","volume-title":"Advances in Cryptology - EUROCRYPT 2016","author":"W Castryck","year":"2016","unstructured":"Castryck, W., Iliashenko, I., Vercauteren, F.: Provably weak instances of ring-LWE revisited. In: Fischlin, M., Coron, J.S. (eds.) Advances in Cryptology - EUROCRYPT 2016, pp. 147\u2013167. Springer, Berlin Heidelberg, Berlin, Heidelberg (2016)"},{"key":"13_CR18","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1007\/978-3-319-70694-8_15","volume-title":"Advances in Cryptology - ASIACRYPT 2017","author":"JH Cheon","year":"2017","unstructured":"Cheon, J.H., Kim, A., Kim, M., Song, Y.: Homomorphic encryption for arithmetic of approximate numbers. In: Takagi, T., Peyrin, T. (eds.) Advances in Cryptology - ASIACRYPT 2017, pp. 409\u2013437. Springer International Publishing, Cham (2017)"},{"key":"13_CR19","doi-asserted-by":"publisher","unstructured":"Chuengsatiansup, C., Prest, T., Stehl\u00e9, D., Wallet, A., Xagawa, K.: Modfalcon: Compact signatures based on module-ntru lattices. In: Proceedings of the 15th ACM Asia Conference on Computer and Communications Security, pp. 853\u2013866. ASIA CCS \u201920, Association for Computing Machinery, New York, NY, USA (2020). https:\/\/doi.org\/10.1145\/3320269.3384758","DOI":"10.1145\/3320269.3384758"},{"key":"13_CR20","doi-asserted-by":"publisher","unstructured":"Chung, C.M.M., Hwang, V., Kannwischer, M.J., Seiler, G., Shih, C.J., Yang, B.Y.: NTT Multiplication for NTT-unfriendly rings: new speed records for saber and NTRU on Cortex-M4 and AVX2. IACR Trans. Cryptograph. Hardw. Embedded Syst. 2021(2), 159\u2013188 (Feb 2021). https:\/\/doi.org\/10.46586\/tches.v2021.i2.159-188","DOI":"10.46586\/tches.v2021.i2.159-188"},{"key":"13_CR21","unstructured":"Chen, C., et al.: NTRU: Algorithm specifications and supporting documentation. Brown University and Onboard security company, Wilmington, USA (2019)"},{"key":"13_CR22","first-page":"22","volume-title":"Advances in Cryptology - ASIACRYPT 2014","author":"L Ducas","year":"2014","unstructured":"Ducas, L., Lyubashevsky, V., Prest, T.: Efficient identity-based encryption over NTRU lattices. In: Sarkar, P., Iwata, T. (eds.) Advances in Cryptology - ASIACRYPT 2014, pp. 22\u201341. Springer, Berlin Heidelberg, Berlin, Heidelberg (2014)"},{"key":"13_CR23","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-030-92068-5_1","volume-title":"Advances in Cryptology - ASIACRYPT 2021","author":"L Ducas","year":"2021","unstructured":"Ducas, L., van Woerden, W.: NTRU fatigue: how stretched is overstretched? In: Tibouchi, M., Wang, H. (eds.) Advances in Cryptology - ASIACRYPT 2021, pp. 3\u201332. Springer International Publishing, Cham (2021)"},{"key":"13_CR24","doi-asserted-by":"publisher","unstructured":"Duman, J., H\u00f6velmanns, K., Kiltz, E., Lyubashevsky, V., Seiler, G., Unruh, D.: A thorough treatment of highly-efficient NTRU instantiations. In: Public-Key Cryptography \u2013 PKC 2023: 26th IACR International Conference on Practice and Theory of Public-Key Cryptography, Atlanta, GA, USA, May 7\u201310, 2023, Proceedings, Part I, pp. 65\u201394. Springer-Verlag, Berlin, Heidelberg (2023). https:\/\/doi.org\/10.1007\/978-3-031-31368-4_3","DOI":"10.1007\/978-3-031-31368-4_3"},{"key":"13_CR25","doi-asserted-by":"publisher","unstructured":"D\u2019Anvers, J.P., Guo, Q., Johansson, T., Nilsson, A., Vercauteren, F., Verbauwhede, I.: Decryption failure attacks on IND-CCA secure lattice-based schemes. In: Public-Key Cryptography \u2013 PKC 2019. Lecture Notes in Computer Science, vol. 11443, pp. 565\u2013598. Springer (2019). https:\/\/doi.org\/10.1007\/978-3-030-17259-6_19","DOI":"10.1007\/978-3-030-17259-6_19"},{"key":"13_CR26","unstructured":"Elias, Y., Lauter, K.E., Ozman, E., Stange, K.E.: Provably weak instances of Ring-LWE. CoRR abs\/1502.03708 (2015). http:\/\/arxiv.org\/abs\/1502.03708"},{"key":"13_CR27","unstructured":"Fouque, P.A., et al.: Falcon: Fast-Fourier Lattice-based Compact Signatures over NTRU (2019)"},{"key":"13_CR28","doi-asserted-by":"publisher","unstructured":"Fouque, P.A., Kirchner, P., Pornin, T., Yu, Y.: BAT: Small and fast KEM over NTRU lattices. IACR Trans. Cryptograph. Hardw. Embedd. Syst. 2022, 240\u2013265 (02 2022). https:\/\/doi.org\/10.46586\/tches.v2022.i2.240-265","DOI":"10.46586\/tches.v2022.i2.240-265"},{"key":"13_CR29","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1007\/978-3-030-92068-5_2","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2021","author":"Q Guo","year":"2021","unstructured":"Guo, Q., Johansson, T.: Faster dual lattice attacks for\u00a0solving LWE with\u00a0applications to\u00a0CRYSTALS. In: Tibouchi, M., Wang, H. (eds.) ASIACRYPT 2021. LNCS, vol. 13093, pp. 33\u201362. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-92068-5_2"},{"key":"13_CR30","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1007\/978-3-030-34578-5_4","volume-title":"Advances in Cryptology - ASIACRYPT 2019","author":"Q Guo","year":"2019","unstructured":"Guo, Q., Johansson, T., Yang, J.: A novel CCA attack using decryption errors against LAC. In: Galbraith, S.D., Moriai, S. (eds.) Advances in Cryptology - ASIACRYPT 2019, pp. 82\u2013111. Springer International Publishing, Cham (2019)"},{"key":"13_CR31","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/BFb0054868","volume-title":"Algorithmic Number Theory","author":"J Hoffstein","year":"1998","unstructured":"Hoffstein, J., Pipher, J., Silverman, J.H.: NTRU: a ring-based public key cryptosystem. In: Buhler, J.P. (ed.) Algorithmic Number Theory, pp. 267\u2013288. Springer, Berlin Heidelberg, Berlin, Heidelberg (1998)"},{"key":"13_CR32","doi-asserted-by":"publisher","unstructured":"Hoffstein, J., Silverman, J.: Optimizations for NTRU. In: Alster, K., Urbanowicz, J., Williams, H.C. (eds.) Public-Key Cryptography and Computational Number Theory, pp. 77\u201388. De Gruyter, Berlin, New York (2001). https:\/\/doi.org\/10.1515\/9783110881035.77","DOI":"10.1515\/9783110881035.77"},{"key":"13_CR33","doi-asserted-by":"crossref","unstructured":"Hofheinz, D., H\u00f6velmanns, K., Kiltz, E.: A modular analysis of the Fujisaki-okamoto transformation. In: TCC (1). LNCS, vol. 10677, pp. 341\u2013371. Springer (2017)","DOI":"10.1007\/978-3-319-70500-2_12"},{"key":"13_CR34","doi-asserted-by":"publisher","first-page":"232","DOI":"10.1007\/978-3-319-66787-4_12","volume-title":"Cryptographic Hardware and Embedded Systems - CHES 2017","author":"A H\u00fclsing","year":"2017","unstructured":"H\u00fclsing, A., Rijneveld, J., Schanck, J., Schwabe, P.: High-speed key encapsulation from NTRU. In: Fischer, W., Homma, N. (eds.) Cryptographic Hardware and Embedded Systems - CHES 2017, pp. 232\u2013252. Springer International Publishing, Cham (2017)"},{"key":"13_CR35","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1007\/978-3-319-96878-0_4","volume-title":"Advances in Cryptology \u2013 CRYPTO 2018","author":"H Jiang","year":"2018","unstructured":"Jiang, H., Zhang, Z., Chen, L., Wang, H., Ma, Z.: IND-CCA-secure key encapsulation mechanism in the quantum random oracle model, revisited. In: Shacham, H., Boldyreva, A. (eds.) CRYPTO 2018. LNCS, vol. 10993, pp. 96\u2013125. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-96878-0_4"},{"issue":"3","key":"13_CR36","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1287\/moor.12.3.415","volume":"12","author":"R Kannan","year":"1987","unstructured":"Kannan, R.: Minkowski\u2019s convex body theorem and integer programming. Math. Oper. Res. 12(3), 415\u2013440 (1987)","journal-title":"Math. Oper. Res."},{"key":"13_CR37","doi-asserted-by":"publisher","first-page":"4760","DOI":"10.1109\/TIFS.2023.3299172","volume":"18","author":"J Kim","year":"2023","unstructured":"Kim, J., Park, J.H.: NTRU+: compact construction of NTRU using simple encoding method. IEEE Trans. Inf. Forensics Secur. 18, 4760\u20134774 (2023). https:\/\/doi.org\/10.1109\/TIFS.2023.3299172","journal-title":"IEEE Trans. Inf. Forensics Secur."},{"key":"13_CR38","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/978-3-030-56880-1_6","volume-title":"Advances in Cryptology - CRYPTO 2020","author":"P Kirchner","year":"2020","unstructured":"Kirchner, P., Espitau, T., Fouque, P.A.: Fast reduction of algebraic lattices over cyclotomic fields. In: Micciancio, D., Ristenpart, T. (eds.) Advances in Cryptology - CRYPTO 2020, pp. 155\u2013185. Springer International Publishing, Cham (2020)"},{"key":"13_CR39","doi-asserted-by":"crossref","unstructured":"Liang, Z., Fang, B., Zheng, J., Zhao, Y.: Compact and Efficient KEMs over NTRU Lattices (2022). https:\/\/arxiv.org\/abs\/2205.05413","DOI":"10.2139\/ssrn.4605000"},{"key":"13_CR40","doi-asserted-by":"publisher","unstructured":"L\u00f3pez-Alt, A., Tromer, E., Vaikuntanathan, V.: On-the-fly multiparty computation on the cloud via multikey fully homomorphic encryption. In: Proceedings of the Forty-Fourth Annual ACM Symposium on Theory of Computing, pp. 1219\u20131234. STOC \u201912, Association for Computing Machinery, New York, NY, USA (2012). https:\/\/doi.org\/10.1145\/2213977.2214086","DOI":"10.1145\/2213977.2214086"},{"key":"13_CR41","unstructured":"Lu, X., et al.: LAC: Practical Ring-LWE Based Public-Key Encryption with Byte-Level Modulus. Cryptology ePrint Archive, Paper 2018\/1009 (2018). https:\/\/eprint.iacr.org\/2018\/1009"},{"key":"13_CR42","first-page":"1","volume-title":"Advances in Cryptology - EUROCRYPT 2010","author":"V Lyubashevsky","year":"2010","unstructured":"Lyubashevsky, V., Peikert, C., Regev, O.: On ideal lattices and learning with errors over rings. In: Gilbert, H. (ed.) Advances in Cryptology - EUROCRYPT 2010, pp. 1\u201323. Springer, Berlin Heidelberg, Berlin, Heidelberg (2010)"},{"key":"13_CR43","doi-asserted-by":"publisher","unstructured":"Lyubashevsky, V., Seiler, G.: NTTRU: truly fast NTRU using NTT. IACR Trans. Cryptograph. Hardw. Embedd. Syst. 2019(3), 180\u2013201 (May 2019). https:\/\/doi.org\/10.13154\/tches.v2019.i3.180-201","DOI":"10.13154\/tches.v2019.i3.180-201"},{"key":"13_CR44","unstructured":"MATZOV: Report on the Security of LWE: Improved Dual Lattice Attack (2022). https:\/\/api.semanticscholar.org\/CorpusID:251600824"},{"key":"13_CR45","unstructured":"NIST: NIST: Post-Quantum Cryptography Standardization (2017). https:\/\/csrc.nist.gov\/projects\/post-quantum-cryptography\/post-quantum-cryptography-standardization\/submission-requirements"},{"key":"13_CR46","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-030-92062-3_1","volume-title":"Advances in Cryptology - ASIACRYPT 2021","author":"A Pellet-Mary","year":"2021","unstructured":"Pellet-Mary, A., Stehl\u00e9, D.: On the hardness of the NTRU problem. In: Tibouchi, M., Wang, H. (eds.) Advances in Cryptology - ASIACRYPT 2021, pp. 3\u201335. Springer International Publishing, Cham (2021)"},{"key":"13_CR47","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1007\/3-540-54458-5_51","volume-title":"Fundamentals of Computation Theory","author":"CP Schnorr","year":"1991","unstructured":"Schnorr, C.P., Euchner, M.: Lattice basis reduction: improved practical algorithms and solving subset sum problems. In: Budach, L. (ed.) Fundamentals of Computation Theory, pp. 68\u201385. Springer, Berlin Heidelberg, Berlin, Heidelberg (1991)"},{"key":"13_CR48","unstructured":"Seiler, G.: Faster AVX2 optimized NTT multiplication for Ring-LWE lattice cryptography (2018). report 2018\/039"},{"key":"13_CR49","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1007\/978-3-642-20465-4_4","volume-title":"Advances in Cryptology - EUROCRYPT 2011","author":"D Stehl\u00e9","year":"2011","unstructured":"Stehl\u00e9, D., Steinfeld, R.: Making NTRU as secure as worst-case problems over ideal lattices. In: Paterson, K.G. (ed.) Advances in Cryptology - EUROCRYPT 2011, pp. 27\u201347. Springer, Berlin Heidelberg, Berlin, Heidelberg (2011)"},{"key":"13_CR50","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1007\/978-3-642-10366-7_36","volume-title":"Advances in Cryptology - ASIACRYPT 2009","author":"D Stehl\u00e9","year":"2009","unstructured":"Stehl\u00e9, D., Steinfeld, R., Tanaka, K., Xagawa, K.: Efficient Public Key Encryption Based on Ideal Lattices. In: Matsui, M. (ed.) Advances in Cryptology - ASIACRYPT 2009, pp. 617\u2013635. Springer, Berlin Heidelberg, Berlin, Heidelberg (2009)"},{"key":"13_CR51","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/978-981-99-8739-9_6","volume-title":"Advances in Cryptology - ASIACRYPT 2023","author":"J Zhang","year":"2023","unstructured":"Zhang, J., Feng, D., Yan, D.: NEV: faster and smaller NTRU encryption using vector decoding. In: Guo, J., Steinfeld, R. (eds.) Advances in Cryptology - ASIACRYPT 2023, pp. 157\u2013189. Springer Nature Singapore, Singapore (2023)"}],"container-title":["Lecture Notes in Computer Science","Advances in Cryptology \u2013 ASIACRYPT 2025"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-95-5099-9_13","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,9]],"date-time":"2026-02-09T17:49:02Z","timestamp":1770659342000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-981-95-5099-9_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,8]]},"ISBN":["9789819550982","9789819550999"],"references-count":51,"URL":"https:\/\/doi.org\/10.1007\/978-981-95-5099-9_13","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,12,8]]},"assertion":[{"value":"8 December 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ASIACRYPT","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on the Theory and Application of Cryptology and Information Security","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Melbourne, VIC","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Australia","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2025","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8 December 2025","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12 December 2025","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"31","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"asiacrypt2025","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/asiacrypt.iacr.org\/2025\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}