{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T21:49:30Z","timestamp":1743025770529,"version":"3.40.3"},"publisher-location":"Cham","reference-count":24,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031515828"},{"type":"electronic","value":"9783031515835"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"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":[[2024]]},"DOI":"10.1007\/978-3-031-51583-5_1","type":"book-chapter","created":{"date-parts":[[2024,1,4]],"date-time":"2024-01-04T18:03:41Z","timestamp":1704391421000},"page":"1-19","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Results on\u00a0the\u00a0Key Space of\u00a0Group-Ring NTRU: The Case of\u00a0the\u00a0Dihedral Group"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5576-7039","authenticated-orcid":false,"given":"Ali","family":"Raya","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1981-1984","authenticated-orcid":false,"given":"Vikas","family":"Kumar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sugata","family":"Gangopadhyay","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aditi Kar","family":"Gangopadhyay","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,1,5]]},"reference":[{"key":"1_CR1","doi-asserted-by":"crossref","unstructured":"Alagic, G., et al.: Status report on the third round of the NIST post-quantum cryptography standardization process. US Department of Commerce, NIST (2022). https:\/\/tsapps.nist.gov\/publication\/get_pdf.cfm?pub_id=934458","DOI":"10.6028\/NIST.IR.8413"},{"key":"1_CR2","unstructured":"Avanzi, R., et al.: Crystals-Kyber algorithm specifications and supporting documentation. NIST PQC Round (2020). https:\/\/csrc.nist.gov\/Projects\/post-quantum-cryptography\/post-quantum-cryptography-standardization\/round-3-submissions"},{"key":"1_CR3","unstructured":"Basso, A., et al.: SABER: Mod-LWR based KEM (round 3 submission). NIST PQC Round (2020). https:\/\/csrc.nist.gov\/Projects\/post-quantum-cryptography\/post-quantum-cryptography-standardization\/round-3-submissions"},{"key":"1_CR4","unstructured":"Chen, C., et al.: NTRU: algorithm specifications and supporting documentation. NIST (2020). https:\/\/csrc.nist.gov\/Projects\/post-quantum-cryptography\/post-quantum-cryptography-standardization\/round-3-submissions"},{"key":"1_CR5","unstructured":"Coppersmith, D.: Attacking non-commutative NTRU. Technical report, IBM research report, April 1997. Report (2006). https:\/\/dominoweb.draco.res.ibm.com\/d102d0885e971b558525659300727a26.html"},{"key":"1_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1007\/3-540-69053-0_5","volume-title":"Advances in Cryptology \u2014 EUROCRYPT \u201997","author":"D Coppersmith","year":"1997","unstructured":"Coppersmith, D., Shamir, A.: Lattice attacks on NTRU. In: Fumy, W. (ed.) EUROCRYPT 1997. LNCS, vol. 1233, pp. 52\u201361. Springer, Heidelberg (1997). https:\/\/doi.org\/10.1007\/3-540-69053-0_5"},{"key":"1_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1007\/978-3-642-40041-4_3","volume-title":"Advances in Cryptology \u2013 CRYPTO 2013","author":"L Ducas","year":"2013","unstructured":"Ducas, L., Durmus, A., Lepoint, T., Lyubashevsky, V.: Lattice signatures and bimodal gaussians. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013. LNCS, vol. 8042, pp. 40\u201356. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-40041-4_3"},{"key":"1_CR8","unstructured":"Fouque, P.A., et al.: Falcon: fast-fourier lattice-based compact signatures over NTRU. NIST PQC Round (2020). https:\/\/csrc.nist.gov\/Projects\/post-quantum-cryptography\/post-quantum-cryptography-standardization\/round-3-submissions"},{"key":"1_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1007\/978-3-642-01957-9_27","volume-title":"Applied Cryptography and Network Security","author":"PS Hirschhorn","year":"2009","unstructured":"Hirschhorn, P.S., Hoffstein, J., Howgrave-Graham, N., Whyte, W.: Choosing NTRUEncrypt parameters in light of combined lattice reduction and MITM approaches. In: Abdalla, M., Pointcheval, D., Fouque, P.-A., Vergnaud, D. (eds.) ACNS 2009. LNCS, vol. 5536, pp. 437\u2013455. Springer, Heidelberg (2009). https:\/\/doi.org\/10.1007\/978-3-642-01957-9_27"},{"key":"1_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-319-52153-4_1","volume-title":"Topics in Cryptology \u2013 CT-RSA 2017","author":"J Hoffstein","year":"2017","unstructured":"Hoffstein, J., Pipher, J., Schanck, J.M., Silverman, J.H., Whyte, W., Zhang, Z.: Choosing parameters for NTRUEncrypt. In: Handschuh, H. (ed.) CT-RSA 2017. LNCS, vol. 10159, pp. 3\u201318. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-52153-4_1"},{"key":"1_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-77993-5","volume-title":"An Introduction to Mathematical Cryptography","author":"J Hoffstein","year":"2008","unstructured":"Hoffstein, J., Pipher, J., Silverman, J.: An Introduction to Mathematical Cryptography, 1st edn. Springer, New York (2008). https:\/\/doi.org\/10.1007\/978-0-387-77993-5","edition":"1"},{"key":"1_CR12","series-title":"Lecture Notes in Computer Science","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.) ANTS 1998. LNCS, vol. 1423, pp. 267\u2013288. Springer, Heidelberg (1998). https:\/\/doi.org\/10.1007\/BFb0054868"},{"key":"1_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1007\/978-3-540-30574-3_10","volume-title":"Topics in Cryptology \u2013 CT-RSA 2005","author":"N Howgrave-Graham","year":"2005","unstructured":"Howgrave-Graham, N., Silverman, J.H., Whyte, W.: Choosing parameter sets for NTRUEncrypt with NAEP and SVES-3. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 118\u2013135. Springer, Heidelberg (2005). https:\/\/doi.org\/10.1007\/978-3-540-30574-3_10"},{"key":"1_CR14","unstructured":"Hurley, T.: Group rings and rings of matrices. Int. J. Pure Appl. Math. 31, 319\u2013335 (2006). https:\/\/www.researchgate.net\/publication\/228928727_Group_rings_and_rings_of_matrices"},{"issue":"1","key":"1_CR15","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1007\/s10623-013-9850-3","volume":"74","author":"K Jarvis","year":"2015","unstructured":"Jarvis, K., Nevins, M.: ETRU: NTRU over the Eisenstein integers. Des. Codes Crypt. 74(1), 219\u2013242 (2015). https:\/\/doi.org\/10.1007\/s10623-013-9850-3","journal-title":"Des. Codes Crypt."},{"key":"1_CR16","unstructured":"Joseph, S.H.: Almost inverses and fast NTRU key creation. NTRU cryptosystems Technical Report (1999). https:\/\/ntru.org\/f\/tr\/tr014v1.pdf"},{"key":"1_CR17","doi-asserted-by":"crossref","unstructured":"Kim, J., Lee, C.: A polynomial time algorithm for breaking NTRU encryption with multiple keys. Des. Codes Cryptogr. 1\u201311 (2023)","DOI":"10.1007\/s10623-023-01233-5"},{"key":"1_CR18","unstructured":"Lyubashevsky, V., et al.: Crystals-dilithium: algorithm specifications and supporting documentation. NIST PQC Round (2020). https:\/\/csrc.nist.gov\/Projects\/post-quantum-cryptography\/post-quantum-cryptography-standardization\/round-3-submissions"},{"key":"1_CR19","unstructured":"Malekian, E., Zakerolhosseini, A., Mashatan, A.: QTRU: a lattice attack resistant version of NTRU. Cryptology ePrint Archive (2009). https:\/\/eprint.iacr.org\/2009\/386"},{"key":"1_CR20","doi-asserted-by":"publisher","unstructured":"Milies, C., Sehgal, S.: An Introduction to Group Rings (2002). https:\/\/doi.org\/10.1007\/978-94-010-0405-3","DOI":"10.1007\/978-94-010-0405-3"},{"key":"1_CR21","doi-asserted-by":"crossref","unstructured":"Peikert, C., et al.: A decade of lattice cryptography. Found. Trends\u00ae Theor. Comput. Sci. 10(4), 283\u2013424 (2016)","DOI":"10.1561\/0400000074"},{"key":"1_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1007\/978-3-642-20465-4_4","volume-title":"Advances in Cryptology \u2013 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.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 27\u201347. Springer, Heidelberg (2011). https:\/\/doi.org\/10.1007\/978-3-642-20465-4_4"},{"key":"1_CR23","unstructured":"Truman, K.R.: Analysis and extension of non-commutative NTRU, Ph.D. thesis, University of Maryland, College Park (2007)"},{"key":"1_CR24","unstructured":"Yasuda, T., Dahan, X., Sakurai, K.: Characterizing NTRU-variants using group ring and evaluating their lattice security. IACR Cryptology ePrint Archive 1170 (2015). https:\/\/eprint.iacr.org\/2015\/1170"}],"container-title":["Lecture Notes in Computer Science","Security, Privacy, and Applied Cryptography Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-51583-5_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,4]],"date-time":"2024-01-04T18:04:45Z","timestamp":1704391485000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-51583-5_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031515828","9783031515835"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-51583-5_1","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"5 January 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SPACE","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Security, Privacy, and Applied Cryptography Engineering","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Roorkee","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":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14 December 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 December 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"space2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/iitr.ac.in\/space2023\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"45","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"14","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"31% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2.5","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}