{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T18:47:18Z","timestamp":1760986038662,"version":"3.40.3"},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030812928"},{"type":"electronic","value":"9783030812935"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"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":[[2021]]},"DOI":"10.1007\/978-3-030-81293-5_6","type":"book-chapter","created":{"date-parts":[[2021,7,14]],"date-time":"2021-07-14T23:30:59Z","timestamp":1626305459000},"page":"98-113","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["On the Effect of Projection on Rank Attacks in Multivariate Cryptography"],"prefix":"10.1007","author":[{"given":"Morten","family":"\u00d8ygarden","sequence":"first","affiliation":[]},{"given":"Daniel","family":"Smith-Tone","sequence":"additional","affiliation":[]},{"given":"Javier","family":"Verbel","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,7,15]]},"reference":[{"issue":"111","key":"6_CR1","doi-asserted-by":"publisher","first-page":"713","DOI":"10.1090\/S0025-5718-1970-0276200-X","volume":"24","author":"ER Berlekamp","year":"1970","unstructured":"Berlekamp, E.R.: Factoring polynomials over large finite fields. Math. Comput. 24(111), 713\u2013735 (1970)","journal-title":"Math. Comput."},{"issue":"1","key":"6_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10623-012-9617-2","volume":"69","author":"L Bettale","year":"2013","unstructured":"Bettale, L., Faug\u00e8re, J.-C., Perret, L.: Cryptanalysis of HFE, multi-HFE and variants for odd and even characteristic. Des. Codes Cryptogr. 69(1), 1\u201352 (2013)","journal-title":"Des. Codes Cryptogr."},{"unstructured":"Beullens, W.: Improved Cryptanalysis of UOV and Rainbow. Cryptology ePrint Archive, Report 2020\/1343 (2020). https:\/\/eprint.iacr.org\/2020\/1343","key":"6_CR3"},{"issue":"3\u20134","key":"6_CR4","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1006\/jsco.1996.0125","volume":"24","author":"W Bosma","year":"1997","unstructured":"Bosma, W., Cannon, J., Playoust, C.: The magma algebra system i: the user language. J. Symb. Comput. 24(3\u20134), 235\u2013265 (1997)","journal-title":"J. Symb. Comput."},{"key":"6_CR5","doi-asserted-by":"publisher","first-page":"693","DOI":"10.1007\/BF01178683","volume":"28","author":"D Cantor","year":"1991","unstructured":"Cantor, D., Kaltofen, E.: On fast multiplication of polynomials over arbitrary algebras. Acta Informatica 28, 693\u2013701 (1991)","journal-title":"Acta Informatica"},{"key":"6_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1007\/978-3-319-59879-6_14","volume-title":"Post-Quantum Cryptography","author":"R Cartor","year":"2017","unstructured":"Cartor, R., Smith-Tone, D.: An updated security analysis of PFLASH. In: Lange, T., Takagi, T. (eds.) PQCrypto 2017. LNCS, vol. 10346, pp. 241\u2013254. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-59879-6_14"},{"doi-asserted-by":"publisher","unstructured":"Cartor, R., Smith-Tone, D.: EFLASH: a new multivariate encryption scheme. In: Cid, C., Jacobson, M.J., Jr. (eds.) SAC 2018. LNCS, vol. 11349, pp. 281\u2013299. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-030-10970-7_13","key":"6_CR7","DOI":"10.1007\/978-3-030-10970-7_13"},{"unstructured":"Casanova, A., Faug\u00e8re, J.-C., Macario-Rat, G., Patarin, J., Perret, L., Ryckeghem, J.: GeMSS: a great multivariate short signature (Round 3 submission). Technical report, National Institute of Standards and Technology (2020). https:\/\/csrc.nist.gov\/projects\/post-quantum-cryptography\/round-3-submissions","key":"6_CR8"},{"unstructured":"Chen, M.-S., Yang, B.-Y., Smith-Tone, D.: PFLASH-secure asymmetric signatures on smart cards. In: Lightweight Cryptography Workshop (2015)","key":"6_CR9"},{"key":"6_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1007\/978-3-319-11659-4_4","volume-title":"Post-Quantum Cryptography","author":"T Daniels","year":"2014","unstructured":"Daniels, T., Smith-Tone, D.: Differential properties of the HFE cryptosystem. In: Mosca, M. (ed.) PQCrypto 2014. LNCS, vol. 8772, pp. 59\u201375. Springer, Cham (2014). https:\/\/doi.org\/10.1007\/978-3-319-11659-4_4"},{"unstructured":"Ding, J., Chen, M.-S., Petzoldt, A., Schmidt, D., Yang, B.-Y.: GUI. Technical report, National Institute of Standards and Technology (2017). https:\/\/csrc.nist.gov\/Projects\/post-quantum-cryptography\/Round-1-Submissions","key":"6_CR11"},{"unstructured":"Ding, J., et al.: Rainbow (round 3 submission). Technical report, National Institute of Standards and Technology (2020). https:\/\/csrc.nist.gov\/Projects\/post-quantum-cryptography\/round-3-submissions","key":"6_CR12"},{"key":"6_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"691","DOI":"10.1007\/978-3-540-70583-3_56","volume-title":"Automata, Languages and Programming","author":"J Ding","year":"2008","unstructured":"Ding, J., Dubois, V., Yang, B.-Y., Chen, O.C.-H., Cheng, C.-M.: Could SFLASH be Repaired? In: Aceto, L., et al. (eds.) ICALP 2008. LNCS, vol. 5126, pp. 691\u2013701. Springer, Heidelberg (2008). https:\/\/doi.org\/10.1007\/978-3-540-70583-3_56"},{"key":"6_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-540-74143-5_1","volume-title":"Advances in Cryptology - CRYPTO 2007","author":"V Dubois","year":"2007","unstructured":"Dubois, V., Fouque, P.-A., Shamir, A., Stern, J.: Practical cryptanalysis of SFLASH. In: Menezes, A. (ed.) CRYPTO 2007. LNCS, vol. 4622, pp. 1\u201312. Springer, Heidelberg (2007). https:\/\/doi.org\/10.1007\/978-3-540-74143-5_1"},{"issue":"1\u20133","key":"6_CR15","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/S0022-4049(99)00005-5","volume":"139","author":"J-C Faug\u00e8re","year":"1999","unstructured":"Faug\u00e8re, J.-C.: A new efficient algorithm for computing Gr\u00f6bner bases (F4). J. Pure and Appl. Algebra 139(1\u20133), 61\u201388 (1999)","journal-title":"J. Pure and Appl. Algebra"},{"doi-asserted-by":"crossref","unstructured":"Le Gall, F.: Powers of tensors and fast matrix multiplication. In: Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation, pp. 296\u2013303 (2014)","key":"6_CR16","DOI":"10.1145\/2608628.2608664"},{"key":"6_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"280","DOI":"10.1007\/978-3-540-85174-5_16","volume-title":"Advances in Cryptology \u2013 CRYPTO 2008","author":"J-C Faug\u00e8re","year":"2008","unstructured":"Faug\u00e8re, J.-C., Levy-dit-Vehel, F., Perret, L.: Cryptanalysis of MinRank. In: Wagner, D. (ed.) CRYPTO 2008. LNCS, vol. 5157, pp. 280\u2013296. Springer, Heidelberg (2008). https:\/\/doi.org\/10.1007\/978-3-540-85174-5_16"},{"key":"6_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1007\/3-540-45961-8_39","volume-title":"Advances in Cryptology \u2014 EUROCRYPT \u201988","author":"T Matsumoto","year":"1988","unstructured":"Matsumoto, T., Imai, H.: Public quadratic polynomial-tuples for efficient signature-verification and message-encryption. In: Barstow, D., et al. (eds.) EUROCRYPT 1988. LNCS, vol. 330, pp. 419\u2013453. Springer, Heidelberg (1988). https:\/\/doi.org\/10.1007\/3-540-45961-8_39"},{"key":"6_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1007\/978-3-030-40186-3_5","volume-title":"Topics in Cryptology \u2013 CT-RSA 2020","author":"M \u00d8ygarden","year":"2020","unstructured":"\u00d8ygarden, M., Felke, P., Raddum, H., Cid, C.: Cryptanalysis of the multivariate encryption scheme EFLASH. In: Jarecki, S. (ed.) CT-RSA 2020. LNCS, vol. 12006, pp. 85\u2013105. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-40186-3_5"},{"key":"6_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"248","DOI":"10.1007\/3-540-44750-4_20","volume-title":"Advances in Cryptology \u2014 CRYPT0\u2019 95","author":"J Patarin","year":"1995","unstructured":"Patarin, J.: Cryptanalysis of the Matsumoto and Imai public key scheme of Eurocrypt\u201988. In: Coppersmith, D. (ed.) CRYPTO 1995. LNCS, vol. 963, pp. 248\u2013261. Springer, Heidelberg (1995). https:\/\/doi.org\/10.1007\/3-540-44750-4_20"},{"key":"6_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1007\/3-540-68339-9_4","volume-title":"Advances in Cryptology \u2014 EUROCRYPT \u201996","author":"J Patarin","year":"1996","unstructured":"Patarin, J.: Hidden Fields Equations (HFE) and Isomorphisms of Polynomials (IP): two new families of asymmetric algorithms. In: Maurer, U. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 33\u201348. Springer, Heidelberg (1996). https:\/\/doi.org\/10.1007\/3-540-68339-9_4"},{"key":"6_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-12929-2_1","volume-title":"Post-Quantum Cryptography","author":"D Smith-Tone","year":"2010","unstructured":"Smith-Tone, D.: Properties of the discrete differential with cryptographic applications. In: Sendrier, N. (ed.) PQCrypto 2010. LNCS, vol. 6061, pp. 1\u201312. Springer, Heidelberg (2010). https:\/\/doi.org\/10.1007\/978-3-642-12929-2_1"},{"issue":"4","key":"6_CR23","doi-asserted-by":"publisher","first-page":"354","DOI":"10.1007\/BF02165411","volume":"13","author":"V Strassen","year":"1969","unstructured":"Strassen, V.: Gaussian elimination is not optimal. Numerische mathematik 13(4), 354\u2013356 (1969)","journal-title":"Numerische mathematik"},{"unstructured":"Tao, C., Petzoldt, A., Ding, J.: Improved Key Recovery of the HFEv- Signature Scheme. Cryptology ePrint Archive, Report 2020\/1424 (2020). https:\/\/eprint.iacr.org\/2020\/1424","key":"6_CR24"},{"key":"6_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"272","DOI":"10.1007\/978-3-319-59879-6_16","volume-title":"Post-Quantum Cryptography","author":"J Vates","year":"2017","unstructured":"Vates, J., Smith-Tone, D.: Key recovery attack for all parameters of HFE-. In: Lange, T., Takagi, T. (eds.) PQCrypto 2017. LNCS, vol. 10346, pp. 272\u2013288. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-59879-6_16"},{"unstructured":"\u00d8ygarden, M., Felke, P., Raddum, H.: Analysis of Multivariate Encryption Schemes: Application to Dob. Cryptology ePrint Archive, Report 2020\/1442 (2020). https:\/\/eprint.iacr.org\/2020\/1442","key":"6_CR26"}],"container-title":["Lecture Notes in Computer Science","Post-Quantum Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-81293-5_6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,22]],"date-time":"2022-07-22T19:45:53Z","timestamp":1658519153000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-81293-5_6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030812928","9783030812935"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-81293-5_6","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"15 July 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"PQCrypto","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Post-Quantum Cryptography","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Daejeon","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Korea (Republic of)","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20 July 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22 July 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"pqcrypto2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/pqcrypto2021.kr\/","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":"65","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":"25","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":"38% - 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":"3.2","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":"2","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)"}}]}}