{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T21:51:44Z","timestamp":1774907504126,"version":"3.50.1"},"publisher-location":"Cham","reference-count":32,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030752446","type":"print"},{"value":"9783030752453","type":"electronic"}],"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.springernature.com\/gp\/researchers\/text-and-data-mining"},{"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.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-75245-3_10","type":"book-chapter","created":{"date-parts":[[2021,4,30]],"date-time":"2021-04-30T15:04:51Z","timestamp":1619795091000},"page":"242-265","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Multivariate Public Key Cryptosystem from Sidon Spaces"],"prefix":"10.1007","author":[{"given":"Netanel","family":"Raviv","sequence":"first","affiliation":[]},{"given":"Ben","family":"Langton","sequence":"additional","affiliation":[]},{"given":"Itzhak","family":"Tamo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,5,1]]},"reference":[{"key":"10_CR1","unstructured":"Raviv, N., Langton B., Tamo I.,: The Sidon Cryptosystem (2021). https:\/\/github.com\/b-langton\/Sidon-Cryptosystem"},{"key":"10_CR2","unstructured":"Bachoc, C., Serra, O., Z\u00e9mor, G.: An analogue of Vosper\u2019s theorem for extension fields. In: arXiv:1501.00602 [math.NT] (2015)"},{"key":"10_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"507","DOI":"10.1007\/978-3-030-64837-4_17","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2020","author":"M Bardet","year":"2020","unstructured":"Bardet, M., et al.: Improvements of algebraic attacks for solving the rank decoding and MinRank problems. In: Moriai, S., Wang, H. (eds.) ASIACRYPT 2020. LNCS, vol. 12491, pp. 507\u2013536. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-64837-4_17"},{"issue":"2","key":"10_CR4","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1007\/s10623-005-4017-5","volume":"39","author":"P Barreto","year":"2006","unstructured":"Barreto, P., Voloch, J.F.: Efficient computation of roots in finite fields. Des. Codes Crypt. 39(2), 275\u2013280 (2006)","journal-title":"Des. Codes Crypt."},{"key":"10_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"392","DOI":"10.1007\/3-540-45539-6_27","volume-title":"Advances in Cryptology \u2014 EUROCRYPT 2000","author":"N Courtois","year":"2000","unstructured":"Courtois, N., Klimov, A., Patarin, J., Shamir, A.: Efficient algorithms for solving overdefined systems of multivariate polynomial equations. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 392\u2013407. Springer, Heidelberg (2000). https:\/\/doi.org\/10.1007\/3-540-45539-6_27"},{"key":"10_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1007\/978-3-319-11659-4_3","volume-title":"Post-Quantum Cryptography","author":"C-M Cheng","year":"2014","unstructured":"Cheng, C.-M., Hashimoto, Y., Miura, H., Takagi, T.: A polynomial-time algorithm for solving a class of underdetermined multivariate quadratic equations over fields of odd characteristics. In: Mosca, M. (ed.) PQCrypto 2014. LNCS, vol. 8772, pp. 40\u201358. Springer, Cham (2014). https:\/\/doi.org\/10.1007\/978-3-319-11659-4_3"},{"key":"10_CR7","unstructured":"Ding, J., Kleinjung, T.: Degree of regularity for HFE-. IACR Cryptology ePrint Archive, p. 570 (2011)"},{"key":"10_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1007\/11496137_12","volume-title":"Applied Cryptography and Network Security","author":"J Ding","year":"2005","unstructured":"Ding, J., Schmidt, D.: Rainbow, a new multivariable polynomial signature scheme. In: Ioannidis, J., Keromytis, A., Yung, M. (eds.) ACNS 2005. LNCS, vol. 3531, pp. 164\u2013175. Springer, Heidelberg (2005). https:\/\/doi.org\/10.1007\/11496137_12"},{"key":"10_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1007\/978-3-642-15582-6_17","volume-title":"Mathematical Software \u2013 ICMS 2010","author":"J-C Faug\u00e8re","year":"2010","unstructured":"Faug\u00e8re, J.-C.: FGb: a library for computing gr\u00f6bner bases. In: Fukuda, K., Hoeven, J., Joswig, M., Takayama, N. (eds.) ICMS 2010. LNCS, vol. 6327, pp. 84\u201387. Springer, Heidelberg (2010). https:\/\/doi.org\/10.1007\/978-3-642-15582-6_17"},{"key":"10_CR10","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"},{"issue":"4","key":"10_CR11","doi-asserted-by":"publisher","first-page":"406","DOI":"10.1016\/j.jsc.2010.10.014","volume":"46","author":"JC Faug\u00e8re","year":"2011","unstructured":"Faug\u00e8re, J.C., El-Din, M.S., Spaenlehauer, P.J.: Gr\u00f6bner bases of bihomogeneous ideals generated by polynomials of bidegree $$(1, 1)$$: algorithms and complexity. J. Symbolic Comput. 46(4), 406\u2013437 (2011)","journal-title":"J. Symbolic Comput."},{"key":"10_CR12","doi-asserted-by":"crossref","unstructured":"Faug\u00e8re, J.C., El-Din, M.S., Spaenlehauer, P.J.: Computing loci of rank defects of linear matrices using Gr\u00f6bner bases and applications to cryptology. In: Proceedings of the International Symposium on Symbolic and Algebraic Computation, pp. 257\u2013264 (2010)","DOI":"10.1145\/1837934.1837984"},{"key":"10_CR13","unstructured":"Gu, C.: Cryptanalysis of Simple Matrix Scheme for Encryption. IACR Cryptology ePrint Archive, p. 1075 (2016)"},{"key":"10_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1007\/3-540-44448-3_4","volume-title":"Advances in Cryptology \u2014 ASIACRYPT 2000","author":"L Goubin","year":"2000","unstructured":"Goubin, L., Courtois, N.T.: Cryptanalysis of the TTM cryptosystem. In: Okamoto, T. (ed.) ASIACRYPT 2000. LNCS, vol. 1976, pp. 44\u201357. Springer, Heidelberg (2000). https:\/\/doi.org\/10.1007\/3-540-44448-3_4"},{"key":"10_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/3-540-48405-1_2","volume-title":"Advances in Cryptology \u2014 CRYPTO\u2019 99","author":"A Kipnis","year":"1999","unstructured":"Kipnis, A., Shamir, A.: Cryptanalysis of the HFE public key cryptosystem by relinearization. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 19\u201330. Springer, Heidelberg (1999). https:\/\/doi.org\/10.1007\/3-540-48405-1_2"},{"key":"10_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1007\/3-540-48910-X_15","volume-title":"Advances in Cryptology \u2014 EUROCRYPT \u201999","author":"A Kipnis","year":"1999","unstructured":"Kipnis, A., Patarin, J., Goubin, L.: Unbalanced oil and vinegar signature schemes. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 206\u2013222. Springer, Heidelberg (1999). https:\/\/doi.org\/10.1007\/3-540-48910-X_15"},{"key":"10_CR17","doi-asserted-by":"crossref","unstructured":"Makarim, R.H., tevens M.: M4GB: an efficient Gr\u00f6bner-basis algorithm. In: Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, pp. 293\u2013300 (2017)","DOI":"10.1145\/3087604.3087638"},{"key":"10_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1007\/978-3-642-38616-9_8","volume-title":"Post-Quantum Cryptography","author":"H Miura","year":"2013","unstructured":"Miura, H., Hashimoto, Y., Takagi, T.: Extended algorithm for solving underdefined multivariate quadratic equations. In: Gaborit, P. (ed.) PQCrypto 2013. LNCS, vol. 7932, pp. 118\u2013135. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-38616-9_8"},{"key":"10_CR19","unstructured":"Moh, T.T.: A fast public key system with signature and master key functions. In: Proceedings of CrypTEC 1999, International Workshop on Cryptographic Techniques and E-Commerce, pp. 63\u201369. Hong-Kong City University Press (1999)"},{"key":"10_CR20","doi-asserted-by":"crossref","unstructured":"Niu, Y., Qin, Y., Yansheng, W.: Several kinds of large cyclic subspace codes via Sidon spaces. Discrete Math. 343(5), 111788 (2020)","DOI":"10.1016\/j.disc.2019.111788"},{"key":"10_CR21","doi-asserted-by":"crossref","unstructured":"O\u2019Bryant, K.: A complete annotated bibliography of work related to Sidon sequences. In: arXiv preprint math\/0407117 (2004)","DOI":"10.37236\/32"},{"key":"10_CR22","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":"10_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1007\/978-3-319-29360-8_13","volume-title":"Post-Quantum Cryptography","author":"R Perlner","year":"2016","unstructured":"Perlner, R., Smith-Tone, D.: Security analysis and key modification for ZHFE. In: Takagi, T. (ed.) PQCrypto 2016. LNCS, vol. 9606, pp. 197\u2013212. Springer, Cham (2016). https:\/\/doi.org\/10.1007\/978-3-319-29360-8_13"},{"key":"10_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1007\/978-3-662-48797-6_14","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2015","author":"A Petzoldt","year":"2015","unstructured":"Petzoldt, A., Chen, M.-S., Yang, B.-Y., Tao, C., Ding, J.: Design principles for HFEv- based multivariate signature schemes. In: Iwata, T., Cheon, J.H. (eds.) ASIACRYPT 2015. LNCS, vol. 9452, pp. 311\u2013334. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-48797-6_14"},{"key":"10_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/978-3-319-11659-4_14","volume-title":"Post-Quantum Cryptography","author":"J Porras","year":"2014","unstructured":"Porras, J., Baena, J., Ding, J.: ZHFE, a new multivariate public key encryption scheme. In: Mosca, M. (ed.) PQCrypto 2014. LNCS, vol. 8772, pp. 229\u2013245. Springer, Cham (2014). https:\/\/doi.org\/10.1007\/978-3-319-11659-4_14"},{"issue":"6","key":"10_CR26","doi-asserted-by":"publisher","first-page":"4412","DOI":"10.1109\/TIT.2017.2766178","volume":"64","author":"RM Roth","year":"2017","unstructured":"Roth, R.M., Raviv, N., Tamo, I.: Construction of Sidon spaces with applications to coding. IEEE Trans. Inf. Th. 64(6), 4412\u20134422 (2017)","journal-title":"IEEE Trans. Inf. Th."},{"key":"10_CR27","unstructured":"Schulman, L.J.: Cryptography from tensor problems. In: IACR Cryptol. ePrint Arch. (2012)"},{"key":"10_CR28","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1007\/978-3-642-38616-9_16","volume-title":"Post-Quantum Cryptography","author":"C Tao","year":"2013","unstructured":"Tao, C., Diene, A., Tang, S., Ding, J.: Simple matrix scheme for encryption. In: Gaborit, P. (ed.) PQCrypto 2013. LNCS, vol. 7932, pp. 231\u2013242. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-38616-9_16"},{"key":"10_CR29","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"156","DOI":"10.1007\/978-3-642-30057-8_10","volume-title":"Public Key Cryptography \u2013 PKC 2012","author":"E Thomae","year":"2012","unstructured":"Thomae, E., Wolf, C.: Solving underdetermined systems of multivariate quadratic equations revisited. In: Fischlin, M., Buchmann, J., Manulis, M. (eds.) PKC 2012. LNCS, vol. 7293, pp. 156\u2013171. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-30057-8_10"},{"key":"10_CR30","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"},{"key":"10_CR31","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1007\/978-3-030-25510-7_10","volume-title":"Post-Quantum Cryptography","author":"J Verbel","year":"2019","unstructured":"Verbel, J., Baena, J., Cabarcas, D., Perlner, R., Smith-Tone, D.: On the complexity of \u201cSuperdetermined\u201d minrank instances. In: Ding, J., Steinwandt, R. (eds.) PQCrypto 2019. LNCS, vol. 11505, pp. 167\u2013186. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-25510-7_10"},{"key":"10_CR32","unstructured":"Wageringel M.: A Sage interface for FGb (2020). https:\/\/github.com\/mwageringel\/fgb_sage"}],"container-title":["Lecture Notes in Computer Science","Public-Key Cryptography \u2013 PKC 2021"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-75245-3_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,30]],"date-time":"2024-04-30T00:06:10Z","timestamp":1714435570000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-75245-3_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030752446","9783030752453"],"references-count":32,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-75245-3_10","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"1 May 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"PKC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"IACR International Conference on Public-Key Cryptography","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"10 May 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 May 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"pkc2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/pkc.iacr.org\/2021\/","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":"Web-Submission-and-Review","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"156","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":"52","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":"33% - 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":"3,5","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":"15","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)"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}