{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T18:56:16Z","timestamp":1743015376900,"version":"3.40.3"},"publisher-location":"Cham","reference-count":28,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319598789"},{"type":"electronic","value":"9783319598796"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-59879-6_13","type":"book-chapter","created":{"date-parts":[[2017,6,3]],"date-time":"2017-06-03T16:28:34Z","timestamp":1496507314000},"page":"224-240","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["MQ Signatures for PKI"],"prefix":"10.1007","author":[{"given":"Alan","family":"Szepieniec","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ward","family":"Beullens","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bart","family":"Preneel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,6,4]]},"reference":[{"key":"13_CR1","unstructured":"Alkim, E., Ducas, L., P\u00f6ppelmann, T., Schwabe, P.: Post-quantum key exchange - a new hope. In: Holz, T., Savage, S. (eds.) 25th USENIX Security Symposium, USENIX Security 2016, Austin, TX, USA, 10\u201312 August 2016, pp. 327\u2013343. USENIX Association (2016). https:\/\/www.usenix.org\/conference\/usenixsecurity16\/technical-sessions\/presentation\/alkim"},{"key":"13_CR2","unstructured":"Bernstein, D.J., Buchmann, J., Ding, J., Goubin, L., Lange, T., Nguyen, P., Okamoto, T., Salvail, L., Silverberg, A., Silverman, J., Stam, M., Wolf, C. (eds.): Proceedings of International Workshop on Post-Quantum Cryptography, PQCrypto 2006, Leuven, Belgium, 23\u201326 May 2006 (2006). http:\/\/postquantum.cr.yp.to\/"},{"key":"13_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1007\/978-3-662-46800-5_15","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2015","author":"DJ Bernstein","year":"2015","unstructured":"Bernstein, D.J., et al.: SPHINCS: practical stateless hash-based signatures. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9056, pp. 368\u2013397. Springer, Heidelberg (2015). http:\/\/dx.doi.org\/10.1007\/978-3-662-46800-5_15"},{"issue":"3","key":"13_CR4","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1515\/JMC.2009.009","volume":"3","author":"L Bettale","year":"2009","unstructured":"Bettale, L., Faug\u00e8re, J., Perret, L.: Hybrid approach for solving multivariate systems over finite fields. J. Math. Cryptol. 3(3), 177\u2013197 (2009). http:\/\/dx.doi.org\/10.1515\/JMC.2009.009","journal-title":"J. Math. Cryptol."},{"key":"13_CR5","unstructured":"Bettale, L., Faug\u00e8re, J., Perret, L.: Solving polynomial systems over finite fields: improved analysis of the hybrid approach. In: van der Hoeven, J., van Hoeij, M. (eds.) International Symposium on Symbolic and Algebraic Computation, ISSAC 2012, Grenoble, France, 22\u201325 July 2012, pp. 67\u201374. ACM (2012). http:\/\/doi.acm.org\/10.1145\/2442829.2442843"},{"key":"13_CR6","unstructured":"Brassard, G., Hoyer, P., Mosca, M., Tapp, A.: Quantum amplitude amplification and estimation (2000). arXiv preprint quant-ph\/0005055 https:\/\/arxiv.org\/abs\/quant-ph\/0005055"},{"key":"13_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/978-3-662-53890-6_5","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2016","author":"M-S Chen","year":"2016","unstructured":"Chen, M.-S., H\u00fclsing, A., Rijneveld, J., Samardjiska, S., Schwabe, P.: From 5-pass $$\\cal{MQ}$$-based identification to $$\\cal{MQ}$$-based signatures. In: Cheon, J.H., Takagi, T. (eds.) ASIACRYPT 2016. LNCS, vol. 10032, pp. 135\u2013165. Springer, Heidelberg (2016). http:\/\/dx.doi.org\/10.1007\/978-3-662-53890-6_5"},{"key":"13_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/3-540-45682-1_10","volume-title":"Advances in Cryptology \u2014 ASIACRYPT 2001","author":"NT Courtois","year":"2001","unstructured":"Courtois, N.T., Finiasz, M., Sendrier, N.: How to achieve a McEliece-based digital signature scheme. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 157\u2013174. Springer, Heidelberg (2001). http:\/\/dx.doi.org\/10.1007\/3-540-45682-1_10"},{"key":"13_CR9","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). http:\/\/dx.doi.org\/10.1007\/3-540-45539-6_27"},{"key":"13_CR10","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). http:\/\/dx.doi.org\/10.1007\/978-3-642-40041-4_3"},{"issue":"1","key":"13_CR11","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/S0022-4049(99)00005-5","volume":"139","author":"JC Faug\u00e8re","year":"1999","unstructured":"Faug\u00e8re, J.C.: A new efficient algorithm for computing Gr\u00f6bner bases (F 4). J. Pure Appl. Algebra 139(1), 61\u201388 (1999)","journal-title":"J. Pure Appl. Algebra"},{"issue":"2","key":"13_CR12","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1137\/0217017","volume":"17","author":"S Goldwasser","year":"1988","unstructured":"Goldwasser, S., Micali, S., Rivest, R.L.: A digital signature scheme secure against adaptive chosen-message attacks. SIAM J. Comput. 17(2), 281\u2013308 (1988). http:\/\/dx.doi.org\/10.1137\/0217017","journal-title":"SIAM J. Comput."},{"key":"13_CR13","doi-asserted-by":"crossref","unstructured":"Grover, L.K.: A fast quantum mechanical algorithm for database search. In: Miller, G.L. (ed.) Proceedings of the Twenty-Eighth Annual ACM Symposium on the Theory of Computing, Philadelphia, Pennsylvania, USA, 22\u201324 May 1996, pp. 212\u2013219. ACM (1996). http:\/\/doi.acm.org\/10.1145\/237814.237866","DOI":"10.1145\/237814.237866"},{"key":"13_CR14","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). http:\/\/dx.doi.org\/10.1007\/3-540-48910-X_15"},{"key":"13_CR15","unstructured":"Braithwaite, M.: Google: Experimenting with post-quantum cryptography (2016). https:\/\/security.googleblog.com\/2016\/07\/experimenting-with-post-quantum.html"},{"key":"13_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-68339-9","volume-title":"Advances in Cryptology \u2014 EUROCRYPT \u201996","year":"1996","unstructured":"Maurer, U.M. (ed.): EUROCRYPT 1996. LNCS, vol. 1070. Springer, Heidelberg (1996). doi:10.1007\/3-540-68339-9"},{"key":"13_CR17","unstructured":"http:\/\/csrc.nist.gov\/groups\/ST\/toolkit\/"},{"key":"13_CR18","unstructured":"National Institute for Standards and Technology (NIST): Post-quantum crypto standardization (2016). http:\/\/csrc.nist.gov\/groups\/ST\/post-quantum-crypto\/"},{"key":"13_CR19","doi-asserted-by":"crossref","unstructured":"Patarin, J.: Hidden fields equations (HFE) and isomorphisms of polynomials (IP): two new families of asymmetric algorithms. In: Maurer [16], pp. 33\u201348. http:\/\/dx.doi.org\/10.1007\/3-540-68339-9_4","DOI":"10.1007\/3-540-68339-9_4"},{"key":"13_CR20","unstructured":"Petzoldt, A.: Selecting and reducing key sizes for multivariate cryptography, July 2013. http:\/\/tuprints.ulb.tu-darmstadt.de\/3523\/"},{"key":"13_CR21","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). http:\/\/dx.doi.org\/10.1007\/978-3-662-48797-6_14"},{"key":"13_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1007\/978-3-642-23951-9_31","volume-title":"Cryptographic Hardware and Embedded Systems \u2013 CHES 2011","author":"A Petzoldt","year":"2011","unstructured":"Petzoldt, A., Thomae, E., Bulygin, S., Wolf, C.: Small public keys and fast verification for $$\\cal{M}$$ultivariate $$\\cal{Q}$$uadratic public key systems. In: Preneel, B., Takagi, T. (eds.) CHES 2011. LNCS, vol. 6917, pp. 475\u2013490. Springer, Heidelberg (2011). http:\/\/dx.doi.org\/10.1007\/978-3-642-23951-9_31"},{"key":"13_CR23","series-title":"Lecture Notes in Computer Science","volume-title":"Advances in Cryptology \u2013 CRYPTO 2011","year":"2011","unstructured":"Rogaway, P. (ed.): CRYPTO 2011. LNCS, vol. 6841. Springer, Heidelberg (2011). http:\/\/dx.doi.org\/10.1007\/978-3-642-22792-9"},{"key":"13_CR24","doi-asserted-by":"crossref","unstructured":"Sakumoto, K., Shirai, T., Hiwatari, H.: Public-key identification schemes based on multivariate quadratic polynomials. In: Rogaway [23], pp. 706\u2013723. http:\/\/dx.doi.org\/10.1007\/978-3-642-22792-9_40","DOI":"10.1007\/978-3-642-22792-9_40"},{"key":"13_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1007\/3-540-58691-1_68","volume-title":"Algorithmic Number Theory","author":"PW Shor","year":"1994","unstructured":"Shor, P.W.: Polynomial time algorithms for discrete logarithms and factoring on a quantum computer. In: Adleman, L.M., Huang, M.-D. (eds.) ANTS 1994. LNCS, vol. 877, pp. 289\u2013289. Springer, Heidelberg (1994). http:\/\/dx.doi.org\/10.1007\/3-540-58691-1_68"},{"key":"13_CR26","unstructured":"Shoup, V.: Sequences of games: a tool for taming complexity in security proofs. IACR Cryptology ePrint Archive 2004\/332 (2004). http:\/\/eprint.iacr.org\/2004\/332"},{"key":"13_CR27","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1007\/3-540-48329-2_2","volume-title":"Advances in Cryptology \u2014 CRYPTO\u2019 93","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. 773, pp. 13\u201321. Springer, Heidelberg (1994). http:\/\/dx.doi.org\/10.1007\/3-540-48329-2_2"},{"key":"13_CR28","unstructured":"PQCRYPTO ICT-645622 (2015). http:\/\/pqcrypto.eu.org\/"}],"container-title":["Lecture Notes in Computer Science","Post-Quantum Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-59879-6_13","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,13]],"date-time":"2024-03-13T15:29:07Z","timestamp":1710343747000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-59879-6_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319598789","9783319598796"],"references-count":28,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-59879-6_13","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"4 June 2017","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 Workshop on Post-Quantum Cryptography","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Utrecht","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"The Netherlands","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2017","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"26 June 2017","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 June 2017","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"pqcrypto2017","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/2017.pqcrypto.org\/conference\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}