{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,12]],"date-time":"2026-07-12T02:33:05Z","timestamp":1783823585100,"version":"3.55.0"},"publisher-location":"Berlin, Heidelberg","reference-count":25,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642330261","type":"print"},{"value":"9783642330278","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-33027-8_22","type":"book-chapter","created":{"date-parts":[[2012,9,5]],"date-time":"2012-09-05T08:52:20Z","timestamp":1346835140000},"page":"374-389","source":"Crossref","is-referenced-by-count":26,"title":["Efficient Implementations of MQPKS on Constrained Devices"],"prefix":"10.1007","author":[{"given":"Peter","family":"Czypek","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stefan","family":"Heyse","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Enrico","family":"Thomae","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"22_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"371","DOI":"10.1007\/978-3-540-28632-5_27","volume-title":"Cryptographic Hardware and Embedded Systems - CHES 2004","author":"B.-Y. Yang","year":"2004","unstructured":"Yang, B.-Y., Chen, J.-M., Chen, Y.-H.: TTS: High-Speed Signatures on a Low-Cost Smart Card. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol.\u00a03156, pp. 371\u2013385. Springer, Heidelberg (2004)"},{"key":"22_CR2","doi-asserted-by":"crossref","unstructured":"Balasubramanian, S., Carter, H., Bogdanov, A., Rupp, A., Ding, J.: Fast Multivariate Signature Generation in Hardware: The Case of Rainbow. In: International Conference on Application-Specific Systems, Architectures and Processors, ASAP 2008, pp. 25\u201330 (July 2008)","DOI":"10.1109\/ASAP.2008.4580149"},{"issue":"3","key":"22_CR3","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.-C., Perret, L.: Hybrid Approach for Solving Multivariate Systems over Finite Fields. Journal of Mathematical Cryptology\u00a03(3), 177\u2013197 (2009)","journal-title":"Journal of Mathematical Cryptology"},{"key":"22_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"667","DOI":"10.1007\/978-3-642-25385-0_36","volume-title":"ASIACRYPT 2011","author":"C. Bouillaguet","year":"2011","unstructured":"Bouillaguet, C., Fouque, P.-A., Macario-Rat, G.: Practical key-recovery for all possible parameters of SFLASH. In: Lee, D.H., Wang, X. (eds.) ASIACRYPT 2011. LNCS, vol.\u00a07073, pp. 667\u2013685. Springer, Heidelberg (2011)"},{"key":"22_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1007\/978-3-540-30574-3_4","volume-title":"Topics in Cryptology \u2013 CT-RSA 2005","author":"A. Braeken","year":"2005","unstructured":"Braeken, A., Wolf, C., Preneel, B.: A Study of the Security of Unbalanced Oil and Vinegar Signature Schemes. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol.\u00a03376, pp. 29\u201343. Springer, Heidelberg (2005), \n                    \n                      http:\/\/eprint.iacr.org\/2004\/222\/"},{"key":"22_CR6","series-title":"Lecture Notes in Computer Science","volume-title":"Post-Quantum Cryptography","year":"2008","unstructured":"Buchmann, J., Ding, J. (eds.): PQCrypto 2008. LNCS, vol.\u00a05299. Springer, Heidelberg (2008)"},{"key":"22_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1007\/978-3-540-45146-4_3","volume-title":"Advances in Cryptology - CRYPTO 2003","author":"J.-C. Faug\u00e8re","year":"2003","unstructured":"Faug\u00e8re, J.-C., Joux, A.: Algebraic Cryptanalysis of Hidden Field Equation (HFE) Cryptosystems Using Gr\u00f6bner Bases. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol.\u00a02729, pp. 44\u201360. Springer, Heidelberg (2003)"},{"key":"22_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1007\/3-540-36288-6_25","volume-title":"Public Key Cryptography - PKC 2003","author":"N.T. Courtois","year":"2002","unstructured":"Courtois, N.T., Daum, M., Felke, P.: On the Security of HFE, HFEv- and Quartz. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol.\u00a02567, pp. 337\u2013350. Springer, Heidelberg (2002)"},{"key":"22_CR9","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.D., Yung, M. (eds.) ACNS 2005. LNCS, vol.\u00a03531, pp. 164\u2013175. Springer, Heidelberg (2005)"},{"key":"22_CR10","doi-asserted-by":"crossref","unstructured":"Driessen, B., Poschmann, A., Paar, C.: Comparison of Innovative Signature Algorithms for WSNs. In: Proceedings of ACM WiSec 2008. ACM (2008)","DOI":"10.1145\/1352533.1352539"},{"key":"22_CR11","unstructured":"Garey, M.R., Johnson, D.S.: Computers and Intractability \u2014 A Guide to the Theory of NP-Completeness. W.H. Freeman and Company (1979) ISBN 0-7167-1044-7 or 0-7167-1045-5"},{"key":"22_CR12","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 - 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.\u00a01976, pp. 44\u201357. Springer, Heidelberg (2000)"},{"key":"22_CR13","doi-asserted-by":"crossref","unstructured":"Gura, N., Patel, A., Wander, A., Eberle, H., Shantz, S.C.: Comparing Elliptic Curve Cryptography and RSA on 8-bit CPUs, pp. 119\u2013132 (2004)","DOI":"10.1007\/978-3-540-28632-5_9"},{"key":"22_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1007\/3-540-48910-X_15","volume-title":"Advances in Cryptology - 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.\u00a01592, pp. 206\u2013222. Springer, Heidelberg (1999)"},{"key":"22_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/BFb0055733","volume-title":"Advances in Cryptology - CRYPTO \u201998","author":"A. Kipnis","year":"1998","unstructured":"Kipnis, A., Shamir, A.: Cryptanalysis of the Oil and Vinegar Signature Scheme. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol.\u00a01462, pp. 257\u2013266. Springer, Heidelberg (1998)"},{"key":"22_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/3-540-48405-1_2","volume-title":"Advances in Cryptology - CRYPTO \u201999","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.\u00a01666, pp. 19\u201330. Springer, Heidelberg (1999)"},{"key":"22_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1007\/3-540-44750-4_20","volume-title":"Advances in Cryptology - CRYPTO \u201995","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.\u00a0963, pp. 248\u2013261. Springer, Heidelberg (1995)"},{"key":"22_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1007\/978-3-642-12929-2_16","volume-title":"Post-Quantum Cryptography","author":"A. Petzoldt","year":"2010","unstructured":"Petzoldt, A., Bulygin, S., Buchmann, J.: Selecting Parameters for the Rainbow Signature Scheme. In: Sendrier, N. (ed.) PQCrypto 2010. LNCS, vol.\u00a06061, pp. 218\u2013240. Springer, Heidelberg (2010)"},{"key":"22_CR19","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 \n                    \n                      \n                    \n                    $\\mathcal{M}$\n                  ultivariate \n                    \n                      \n                    \n                    $\\mathcal{Q}$\n                  uadratic Public Key Systems. In: Preneel, B., Takagi, T. (eds.) CHES 2011. LNCS, vol.\u00a06917, pp. 475\u2013490. Springer, Heidelberg (2011)"},{"key":"22_CR20","doi-asserted-by":"crossref","unstructured":"Shor, P.W.: Polynomial-time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer. SIAM J. on Computing, 1484\u20131509 (1997)","DOI":"10.1137\/S0097539795293172"},{"key":"22_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"228","DOI":"10.1007\/978-3-642-25405-5_15","volume-title":"Post-Quantum Cryptography","author":"S. Tang","year":"2011","unstructured":"Tang, S., Yi, H., Ding, J., Chen, H., Chen, G.: High-Speed Hardware Implementation of Rainbow Signature on FPGAs. In: Yang, B.-Y. (ed.) PQCrypto 2011. LNCS, vol.\u00a07071, pp. 228\u2013243. Springer, Heidelberg (2011)"},{"key":"22_CR22","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.\u00a07293, pp. 156\u2013171. Springer, Heidelberg (2012)"},{"key":"22_CR23","doi-asserted-by":"crossref","unstructured":"Wolf, C., Braeken, A., Preneel, B.: Efficient Cryptanalysis of RSE(2)PKC and RSSE(2)PKC (2004)","DOI":"10.1007\/978-3-540-30598-9_21"},{"key":"22_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"518","DOI":"10.1007\/11506157_43","volume-title":"Information Security and Privacy","author":"B.-Y. Yang","year":"2005","unstructured":"Yang, B.-Y., Chen, J.-M.: Building Secure Tame-like Multivariate Public-Key Cryptosystems: The new TTS. In: Boyd, C., Gonz\u00e1lez Nieto, J.M. (eds.) ACISP 2005. LNCS, vol.\u00a03574, pp. 518\u2013531. Springer, Heidelberg (2005)"},{"key":"22_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/11734666_7","volume-title":"Security in Pervasive Computing","author":"B.-Y. Yang","year":"2006","unstructured":"Yang, B.-Y., Cheng, C.-M., Chen, B.-R., Chen, J.-M.: Implementing Minimized Multivariate PKC on Low-Resource Embedded Systems. In: Clark, J.A., Paige, R.F., Polack, F.A.C., Brooke, P.J. (eds.) SPC 2006. LNCS, vol.\u00a03934, pp. 73\u201388. Springer, Heidelberg (2006)"}],"container-title":["Lecture Notes in Computer Science","Cryptographic Hardware and Embedded Systems \u2013 CHES 2012"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-33027-8_22.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T07:52:06Z","timestamp":1620114726000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-33027-8_22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642330261","9783642330278"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-33027-8_22","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}