{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:33:49Z","timestamp":1759638829698},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540338512"},{"type":"electronic","value":"9783540338529"}],"license":[{"start":{"date-parts":[[2006,1,1]],"date-time":"2006-01-01T00:00:00Z","timestamp":1136073600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11745853_19","type":"book-chapter","created":{"date-parts":[[2006,4,13]],"date-time":"2006-04-13T09:18:58Z","timestamp":1144919938000},"page":"290-301","source":"Crossref","is-referenced-by-count":23,"title":["Inoculating Multivariate Schemes Against Differential Attacks"],"prefix":"10.1007","author":[{"given":"Jintai","family":"Ding","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jason E.","family":"Gower","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"19_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/3-540-36288-6_20","volume-title":"Public Key Cryptography - PKC 2003","author":"M.-L. Akkar","year":"2003","unstructured":"Akkar, M.-L., Courtois, N.T., Duteuil, R., Goubin, L.: A Fast and Secure Implementation of Sflash. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol.\u00a02567, pp. 267\u2013278. Springer, Heidelberg (2003)"},{"key":"19_CR2","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 - 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.\u00a01807, pp. 392\u2013407. Springer, Heidelberg (2000)"},{"key":"19_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1007\/978-3-540-24632-9_22","volume-title":"Public Key Cryptography \u2013 PKC 2004","author":"J. Ding","year":"2004","unstructured":"Ding, J.: A New Variant of the Matsumoto-Imai Cryptosystem Through Perturbation. In: Bao, F., Deng, R., Zhou, J. (eds.) PKC 2004. LNCS, vol.\u00a02947, pp. 305\u2013318. Springer, Heidelberg (2004)"},{"key":"19_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"288","DOI":"10.1007\/978-3-540-30580-4_20","volume-title":"Public Key Cryptography - PKC 2005","author":"J. Ding","year":"2005","unstructured":"Ding, J., Schmidt, D.: Cryptanalysis of HFEv and Internal Perturbation of HFE. In: Vaudenay, S. (ed.) PKC 2005. LNCS, vol.\u00a03386, pp. 288\u2013301. Springer, Heidelberg (2005)"},{"key":"19_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1007\/11586821_18","volume-title":"Cryptography and Coding","author":"J. Ding","year":"2005","unstructured":"Ding, J., Gower, J.E., Schmidt, D., Wolf, C., Yin, Z.: Complexity Estimates for the F4 Attack on the Perturbed Matsumoto-Imai Cryptosystem. In: Smart, N.P. (ed.) Cryptography and Coding 2005. LNCS, vol.\u00a03796, pp. 262\u2013277. Springer, Heidelberg (2005)"},{"key":"19_CR6","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/S0022-4049(99)00005-5","volume":"139","author":"J.-C. Faug\u00e9re","year":"1999","unstructured":"Faug\u00e9re, J.-C.: A New Efficient Algorithm for Computing Gr\u00f6bner Bases (F4). Journal of Applied and Pure Algebra\u00a0139, 61\u201388 (1999)","journal-title":"Journal of Applied and Pure Algebra"},{"key":"19_CR7","volume-title":"An Introduction to Probability Theory and Its Applications","author":"W. Feller","year":"1968","unstructured":"Feller, W.: An Introduction to Probability Theory and Its Applications, 3rd edn., vol.\u00a0I. Wiley & Sons, Chichester (1968)","edition":"3"},{"key":"19_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/11426639_20","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2005","author":"P.-A. Fouque","year":"2005","unstructured":"Fouque, P.-A., Granboulan, L., Stern, J.: Differential Cryptanalysis for Multivariate Schemes. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol.\u00a03494, pp. 341\u2013353. Springer, Heidelberg (2005)"},{"key":"19_CR9","unstructured":"Kemeny, J.G., Snell, J.L.: Finite Markov Chains. D. Van Nostrand Company, Inc. (1960)"},{"key":"19_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1007\/3-540-45961-8_39","volume-title":"Advances in Cryptology - EUROCRYPT 1988","author":"T. Matsumoto","year":"1988","unstructured":"Matsumoto, T., Imai, H.: Public Quadratic Polynomial-Tuples for Efficient Signature-Verification and Message-Encryption. In: G\u00fcnther, C.G. (ed.) EUROCRYPT 1988. LNCS, vol.\u00a0330, pp. 419\u2013453. Springer, Heidelberg (1988)"},{"key":"19_CR11","unstructured":"NESSIE. European project IST-1999-12324 on New European Schemes for Signature, Integrity and Encryption, \n                    \n                      http:\/\/www.cryptonessie.org"},{"key":"19_CR12","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 1995","author":"J. Patarin","year":"1995","unstructured":"Patarin, J.: Cryptanalysis of the Matsumoto and Imai Public Key Scheme of Eurocrypt 1988. In: Coppersmith, D. (ed.) CRYPTO 1995. LNCS, vol.\u00a0963, pp. 248\u2013261. Springer, Heidelberg (1995)"},{"key":"19_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/3-540-68339-9_4","volume-title":"Advances in Cryptology - EUROCRYPT 1996","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.M. (ed.) EUROCRYPT 1996. LNCS, vol.\u00a01070, pp. 33\u201348. Springer, Heidelberg (1996)"},{"key":"19_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/3-540-49649-1_4","volume-title":"Advances in Cryptology - ASIACRYPT 1998","author":"J. Patarin","year":"1998","unstructured":"Patarin, J., Goubin, L., Courtois, N.: C\u2009\u2217\u2009- + and HM: Variations Around Two Schemes of T. Matsumoto and H. Imai. In: Ohta, K., Pei, D. (eds.) ASIACRYPT 1998. LNCS, vol.\u00a01514, pp. 35\u201350. Springer, Heidelberg (1998)"},{"key":"19_CR15","unstructured":"Yang, B.-Y., Chen, J.-M., Chen, Y.-H.: Private communication"},{"key":"19_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"410","DOI":"10.1007\/978-3-540-30191-2_31","volume-title":"Information and Communications Security","author":"B.-Y. Yang","year":"2004","unstructured":"Yang, B.-Y., Chen, J.-M., Courtois, N.: On Asymptotic Security Estimates in XL and Gr\u00f6bner Bases-Related Algebraic Cryptanalysis. In: L\u00f3pez, J., Qing, S., Okamoto, E. (eds.) ICICS 2004. LNCS, vol.\u00a03269, pp. 410\u2013413. Springer, Heidelberg (2004)"}],"container-title":["Lecture Notes in Computer Science","Public Key Cryptography - PKC 2006"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11745853_19","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,12]],"date-time":"2019-03-12T04:08:29Z","timestamp":1552363709000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11745853_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540338512","9783540338529"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/11745853_19","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}