{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T06:52:08Z","timestamp":1725519128667},"publisher-location":"Berlin, Heidelberg","reference-count":38,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540884026"},{"type":"electronic","value":"9783540884033"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"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":[[2008]]},"DOI":"10.1007\/978-3-540-88403-3_11","type":"book-chapter","created":{"date-parts":[[2008,10,7]],"date-time":"2008-10-07T04:26:31Z","timestamp":1223353591000},"page":"148-164","source":"Crossref","is-referenced-by-count":3,"title":["Nonlinear Piece In Hand Perturbation Vector Method for Enhancing Security of Multivariate Public Key Cryptosystems"],"prefix":"10.1007","author":[{"given":"Ryou","family":"Fujita","sequence":"first","affiliation":[]},{"given":"Kohtaro","family":"Tadaki","sequence":"additional","affiliation":[]},{"given":"Shigeo","family":"Tsujii","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"11_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1007\/3-540-48329-2_37","volume-title":"Advances in Cryptology - CRYPTO 1993","author":"D. Coppersmith","year":"1994","unstructured":"Coppersmith, D., Stern, J., Vaudenay, S.: Attacks on the birational permutation signature schemes. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol.\u00a0773, pp. 435\u2013443. Springer, Heidelberg (1994)"},{"key":"11_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":"11_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":"11_CR4","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.\u00a03531, pp. 164\u2013175. Springer, Heidelberg (2005)"},{"key":"11_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. (ed.) Cryptography and Coding 2005. LNCS, vol.\u00a03796, pp. 262\u2013277. Springer, Heidelberg (2005)"},{"key":"11_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"290","DOI":"10.1007\/11745853_19","volume-title":"Public Key Cryptography - PKC 2006","author":"J. Ding","year":"2006","unstructured":"Ding, J., Gower, J.E.: Inoculating multivariate schemes against differential attacks. In: Yung, M., Dodis, Y., Kiayias, A., Malkin, T. (eds.) PKC 2006. LNCS, vol.\u00a03958, pp. 290\u2013301. Springer, Heidelberg (2006)"},{"key":"11_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1007\/978-3-540-71677-8_18","volume-title":"Public Key Cryptography \u2013 PKC 2007","author":"J. Ding","year":"2007","unstructured":"Ding, J., Wolf, C., Yang, B.Y.: \u2113-Invertible Cycles for $\\mathcal{M}$ ultivariate $\\mathcal{Q}$ uadratic ( $\\mathcal{MQ}$ ) public key cryptography. In: Okamoto, T., Wang, X. (eds.) PKC 2007. LNCS, vol.\u00a04450, pp. 266\u2013281. Springer, Heidelberg (2007)"},{"key":"11_CR8","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":"11_CR9","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":"11_CR10","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.: Cryptanalysis of the TTM cryptosystem. In: Okamoto, T. (ed.) ASIACRYPT 2000. LNCS, vol.\u00a01976, pp. 44\u201357. Springer, Heidelberg (2000)"},{"key":"11_CR11","unstructured":"Ito, D., Fukushima, Y., Kaneko, T.: On the security of piece in hand concept based on sequential solution method. Technical Report of IEICE, ISEC2006-30, SITE2006-27 (2006-7) (July 2006) (in Japanese)"},{"key":"11_CR12","unstructured":"Kasahara, M., Sakai, R.: A new principle of public key cryptosystem and its realization. Technical Report of IEICE, ISEC2000-92 (2000-11) (November 2000) (in Japanese)"},{"issue":"1","key":"11_CR13","first-page":"102","volume":"E87-A","author":"M. Kasahara","year":"2004","unstructured":"Kasahara, M., Sakai, R.: A construction of public key cryptosystem for realizing ciphertext of size 100 bit and digital signature scheme. IEICE Transactions on Fundamentals\u00a0E87-A(1), 102\u2013109 (2004)","journal-title":"IEICE Transactions on Fundamentals"},{"issue":"1","key":"11_CR14","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1093\/ietfec\/E88-A.1.74","volume":"E88-A","author":"M. Kasahara","year":"2005","unstructured":"Kasahara, M., Sakai, R.: A construction of public-key cryptosystem based on singular simultaneous equations. IEICE Transactions on Fundamentals\u00a0E88-A(1), 74\u201380 (2005)","journal-title":"IEICE Transactions on Fundamentals"},{"key":"11_CR15","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 - 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":"11_CR16","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 - 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":"11_CR17","unstructured":"Matsumoto, T., Imai, H., Harashima, H., Miyakawa, H.: A class of asymmetric cryptosystems using obscure representations of enciphering functions. In: 1983 National Convention Record on Information Systems, IECE Japan, pp. S8\u20135 (1983) (in Japanese)"},{"key":"11_CR18","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":"11_CR19","doi-asserted-by":"publisher","first-page":"2207","DOI":"10.1080\/00927879908826559","volume":"27","author":"T.T. Moh","year":"1999","unstructured":"Moh, T.T.: A public key system with signature and master key functions. Communications in Algebra\u00a027, 2207\u20132222 (1999)","journal-title":"Communications in Algebra"},{"key":"11_CR20","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":"11_CR21","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":"11_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","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.: $C_{-+}^*$ 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\u201349. Springer, Heidelberg (1998)"},{"key":"11_CR23","series-title":"Lecture Notes in Computer Science","first-page":"1","volume-title":"Advances in Cryptology - CRYPTO 1993","author":"A. Shamir","year":"1994","unstructured":"Shamir, A.: Efficient signature schemes based on birational permutations. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol.\u00a0773, pp. 1\u201312. Springer, Heidelberg (1994)"},{"key":"11_CR24","unstructured":"Tadaki, K., Tsujii, S.: On the enhancement of security by piece in hand matrix method for multivariate public key cryptosystems. In: Proc.\u00a0SCIS 2007, vol. 2C1-3 (2007)"},{"issue":"12","key":"11_CR25","first-page":"1963","volume":"J69-D","author":"S. Tsujii","year":"1986","unstructured":"Tsujii, S., Kurosawa, K., Itoh, T., Fujioka, A., Matsumoto, T.: A public-key cryptosystem based on the difficulty of solving a system of non-linear equations. IECE Transactions (D)\u00a0J69-D(12), 1963\u20131970 (1986) (in Japanese)","journal-title":"IECE Transactions (D)"},{"issue":"2","key":"11_CR26","first-page":"390","volume":"J72-A","author":"S. Tsujii","year":"1989","unstructured":"Tsujii, S., Fujioka, A., Hirayama, Y.: Generalization of the public-key cryptosystem based on the difficulty of solving a system of non-linear equations. IEICE Transactions (A)\u00a0J72-A(2), 390\u2013397 (1989) (in Japanese) (An English translation of [26] is included in [29] as an appendix)","journal-title":"IEICE Transactions (A)"},{"key":"11_CR27","unstructured":"Tsujii, S.: A new structure of primitive public key cryptosystem based on soldiers in hand matrix. Technical Report TRISE 02-03, Chuo University (July 2003)"},{"key":"11_CR28","unstructured":"Tsujii, S., Fujita, R., Tadaki, K.: Proposal of MOCHIGOMA (piece in hand) concept for multivariate type public key cryptosystem. Technical Report of IEICE, ISEC2004-74 (2004-09) (September 2004)"},{"key":"11_CR29","unstructured":"Tsujii, S., Tadaki, K., Fujita, R.: Piece in hand concept for enhancing the security of multivariate type public key cryptosystems: public key without containing all the information of secret key. Cryptology ePrint Archive, Report 2004\/366 (December 2004), http:\/\/eprint.iacr.org\/2004\/366"},{"key":"11_CR30","unstructured":"Tsujii, S., Tadaki, K., Fujita, R.: Piece in hand concept for enhancing the security of multivariate type public key cryptosystems: public key without containing all the information of secret key. In: Proc. SCIS 2005, vol.\u00a02E1-3, pp. 487\u2013492 (2005), http:\/\/lab.iisec.ac.jp\/~tsujii\/SCIS2005-2E1-3.pdf"},{"key":"11_CR31","unstructured":"Tsujii, S., Tadaki, K., Fujita, R.: Proposal for piece in hand (soldiers in hand) matrix \u2014 general concept for enhancing security of multivariate public key cryptosystems \u2014 Ver.2. In: Proc. SCIS 2006, vol.\u00a02A4-1 (2006) (in Japanese), http:\/\/lab.iisec.ac.jp\/~tsujii\/SCIS2006-2A4-1.pdf"},{"key":"11_CR32","unstructured":"Tsujii, S., Tadaki, K., Fujita, R.: Proposal for piece in hand matrix ver.2: general concept for enhancing security of multivariate public key cryptosystems. In: Workshop Record of the International Workshop on Post-Quantum Cryptography (PQCrypto 2006), pp. 103\u2013117 (2006), http:\/\/postquantum.cr.yp.to\/pqcrypto2006record.pdf"},{"key":"11_CR33","doi-asserted-by":"crossref","unstructured":"Tsujii, S., Tadaki, K., Fujita, R.: Proposal for piece in hand matrix: general concept for enhancing security of multivariate public key cryptosystems. IEICE Transactions on Fundamentals\u00a0E90-A(5), 992\u2013999 (2007), http:\/\/lab.iisec.ac.jp\/~tsujii\/TTF07.pdf","DOI":"10.1093\/ietfec\/e90-a.5.992"},{"key":"11_CR34","unstructured":"Tsujii, S., Tadaki, K., Fujita, R.: Nonlinear piece in hand matrix method for enhancing security of multivariate public key cryptosystems. In: Proceedings of the First International Conference on Symbolic Computation and Cryptography (SCC 2008), pp. 124\u2013144 (2008)"},{"key":"11_CR35","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"244","DOI":"10.1007\/978-3-540-30580-4_17","volume-title":"Public Key Cryptography - PKC 2005","author":"L.C. Wang","year":"2005","unstructured":"Wang, L.C., Hu, Y.H., Lai, F., Chou, C.Y., Yang, B.Y.: Tractable rational map signature. In: Vaudenay, S. (ed.) PKC 2005. LNCS, vol.\u00a03386, pp. 244\u2013257. Springer, Heidelberg (2005)"},{"key":"11_CR36","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"132","DOI":"10.1007\/11605805_9","volume-title":"Topics in Cryptology \u2013 CT-RSA 2006","author":"L.C. Wang","year":"2006","unstructured":"Wang, L.C., Yang, B.Y., Hu, Y.H., Lai, F.: A medium-field multivariate public-key encryption scheme. In: Pointcheval, D. (ed.) CT-RSA 2006. LNCS, vol.\u00a03860, pp. 132\u2013149. Springer, Heidelberg (2006)"},{"key":"11_CR37","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"294","DOI":"10.1007\/978-3-540-30598-9_21","volume-title":"Security in Communication Networks","author":"C. Wolf","year":"2005","unstructured":"Wolf, C., Braeken, A., Preneel, B.: Efficient cryptanalysis of RSE(2)PKC and RSSE(2)PKC. In: Blundo, C., Cimato, S. (eds.) SCN 2004. LNCS, vol.\u00a03352, pp. 294\u2013309. Springer, Heidelberg (2005)"},{"key":"11_CR38","unstructured":"Wolf, C., Preneel, B.: Taxonomy of Public Key Schemes based on the problem of Multivariate Quadratic equations. Cryptology ePrint Archive, Report 2005\/077 (December 2005), http:\/\/eprint.iacr.org\/2005\/077"}],"container-title":["Lecture Notes in Computer Science","Post-Quantum Cryptography"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-88403-3_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T12:58:55Z","timestamp":1557838735000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-88403-3_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9783540884026","9783540884033"],"references-count":38,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-88403-3_11","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2008]]}}}