{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T09:13:33Z","timestamp":1773825213345,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":31,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642340468","type":"print"},{"value":"9783642340475","type":"electronic"}],"license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"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":[[2012]]},"DOI":"10.1007\/978-3-642-34047-5_21","type":"book-chapter","created":{"date-parts":[[2012,9,10]],"date-time":"2012-09-10T06:56:19Z","timestamp":1347260179000},"page":"366-384","source":"Crossref","is-referenced-by-count":82,"title":["Higher-Order Masking Schemes for S-Boxes"],"prefix":"10.1007","author":[{"given":"Claude","family":"Carlet","sequence":"first","affiliation":[]},{"given":"Louis","family":"Goubin","sequence":"additional","affiliation":[]},{"given":"Emmanuel","family":"Prouff","sequence":"additional","affiliation":[]},{"given":"Michael","family":"Quisquater","sequence":"additional","affiliation":[]},{"given":"Matthieu","family":"Rivain","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"21_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":"2002","unstructured":"Akkar, M.-L., Courtois, N., 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 (2002)"},{"key":"21_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1007\/3-540-44709-1_26","volume-title":"Cryptographic Hardware and Embedded Systems - CHES 2001","author":"M.-L. Akkar","year":"2001","unstructured":"Akkar, M.-L., Giraud, C.: An Implementation of DES and AES, Secure against Some Attacks. In: Ko\u00e7, \u00c7.K., Naccache, D., Paar, C. (eds.) CHES 2001. LNCS, vol.\u00a02162, pp. 309\u2013318. Springer, Heidelberg (2001)"},{"key":"21_CR3","first-page":"313","volume-title":"National Comp. Conf.","author":"G. Blakley","year":"1979","unstructured":"Blakley, G.: Safeguarding cryptographic keys. In: National Comp. Conf., June 1979, vol.\u00a048, pp. 313\u2013317. AFIPS Press, New York (1979)"},{"key":"21_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1007\/978-3-540-30564-4_5","volume-title":"Selected Areas in Cryptography","author":"J. Bl\u00f6mer","year":"2004","unstructured":"Bl\u00f6mer, J., Guajardo, J., Krummel, V.: Provably Secure Masking of AES. In: Handschuh, H., Hasan, M.A. (eds.) SAC 2004. LNCS, vol.\u00a03357, pp. 69\u201383. Springer, Heidelberg (2004)"},{"key":"21_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"450","DOI":"10.1007\/978-3-540-74735-2_31","volume-title":"Cryptographic Hardware and Embedded Systems - CHES 2007","author":"A. Bogdanov","year":"2007","unstructured":"Bogdanov, A., Knudsen, L.R., Leander, G., Paar, C., Poschmann, A., Robshaw, M.J.B., Seurin, Y., Vikkelsoe, C.: PRESENT: An Ultra-Lightweight Block Cipher. In: Paillier, P., Verbauwhede, I. (eds.) CHES 2007. LNCS, vol.\u00a04727, pp. 450\u2013466. Springer, Heidelberg (2007)"},{"key":"21_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1007\/978-3-540-28632-5_2","volume-title":"Cryptographic Hardware and Embedded Systems - CHES 2004","author":"E. Brier","year":"2004","unstructured":"Brier, E., Clavier, C., Olivier, F.: Correlation Power Analysis with a Leakage Model. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol.\u00a03156, pp. 16\u201329. Springer, Heidelberg (2004)"},{"key":"21_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"398","DOI":"10.1007\/3-540-48405-1_26","volume-title":"Advances in Cryptology - CRYPTO \u201999","author":"S. Chari","year":"1999","unstructured":"Chari, S., Jutla, C.S., Rao, J.R., Rohatgi, P.: Towards Sound Approaches to Counteract Power-Analysis Attacks. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol.\u00a01666, pp. 398\u2013412. Springer, Heidelberg (1999)"},{"key":"21_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1007\/978-3-540-74735-2_3","volume-title":"Cryptographic Hardware and Embedded Systems - CHES 2007","author":"J.-S. Coron","year":"2007","unstructured":"Coron, J.-S., Prouff, E., Rivain, M.: Side Channel Cryptanalysis of a Higher Order Masking Scheme. In: Paillier, P., Verbauwhede, I. (eds.) CHES 2007. LNCS, vol.\u00a04727, pp. 28\u201344. Springer, Heidelberg (2007)"},{"issue":"1","key":"21_CR9","first-page":"17","volume":"6","author":"J. Eve","year":"1964","unstructured":"Eve, J.: The evaluation of polynomials. Comm. ACM\u00a06(1), 17\u201321 (1964)","journal-title":"Comm. ACM"},{"key":"21_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/978-3-642-13190-5_7","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2010","author":"S. Faust","year":"2010","unstructured":"Faust, S., Rabin, T., Reyzin, L., Tromer, E., Vaikuntanathan, V.: Protecting Circuits from Leakage: the Computationally-Bounded and Noisy Cases. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol.\u00a06110, pp. 135\u2013156. Springer, Heidelberg (2010)"},{"key":"21_CR11","unstructured":"FIPS PUB 46. The Data Encryption Standard. National Bureau of Standards (January 1977)"},{"key":"21_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"240","DOI":"10.1007\/978-3-642-23951-9_16","volume-title":"Cryptographic Hardware and Embedded Systems \u2013 CHES 2011","author":"L. Genelle","year":"2011","unstructured":"Genelle, L., Prouff, E., Quisquater, M.: Thwarting Higher-Order Side Channel Analysis with Additive and Multiplicative Maskings. In: Preneel, B., Takagi, T. (eds.) CHES 2011. LNCS, vol.\u00a06917, pp. 240\u2013255. Springer, Heidelberg (2011)"},{"key":"21_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1007\/3-540-48059-5_15","volume-title":"Cryptographic Hardware and Embedded Systems","author":"L. Goubin","year":"1999","unstructured":"Goubin, L., Patarin, J.: DES and Differential Power Analysis. In: Ko\u00e7, \u00c7.K., Paar, C. (eds.) CHES 1999. LNCS, vol.\u00a01717, pp. 158\u2013172. Springer, Heidelberg (1999)"},{"key":"21_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1007\/978-3-540-45146-4_27","volume-title":"Advances in Cryptology - CRYPTO 2003","author":"Y. Ishai","year":"2003","unstructured":"Ishai, Y., Sahai, A., Wagner, D.: Private Circuits: Securing Hardware against Probing Attacks. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol.\u00a02729, pp. 463\u2013481. Springer, Heidelberg (2003)"},{"key":"21_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1007\/978-3-642-23951-9_7","volume-title":"Cryptographic Hardware and Embedded Systems \u2013 CHES 2011","author":"H. Kim","year":"2011","unstructured":"Kim, H., Hong, S., Lim, J.: A Fast and Provably Secure Higher-Order Masking of AES S-Box. In: Preneel, B., Takagi, T. (eds.) CHES 2011. LNCS, vol.\u00a06917, pp. 95\u2013107. Springer, Heidelberg (2011)"},{"key":"21_CR16","unstructured":"Knuth, D.: The Art of Computer Programming, 3rd edn., vol.\u00a02. Addison-Wesley (1988)"},{"issue":"12","key":"21_CR17","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1145\/355580.369074","volume":"5","author":"D.E. Knuth","year":"1962","unstructured":"Knuth, D.E.: Evaluation of polynomials by computers. Comm. ACM\u00a05(12), 595\u2013599 (1962)","journal-title":"Comm. ACM"},{"key":"21_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"388","DOI":"10.1007\/3-540-48405-1_25","volume-title":"Advances in Cryptology - CRYPTO \u201999","author":"P.C. Kocher","year":"1999","unstructured":"Kocher, P.C., Jaffe, J., Jun, B.: Differential Power Analysis. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol.\u00a01666, pp. 388\u2013397. Springer, Heidelberg (1999)"},{"key":"21_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1007\/978-3-540-30574-3_24","volume-title":"Topics in Cryptology \u2013 CT-RSA 2005","author":"S. Mangard","year":"2005","unstructured":"Mangard, S., Popp, T., Gammel, B.M.: Side-Channel Leakage of Masked CMOS Gates. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol.\u00a03376, pp. 351\u2013365. Springer, Heidelberg (2005)"},{"key":"21_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/11545262_12","volume-title":"Cryptographic Hardware and Embedded Systems \u2013 CHES 2005","author":"S. Mangard","year":"2005","unstructured":"Mangard, S., Pramstaller, N., Oswald, E.: Successfully Attacking Masked AES Hardware Implementations. In: Rao, J.R., Sunar, B. (eds.) CHES 2005. LNCS, vol.\u00a03659, pp. 157\u2013171. Springer, Heidelberg (2005)"},{"key":"21_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"150","DOI":"10.1007\/3-540-44706-7_11","volume-title":"Fast Software Encryption","author":"T.S. Messerges","year":"2001","unstructured":"Messerges, T.S.: Securing the AES Finalists Against Power Analysis Attacks. In: Schneier, B. (ed.) FSE 2000. LNCS, vol.\u00a01978, pp. 150\u2013164. Springer, Heidelberg (2001)"},{"key":"21_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"238","DOI":"10.1007\/3-540-44499-8_19","volume-title":"Cryptographic Hardware and Embedded Systems - CHES 2000","author":"T.S. Messerges","year":"2000","unstructured":"Messerges, T.S.: Using Second-Order Power Analysis to Attack DPA Resistant Software. In: Paar, C., Ko\u00e7, \u00c7.K. (eds.) CHES 2000. LNCS, vol.\u00a01965, pp. 238\u2013251. Springer, Heidelberg (2000)"},{"key":"21_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1007\/978-3-642-00730-9_14","volume-title":"Information Security and Cryptology \u2013 ICISC 2008","author":"S. Nikova","year":"2009","unstructured":"Nikova, S., Rijmen, V., Schl\u00e4ffer, M.: Secure Hardware Implementation of Non-linear Functions in the Presence of Glitches. In: Lee, P.J., Cheon, J.H. (eds.) ICISC 2008. LNCS, vol.\u00a05461, pp. 218\u2013234. Springer, Heidelberg (2009)"},{"key":"21_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1007\/978-3-540-74735-2_6","volume-title":"Cryptographic Hardware and Embedded Systems - CHES 2007","author":"T. Popp","year":"2007","unstructured":"Popp, T., Kirschbaum, M., Zefferer, T., Mangard, S.: Evaluation of the Masked Logic Style MDPL on a Prototype Chip. In: Paillier, P., Verbauwhede, I. (eds.) CHES 2007. LNCS, vol.\u00a04727, pp. 81\u201394. Springer, Heidelberg (2007)"},{"key":"21_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1007\/978-3-540-77535-5_17","volume-title":"Information Security Applications","author":"E. Prouff","year":"2008","unstructured":"Prouff, E., Rivain, M.: A Generic Method for Secure SBox Implementation. In: Kim, S., Yung, M., Lee, H.-W. (eds.) WISA 2007. LNCS, vol.\u00a04867, pp. 227\u2013244. Springer, Heidelberg (2008)"},{"key":"21_CR26","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1007\/978-3-540-71039-4_8","volume-title":"Fast Software Encryption","author":"M. Rivain","year":"2008","unstructured":"Rivain, M., Dottax, E., Prouff, E.: Block Ciphers Implementations Provably Secure Against Second Order Side Channel Analysis. In: Nyberg, K. (ed.) FSE 2008. LNCS, vol.\u00a05086, pp. 127\u2013143. Springer, Heidelberg (2008)"},{"key":"21_CR27","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"413","DOI":"10.1007\/978-3-642-15031-9_28","volume-title":"Cryptographic Hardware and Embedded Systems, CHES 2010","author":"M. Rivain","year":"2010","unstructured":"Rivain, M., Prouff, E.: Provably Secure Higher-Order Masking of AES. In: Mangard, S., Standaert, F.-X. (eds.) CHES 2010. LNCS, vol.\u00a06225, pp. 413\u2013427. Springer, Heidelberg (2010)"},{"key":"21_CR28","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1007\/3-540-45682-1_15","volume-title":"Advances in Cryptology - ASIACRYPT 2001","author":"A. Satoh","year":"2001","unstructured":"Satoh, A., Morioka, S., Takano, K., Munetoh, S.: A Compact Rijndael Hardware Architecture with S-Box Optimization. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol.\u00a02248, pp. 239\u2013254. Springer, Heidelberg (2001)"},{"key":"21_CR29","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"208","DOI":"10.1007\/11605805_14","volume-title":"Topics in Cryptology \u2013 CT-RSA 2006","author":"K. Schramm","year":"2006","unstructured":"Schramm, K., Paar, C.: Higher Order Masking of the AES. In: Pointcheval, D. (ed.) CT-RSA 2006. LNCS, vol.\u00a03860, pp. 208\u2013225. Springer, Heidelberg (2006)"},{"issue":"11","key":"21_CR30","doi-asserted-by":"publisher","first-page":"612","DOI":"10.1145\/359168.359176","volume":"22","author":"A. Shamir","year":"1979","unstructured":"Shamir, A.: How to Share a Secret. Commun. ACM\u00a022(11), 612\u2013613 (1979)","journal-title":"Commun. ACM"},{"key":"21_CR31","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1007\/BF01212964","volume":"1","author":"J. Gathen von zur","year":"1991","unstructured":"von zur Gathen, J.: Efficient and Optimal Exponentiation in Finite Fields. Computational Complexity\u00a01, 360\u2013394 (1991)","journal-title":"Computational Complexity"}],"container-title":["Lecture Notes in Computer Science","Fast Software Encryption"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-34047-5_21","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,7]],"date-time":"2019-05-07T05:27:14Z","timestamp":1557206834000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-34047-5_21"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642340468","9783642340475"],"references-count":31,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-34047-5_21","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}