{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T03:44:46Z","timestamp":1780544686954,"version":"3.54.1"},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540435532","type":"print"},{"value":"9783540460350","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2002]]},"DOI":"10.1007\/3-540-46035-7_34","type":"book-chapter","created":{"date-parts":[[2007,8,11]],"date-time":"2007-08-11T12:21:56Z","timestamp":1186834916000},"page":"518-533","source":"Crossref","is-referenced-by-count":51,"title":["Degree of Composition of Highly Nonlinear Functions and Applications to Higher Order Differential Cryptanalysis"],"prefix":"10.1007","author":[{"given":"Anne","family":"Canteaut","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Marion","family":"Videau","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2002,4,29]]},"reference":[{"key":"34_CR1","series-title":"Lect Notes Comput Sci","first-page":"22","volume-title":"Proceedings of ICISC 2000","author":"S. Babbage","year":"2000","unstructured":"S. Babbage and L. Frisch. On MISTY1 Higher Order Differential Cryptanalysis. In Proceedings of ICISC 2000, number 2015 in Lecture Notes in Computer Science, pages 22\u201336. Springer-Verlag, 2000."},{"key":"34_CR2","series-title":"Lect Notes Comput Sci","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1007\/3-540-48519-8_14","volume-title":"Fast Software Encryption 99","author":"A. Canteaut","year":"1999","unstructured":"A. Canteaut, P. Charpin, and H. Dobbertin. A new characterization of almost bent functions. In Fast Software Encryption 99, number 1636 in Lecture Notes in Computer Science, pages 186\u2013200. Springer-Verlag, 1999."},{"key":"34_CR3","unstructured":"A. Canteaut and M. Videau. Weakness of block ciphers using highly nonlinear confusion functions. Research Report 4367, INRIA, February 2002. Available on \n                    http:\/\/www.inria.fr\/rrrt\/rr-4367.html\n                    \n                  ."},{"key":"34_CR4","series-title":"Lect Notes Comput Sci","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/3-540-48285-7_8","volume-title":"Advances in Cryptology-EUROCRYPT\u201993","author":"C. Carlet","year":"1994","unstructured":"C. Carlet. Two new classes of bent functions. In Advances in Cryptology-EUROCRYPT\u201993, number 765 in Lecture Notes in Computer Science, pages 77\u2013101. Springer-Verlag, 1994."},{"key":"34_CR5","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1023\/A:1008344232130","volume":"15","author":"C. Carlet","year":"1998","unstructured":"C. Carlet, P. Charpin, and V. Zinoviev. Codes, bent functions and permutations suitable for DES-like cryptosystems. Designs, Codes and Cryptography, 15:125\u2013156, 1998.","journal-title":"Designs, Codes and Cryptography"},{"key":"34_CR6","series-title":"Lect Notes Comput Sci","doi-asserted-by":"publisher","first-page":"356","DOI":"10.1007\/BFb0053450","volume-title":"Advances in Cryptology-EUROCRYPT\u201994","author":"F. Chabaud","year":"1995","unstructured":"F. Chabaud and S. Vaudenay. Links between differential and linear cryptanalysis. In A. De Santis, editor, Advances in Cryptology-EUROCRYPT\u201994, number 950 in Lecture Notes in Computer Science, pages 356\u2013365. Springer-Verlag, 1995."},{"key":"34_CR7","doi-asserted-by":"publisher","first-page":"1238","DOI":"10.1109\/18.508848","volume":"42","author":"T. Cusick","year":"1996","unstructured":"T. Cusick and H. Dobbertin. Some new 3-valued crosscorrelation functions of binary m-sequences. IEEE Transactions on Information Theory, 42:1238\u20131240, 1996.","journal-title":"IEEE Transactions on Information Theory"},{"issue":"2","key":"34_CR8","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1007\/s002000050099","volume":"9","author":"H. Dobbertin","year":"1998","unstructured":"H. Dobbertin. One-to-one highly nonlinear power functions on GF(2n). Appl. Algebra Engrg. Comm. Comput., 9(2):139\u2013152, 1998.","journal-title":"Appl. Algebra Engrg. Comm. Comput."},{"key":"34_CR9","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1109\/TIT.1968.1054106","volume":"14","author":"R. Gold","year":"1968","unstructured":"R. Gold. Maximal recursive sequences with 3-valued recursive crosscorrelation functions. IEEE Transactions on Information Theory, 14:154\u2013156, 1968.","journal-title":"IEEE Transactions on Information Theory"},{"key":"34_CR10","series-title":"Lect Notes Comput Sci","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1007\/BFb0052332","volume-title":"Fast Software Encryption 97","author":"T. Jakobsen","year":"1997","unstructured":"T. Jakobsen and L.R. Knudsen. The interpolation attack on block ciphers. In Fast Software Encryption 97, number 1267 in Lecture Notes in Computer Science, pages 28\u201340. Springer-Verlag, 1997."},{"key":"34_CR11","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1016\/S0019-9958(71)90473-6","volume":"18","author":"T. Kasami","year":"1971","unstructured":"T. Kasami. The weight enumerators for several classes of subcodes of the second order binary Reed-Muller codes. Information and Control, 18:369\u2013394, 1971.","journal-title":"Information and Control"},{"key":"34_CR12","series-title":"Lect Notes Comput Sci","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1007\/3-540-60590-8_16","volume-title":"Fast Software Encryption-Second International Workshop","author":"L. R. Knudsen","year":"1995","unstructured":"L. R. Knudsen. Truncated and higher order differentials. In Fast Software Encryption-Second International Workshop, number 1008 in Lecture Notes in Computer Science, pages 196\u2013211. Springer-Verlag, 1995."},{"issue":"3","key":"34_CR13","doi-asserted-by":"publisher","first-page":"686","DOI":"10.1109\/18.54892","volume":"36","author":"G. Lachaud","year":"1990","unstructured":"G. Lachaud and J. Wolfmann. The weights of the orthogonal of the extended quadratic binary Goppa codes. IEEE Transactions on Information Theory, 36(3):686\u2013692, 1990.","journal-title":"IEEE Transactions on Information Theory"},{"key":"34_CR14","doi-asserted-by":"crossref","unstructured":"X. Lai. Higher order derivatives and differential cryptanalysis. In Proc. \u201cSymposium on Communication, Coding and Cryptography\u201d, in honor of J. L. Massey on the occasion of his 60\u2019th birthday, 1994.","DOI":"10.1007\/978-1-4615-2694-0_23"},{"key":"34_CR15","unstructured":"F.J. MacWilliams and N.J.A. Sloane. The Theory of Error-Correcting Codes. North-Holland, 1977."},{"key":"34_CR16","series-title":"Lect Notes Comput Sci","first-page":"386","volume-title":"Advances in Cryptology-EUROCRYPT\u201993","author":"M. Matsui","year":"1993","unstructured":"M. Matsui. Linear cryptanalysis method for DES cipher. In Advances in Cryptology-EUROCRYPT\u201993, number 765 in Lecture Notes in Computer Science, pages 386\u2013397. Springer-Verlag, 1993."},{"key":"34_CR17","series-title":"Lect Notes Comput Sci","volume-title":"Advances in Cryptology-CRYPTO\u201994","author":"M. Matsui","year":"1995","unstructured":"M. Matsui. The first experimental cryptanalysis of the Data Encryption Standard. In Advances in Cryptology-CRYPTO\u201994, number 839 in Lecture Notes in Computer Science. Springer-Verlag, 1995."},{"key":"34_CR18","series-title":"Lect Notes Comput Sci","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1007\/BFb0052334","volume-title":"Fast Software Encryption 97","author":"M. Matsui","year":"1997","unstructured":"M. Matsui. New Block Encryption Algorithm MISTY. In Fast Software Encryption 97, number 1267 in Lecture Notes in Computer Science, pages 54\u201368. Springer-Verlag, 1997."},{"key":"34_CR19","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/0012-365X(72)90032-5","volume":"3","author":"R.J. McEliece","year":"1972","unstructured":"R.J. McEliece. Weight congruence for p-ary cyclic codes. Discrete Mathematics, 3:177\u2013192, 1972.","journal-title":"Discrete Mathematics"},{"key":"34_CR20","series-title":"Lect Notes Comput Sci","first-page":"55","volume-title":"Advances in Cryptology-EUROCRYPT\u201993","author":"K. Nyberg","year":"1993","unstructured":"K. Nyberg. Differentially uniform mappings for cryptography. In Advances in Cryptology-EUROCRYPT\u201993, number 765 in Lecture Notes in Computer Science, pages 55\u201364. Springer-Verlag, 1993."},{"key":"34_CR21","series-title":"Lect Notes Comput Sci","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1007\/3-540-47555-9_8","volume-title":"Advances in Cryptology-EUROCRYPT\u201992","author":"K. Nyberg","year":"1993","unstructured":"K. Nyberg. On the construction of highly nonlinear permutations, In Advances in Cryptology-EUROCRYPT\u201992, number 658 in Lecture Notes in Computer Science, pages 92\u201398. Springer-Verlag, 1993."},{"key":"34_CR22","series-title":"Lect Notes Comput Sci","doi-asserted-by":"crossref","first-page":"566","DOI":"10.1007\/3-540-48071-4_41","volume-title":"Advances in Cryptology-CRYPTO\u201992","author":"K. Nyberg","year":"1993","unstructured":"K. Nyberg and L.R. Knudsen. Provable security against differential cryptanalysis. In Advances in Cryptology-CRYPTO\u201992, number 740 in Lecture Notes in Computer Science, pages 566\u2013574. Springer-Verlag, 1993."},{"key":"34_CR23","series-title":"Lect Notes Comput Sci","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1007\/3-540-46796-3_22","volume-title":"Applied Algebra, Algebraic Algorithms and Error-Correcting Codes","author":"H. Tanaka","year":"1999","unstructured":"H. Tanaka, K. Hisamatsu, and T. Kaneko. Strength of MISTY1 without FL function for Higher Order Differential Attack. In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, number 1719 in Lecture Notes in Computer Science, pages 221\u2013230. Springer-Verlag, 1999."}],"container-title":["Lecture Notes in Computer Science","Advances in Cryptology \u2014 EUROCRYPT 2002"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-46035-7_34","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,2,21]],"date-time":"2019-02-21T11:00:18Z","timestamp":1550746818000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-46035-7_34"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002]]},"ISBN":["9783540435532","9783540460350"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/3-540-46035-7_34","relation":{},"ISSN":["0302-9743"],"issn-type":[{"value":"0302-9743","type":"print"}],"subject":[],"published":{"date-parts":[[2002]]}}}