{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:00:18Z","timestamp":1772283618322,"version":"3.50.1"},"publisher-location":"Cham","reference-count":14,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319120867","type":"print"},{"value":"9783319120874","type":"electronic"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-319-12087-4_2","type":"book-chapter","created":{"date-parts":[[2014,10,24]],"date-time":"2014-10-24T19:32:54Z","timestamp":1414179174000},"page":"22-38","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["New Construction of Differentially 4-Uniform Bijections"],"prefix":"10.1007","author":[{"given":"Claude","family":"Carlet","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Deng","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaohu","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qunying","family":"Liao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,10,25]]},"reference":[{"issue":"1","key":"2_CR1","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/BF00630563","volume":"4","author":"E Biham","year":"1991","unstructured":"Biham, E., Shamir, A.: Differential cryptanalysis of DES-like cryptosystems. J. Cryptol. 4(1), 3\u201372 (1991)","journal-title":"J. Cryptol."},{"issue":"4","key":"2_CR2","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/j.ffa.2010.03.001","volume":"16","author":"C Bracken","year":"2010","unstructured":"Bracken, C., Leander, G.: A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree. Finite Fields Appl. 16(4), 231\u2013242 (2010)","journal-title":"Finite Fields Appl."},{"key":"2_CR3","doi-asserted-by":"crossref","unstructured":"Browning, K.A., Dillon, J.F., McQuistan, M.T., Wolfe, A.J.: An APN permutation in dimension six. In: Postproceedings of the 9th International Conference on Finite Fields and their Applications Fq\u20199. Contemporary Mathematics Journal of American Mathematical Society, vol. 518, pp. 33\u201342 (2010)","DOI":"10.1090\/conm\/518\/10194"},{"key":"2_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-22497-3_1","volume-title":"Information Security and Privacy","author":"C Carlet","year":"2011","unstructured":"Carlet, C.: On known and new differentially uniform functions. In: Parampalli, U., Hawkes, P. (eds.) ACISP 2011. LNCS, vol. 6812, pp. 1\u201315. Springer, Heidelberg (2011)"},{"issue":"1\u20133","key":"2_CR5","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/s10623-010-9468-7","volume":"59","author":"C Carlet","year":"2011","unstructured":"Carlet, C.: Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions. Des. Codes Cryptogr. 59(1\u20133), 89\u2013109 (2011)","journal-title":"Des. Codes Cryptogr."},{"issue":"7","key":"2_CR6","doi-asserted-by":"publisher","first-page":"1373","DOI":"10.1007\/s11425-013-4647-4","volume":"56","author":"C Carlet","year":"2013","unstructured":"Carlet, C.: More constructions of APN and differentially 4-uniform functions by concatenation. Sci. China Math. 56(7), 1373\u20131384 (2013)","journal-title":"Sci. China Math."},{"key":"2_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1007\/3-540-60590-8_16","volume-title":"Fast Software Encryption","author":"L Knudsen","year":"1995","unstructured":"Knudsen, L.: Truncated and higher order differentials. In: Preneel, B. (ed.) FSE 1994. LNCS, vol. 1008, pp. 196\u2013211. Springer, Heidelberg (1995)"},{"key":"2_CR8","doi-asserted-by":"publisher","unstructured":"Li, Y., Wang, M.: Constructing differentially 4-uniform permutations over $$GF(2^{2m+1})$$ from quadratic APN permutations over $$GF(2^{2m})$$. To appear in Des. Codes Cryptogr. (2012). doi:10.1007\/s10623-012-9760-9","DOI":"10.1007\/s10623-012-9760-9"},{"key":"2_CR9","volume-title":"The Theory of Error-Correcting Codes","author":"FJ MacWilliams","year":"1977","unstructured":"MacWilliams, F.J., Sloane, N.J.: The Theory of Error-Correcting Codes. North Holland, Amsterdam (1977)"},{"key":"2_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"386","DOI":"10.1007\/3-540-48285-7_33","volume-title":"Advances in Cryptology - EUROCRYPT \u201993","author":"M Matsui","year":"1994","unstructured":"Matsui, M.: Linear cryptanalysis method for DES cipher. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 386\u2013397. Springer, Heidelberg (1994)"},{"key":"2_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/3-540-48285-7_6","volume-title":"Advances in Cryptology - EUROCRYPT \u201993","author":"K Nyberg","year":"1994","unstructured":"Nyberg, K.: Differentially uniform mappings for cryptography. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 55\u201364. Springer, Heidelberg (1994)"},{"key":"2_CR12","doi-asserted-by":"publisher","first-page":"656","DOI":"10.1002\/j.1538-7305.1949.tb00928.x","volume":"28","author":"CE Shannon","year":"1949","unstructured":"Shannon, C.E.: Communication theory of secrecy systems. Bell Syst. Tech. J. 28, 656\u2013715 (1949)","journal-title":"Bell Syst. Tech. J."},{"issue":"3","key":"2_CR13","doi-asserted-by":"publisher","first-page":"686","DOI":"10.1109\/18.54892","volume":"36","author":"G Lachaud","year":"1990","unstructured":"Lachaud, G., Wolfmann, J.: The weights of the orthogonals of the extended quadratic binary Goppa codes. IEEE Trans. Inf. Theory 36(3), 686\u2013692 (1990)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"7","key":"2_CR14","doi-asserted-by":"publisher","first-page":"4675","DOI":"10.1109\/TIT.2013.2252420","volume":"59","author":"L Qu","year":"2013","unstructured":"Qu, L., Tan, Y., Tan, C., Li, C.: Constructing Differentially 4-Uniform Permutations over $${\\mathbb{F}}_{2}^{2k}$$ via the Switching Method. IEEE Trans. Inf. Theory 59(7), 4675\u20134686 (2013)","journal-title":"IEEE Trans. Inf. Theory"}],"container-title":["Lecture Notes in Computer Science","Information Security and Cryptology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-12087-4_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T14:42:26Z","timestamp":1676904146000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-12087-4_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783319120867","9783319120874"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-12087-4_2","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]},"assertion":[{"value":"25 October 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}