{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T12:58:26Z","timestamp":1772283506579,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642306143","type":"print"},{"value":"9783642306150","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-30615-0_3","type":"book-chapter","created":{"date-parts":[[2012,6,27]],"date-time":"2012-06-27T12:54:41Z","timestamp":1340801681000},"page":"25-39","source":"Crossref","is-referenced-by-count":9,"title":["New Families of Differentially 4-Uniform Permutations over ${\\mathbb F}_{2^{2k}}$"],"prefix":"10.1007","author":[{"given":"Yin","family":"Tan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Longjiang","family":"Qu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chik How","family":"Tan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"1","key":"3_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. Journal of Cryptology\u00a04(1), 3\u201372 (1991)","journal-title":"Journal of Cryptology"},{"issue":"2","key":"3_CR2","doi-asserted-by":"publisher","first-page":"150","DOI":"10.1016\/j.ffa.2008.10.001","volume":"15","author":"L. Budaghyan","year":"2009","unstructured":"Budaghyan, L., Carlet, C., Leander, G.: Constructing new APN functions from known ones. Finite Fields and Their Applications\u00a015(2), 150\u2013159 (2009)","journal-title":"Finite Fields and Their Applications"},{"issue":"3","key":"3_CR3","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1016\/j.ffa.2011.11.006","volume":"18","author":"C. Bracken","year":"2012","unstructured":"Bracken, C., Tan, C.H., Tan, Y.: Binomial differentially 4-uniform permutations with high nonlinearity. Finite Fields and Their Applications\u00a018(3), 537\u2013546 (2012)","journal-title":"Finite Fields and Their Applications"},{"key":"3_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.\u00a06812, pp. 1\u201315. Springer, Heidelberg (2011)"},{"key":"3_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"368","DOI":"10.1007\/978-3-540-85912-3_32","volume-title":"Sequences and Their Applications - SETA 2008","author":"P. Charpin","year":"2008","unstructured":"Charpin, P., Kyureghyan, G.M.: On a Class of Permutation Polynomials over \n                    \n                      \n                    \n                    $\\mathbb{F}_{2^n}$\n                  . In: Golomb, S.W., Parker, M.G., Pott, A., Winterhof, A. (eds.) SETA 2008. LNCS, vol.\u00a05203, pp. 368\u2013376. Springer, Heidelberg (2008)"},{"issue":"2","key":"3_CR6","doi-asserted-by":"publisher","first-page":"615","DOI":"10.1016\/j.ffa.2009.07.001","volume":"15","author":"P. Charpin","year":"2009","unstructured":"Charpin, P., Kyureghyan, G.M.: When does G(x)\u2009+\u2009\u03b3Tr(H(x)) permute \n                    \n                      \n                    \n                    ${\\mathbb F}_{p^n}$\n                  . Finite Fields and Their Applications\u00a015(2), 615\u2013632 (2009)","journal-title":"Finite Fields and Their Applications"},{"key":"3_CR7","unstructured":"Dillon, J.F.: APN polynomials: an update. In: Conference Finite Fields and Applications, Fq9, Dublin, Ireland (2009)"},{"key":"3_CR8","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1023\/A:1008399109102","volume":"22","author":"S. Dubuc","year":"2001","unstructured":"Dubuc, S.: Characterization of linear structures. Desings, Codes and Cryptography\u00a022, 33\u201345 (2001)","journal-title":"Desings, Codes and Cryptography"},{"issue":"1","key":"3_CR9","doi-asserted-by":"publisher","first-page":"59","DOI":"10.3934\/amc.2009.3.59","volume":"3","author":"Y. Edel","year":"2009","unstructured":"Edel, Y., Pott, A.: A new almost perfect nonlinear function which is not quadratic. Advances in Mathematical Communications\u00a03(1), 59\u201381 (2009)","journal-title":"Advances in Mathematical Communications"},{"key":"3_CR10","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.\u00a01008, pp. 196\u2013211. Springer, Heidelberg (1995)"},{"issue":"3","key":"3_CR11","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 Transaction on Information Theory\u00a036(3), 686\u2013692 (1990)","journal-title":"IEEE Transaction on Information Theory"},{"key":"3_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1007\/3-540-60590-8_6","volume-title":"Fast Software Encryption","author":"X. Lai","year":"1995","unstructured":"Lai, X.: Additivie and Linear Structures of Cryptographic Functions. In: Preneel, B. (ed.) FSE 1994. LNCS, vol.\u00a01008, pp. 75\u201385. Springer, Heidelberg (1995)"},{"key":"3_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1007\/978-3-540-77224-8_17","volume-title":"Applied Algebra, Algebraic Algorithms and Error-Correcting Codes","author":"Y. Laigle-Chapuy","year":"2007","unstructured":"Laigle-Chapuy, Y.: A Note on a Class of Quadratic Permutations over \n                    \n                      \n                    \n                    $\\mathbb{F}_{2^n}$\n                  . In: Bozta\u015f, S., Lu, H.-F(F.) (eds.) AAECC 2007. LNCS, vol.\u00a04851, pp. 130\u2013137. Springer, Heidelberg (2007)"},{"key":"3_CR14","doi-asserted-by":"crossref","unstructured":"Lidl, R., Niederreiter, H.: Finite Fields. Encyclopedia of Mathematics and its Applications, vol. 20 (1997)","DOI":"10.1017\/CBO9780511525926"},{"key":"3_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","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.\u00a0765, pp. 386\u2013397. Springer, Heidelberg (1994)"},{"key":"3_CR16","volume-title":"Algebraic function fields and codes (Springer Universitext)","author":"H. Stichtenoth","year":"1993","unstructured":"Stichtenoth, H.: Algebraic function fields and codes (Springer Universitext). Springer, Berlin (1993)"}],"container-title":["Lecture Notes in Computer Science","Sequences and Their Applications \u2013 SETA 2012"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-30615-0_3.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T11:46:33Z","timestamp":1620128793000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-30615-0_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642306143","9783642306150"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-30615-0_3","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}