{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T15:45:08Z","timestamp":1761061508640},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2021,10,15]],"date-time":"2021-10-15T00:00:00Z","timestamp":1634256000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,10,15]],"date-time":"2021-10-15T00:00:00Z","timestamp":1634256000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[2023,11]]},"DOI":"10.1007\/s00200-021-00528-1","type":"journal-article","created":{"date-parts":[[2021,10,15]],"date-time":"2021-10-15T18:32:31Z","timestamp":1634322751000},"page":"897-912","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A new class of differential 4-uniform permutations from exponential permutation"],"prefix":"10.1007","volume":"34","author":[{"given":"R. K.","family":"Sharma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P. R.","family":"Mishra","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yogesh","family":"Kumar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,10,15]]},"reference":[{"key":"528_CR1","unstructured":"Bai, J., Wang, D.: A new class of differentially 4-uniform permutations from the inverse function. http:\/\/eprint.iacr.org\/2016\/941.pdf (2016)"},{"key":"528_CR2","doi-asserted-by":"crossref","unstructured":"Biham, E., Shamir, A.: Differential cryptanalysis of DES-like cryptosystems (extended abstract). In: A.\u00a0Menezes, S.A. Vanstone (eds) Adv. Cryptol.-CRYPTO\u201990,10th Annu. Int. Cryptol. Conf, volume 537 of Santa Barbara, CA, Lecture Notes in Computer Science, pp. 2\u201321. Springer, Berlin (1991)","DOI":"10.1007\/3-540-38424-3_1"},{"key":"528_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: Finite Fields: Theory and Applications, Volume 518 of Contemporary Mathematics, pp. 33\u201342. American Mathematical Soceity (2010)","DOI":"10.1090\/conm\/518\/10194"},{"key":"528_CR4","doi-asserted-by":"crossref","unstructured":"Dolmatov, V.: Ed., GOST 28147-89: encryption, decryption, and message authentication code (MAC) algorithms. RFC 5830, IETF. http:\/\/www.ietf.org\/rfc\/rfc5830.txt?number=5830 (2010)","DOI":"10.17487\/rfc5830"},{"key":"528_CR5","doi-asserted-by":"publisher","first-page":"3320","DOI":"10.1016\/j.dam.2009.06.029","volume":"157","author":"K Drakakis","year":"2009","unstructured":"Drakakis, K., Gow, R., McGuire, G.: APN permutations on $$\\mathbb{Z}_n$$ and Costas arrays. Discret. Appl. Math. 157, 3320\u20133326 (2009)","journal-title":"Discret. Appl. Math."},{"issue":"3","key":"528_CR6","doi-asserted-by":"publisher","first-page":"1230","DOI":"10.1109\/TIT.2009.2039164","volume":"56","author":"K Drakakis","year":"2010","unstructured":"Drakakis, K., Requena, V., McGuire, G.: On the nonlinearity of exponential welch costas functions. IEEE Trans. Inf. Theory 56(3), 1230\u20131238 (2010)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"528_CR7","unstructured":"Li, Y.Q., Wang, M.S., Yu, Y.Y.: Constructing differentially 4-uniform permutations over $$\\mathbb{F}_{2^{2k}}$$ from the inverse function revisited. https:\/\/eprint.iacr.org\/2013\/731.pdf. (2013)"},{"key":"528_CR8","doi-asserted-by":"crossref","unstructured":"Massey, J.L.: SAFER K-64: a byte-oriented block ciphering algorithm. In: Fast Software Encryption 1993, Volume 809 of LNCS, pp. 1\u201317 (1994)","DOI":"10.1007\/3-540-58108-1_1"},{"key":"528_CR9","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1007\/978-3-662-53008-5_4","volume-title":"Advances in Cryptology\u2013CRYPTO 2016","author":"L Perrin","year":"2016","unstructured":"Perrin, L., Udovenko, A., Biryukov, A.: Cryptanalysis of a theorem: decomposing the only known solution to the Big APN problem. In: Robshaw, M., Katz, J. (eds.) Advances in Cryptology\u2013CRYPTO 2016, pp. 93\u2013122. Springer, Berlin, Heidelberg (2016)"},{"key":"528_CR10","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/S0166-218X(03)00293-2","volume":"138","author":"A Pott","year":"2004","unstructured":"Pott, A.: Nonlinear functions in abelian groups and relative difference sets. Discret. Appl. Math. 138, 177\u2013193 (2004)","journal-title":"Discret. Appl. Math."},{"issue":"7","key":"528_CR11","doi-asserted-by":"publisher","first-page":"4675","DOI":"10.1109\/TIT.2013.2252420","volume":"59","author":"LJ Qu","year":"2013","unstructured":"Qu, L.J., Tan, Y., Tan, C.H., 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"},{"issue":"1","key":"528_CR12","doi-asserted-by":"publisher","first-page":"97","DOI":"10.3934\/amc.2020008","volume":"14","author":"G Xu","year":"2020","unstructured":"Xu, G., Qu, L.: Two classes of differentially 4-uniform permutations over $$\\mathbb{ F}_{2^n}$$ with n even. Adv. Math. Commun. 14(1), 97\u2013110 (2020)","journal-title":"Adv. Math. Commun."},{"issue":"3","key":"528_CR13","first-page":"495","volume":"22","author":"YY Yu","year":"2013","unstructured":"Yu, Y.Y., Wang, M.S., Li, Y.Q.: Constructing differential 4-uniform permutations from known ones. Chin. J. Electron. 22(3), 495\u2013499 (2013)","journal-title":"Chin. J. Electron."},{"key":"528_CR14","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1016\/j.ffa.2013.08.003","volume":"25","author":"Z Zha","year":"2014","unstructured":"Zha, Z., Hu, L., Sun, S.: Constructing new differentially 4-uniform permutations from the inverse function. Finite Fields Appl. 25, 64\u201378 (2014)","journal-title":"Finite Fields Appl."}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-021-00528-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00200-021-00528-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-021-00528-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,10]],"date-time":"2023-10-10T16:04:22Z","timestamp":1696953862000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00200-021-00528-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,15]]},"references-count":14,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2023,11]]}},"alternative-id":["528"],"URL":"https:\/\/doi.org\/10.1007\/s00200-021-00528-1","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,10,15]]},"assertion":[{"value":"9 June 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 September 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 September 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 October 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}