{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T10:10:45Z","timestamp":1772014245681,"version":"3.50.1"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,12,12]],"date-time":"2024-12-12T00:00:00Z","timestamp":1733961600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,12,12]],"date-time":"2024-12-12T00:00:00Z","timestamp":1733961600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["62171479, 61971452"],"award-info":[{"award-number":["62171479, 61971452"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100005416","name":"Research Council of Norway","doi-asserted-by":"crossref","award":["311646\/O7"],"award-info":[{"award-number":["311646\/O7"]}],"id":[{"id":"10.13039\/501100005416","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cryptogr. Commun."],"published-print":{"date-parts":[[2026,1]]},"DOI":"10.1007\/s12095-024-00764-5","type":"journal-article","created":{"date-parts":[[2024,12,12]],"date-time":"2024-12-12T00:14:17Z","timestamp":1733962457000},"page":"27-44","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A direct method for calculating the differential spectrum of an APN power mapping"],"prefix":"10.1007","volume":"18","author":[{"given":"Yongbo","family":"Xia","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Furong","family":"Bao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shaoping","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tor","family":"Helleseth","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,12,12]]},"reference":[{"issue":"2","key":"764_CR1","first-page":"149","volume":"1","author":"C Blondeau","year":"2010","unstructured":"Blondeau, C., Canteaut, A., Charpin, P.: Differential properties of power functions. Int. J. Inf. Coding Theory 1(2), 149\u2013170 (2010)","journal-title":"Int. J. Inf. Coding Theory"},{"issue":"12","key":"764_CR2","doi-asserted-by":"publisher","first-page":"8127","DOI":"10.1109\/TIT.2011.2169129","volume":"57","author":"C Blondeau","year":"2011","unstructured":"Blondeau, C., Canteaut, A., Charpin, P.: Differential properties of $${x\\mapsto x^{2^{t}-1}}$$. IEEE Trans. Inf. Theory 57(12), 8127\u20138137 (2011)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"764_CR3","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1007\/s10623-014-9948-2","volume":"73","author":"C Blondeau","year":"2014","unstructured":"Blondeau, C., Perrin, L.: More differentially $$6$$-uniform power functions. Des. Codes Cryptogr. 73(2), 487\u2013505 (2014)","journal-title":"Des. Codes Cryptogr."},{"issue":"6","key":"764_CR4","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1007\/s10623-018-0496-z","volume":"87","author":"C Boura","year":"2019","unstructured":"Boura, C., Canteaut, A., Jean, J., Suder, V.: Two notions of differential equivalence on Sboxes. Des. Codes Cryptogr. 87(6), 185\u2013202 (2019)","journal-title":"Des. Codes Cryptogr."},{"key":"764_CR5","volume-title":"Construction and Analysis of Cryptographic Functions","author":"L Budaghyan","year":"2015","unstructured":"Budaghyan, L.: Construction and Analysis of Cryptographic Functions. Springer, Cham (2015)"},{"key":"764_CR6","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1016\/j.ffa.2013.01.002","volume":"21","author":"ST Choi","year":"2013","unstructured":"Choi, S.T., Hong, S., No, J.S., Chung, H.: Differential spectrum of some power functions in odd prime characteristic. Finite Fields Appl. 21, 11\u201329 (2013)","journal-title":"Finite Fields Appl."},{"issue":"2","key":"764_CR7","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1109\/18.748997","volume":"45","author":"T Helleseth","year":"1999","unstructured":"Helleseth, T., Rong, C., Sandberg, D.: New families of almost perfect nonlinear power mappings. IEEE Trans. Inf. Theory 45(2), 475\u2013485 (1999)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"764_CR8","volume-title":"Finite Fields, Encyclopedia of Mathematics and Its Applications","author":"R Lidl","year":"1997","unstructured":"Lidl, R., Niederreiter, H.: Finite Fields, Encyclopedia of Mathematics and Its Applications, vol. 20. Cambridge University Press, Cambridge U.K (1997)"},{"key":"764_CR9","doi-asserted-by":"crossref","unstructured":"Nyberg, K.: Differentially uniform mappings for cryptography. In: Advances in cryptology-EUROCRYPT\u201993. Lecture Notes in Computer Science, vol. 765, pp. 55\u201364. Springer-Verlag, Berlin, Germany (1994)","DOI":"10.1007\/3-540-48285-7_6"},{"issue":"8","key":"764_CR10","doi-asserted-by":"publisher","first-page":"2755","DOI":"10.1007\/s10623-023-01218-4","volume":"91","author":"X Tan","year":"2023","unstructured":"Tan, X., Yan, H.: Differential spectrum of a class of APN power functions. Des. Codes Cryptogr. 91(8), 2755\u20132768 (2023)","journal-title":"Des. Codes Cryptogr."},{"issue":"8","key":"764_CR11","doi-asserted-by":"publisher","first-page":"6076","DOI":"10.1109\/TIT.2024.3408882","volume":"70","author":"Y Xia","year":"2024","unstructured":"Xia, Y., Bao, F., Chen, S., Li, C., Helleseth, T.: More differential properties of the Ness-Helleseth function. IEEE Trans. Inf. Theory 70(8), 6076\u20136090 (2024)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"8","key":"764_CR12","doi-asserted-by":"publisher","first-page":"5535","DOI":"10.1109\/TIT.2022.3162334","volume":"68","author":"H Yan","year":"2022","unstructured":"Yan, H., Xia, Y., Li, C., Helleseth, T., Xiong, M., Luo, J.: The differential spectrum of the power mapping $$x^{p^n-3}$$. IEEE Trans. Inf. Theory 68(8), 5535\u20135547 (2022)","journal-title":"IEEE Trans. Inf. Theory"}],"container-title":["Cryptography and Communications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-024-00764-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12095-024-00764-5","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-024-00764-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T09:19:56Z","timestamp":1772011196000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12095-024-00764-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,12]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,1]]}},"alternative-id":["764"],"URL":"https:\/\/doi.org\/10.1007\/s12095-024-00764-5","relation":{},"ISSN":["1936-2447","1936-2455"],"issn-type":[{"value":"1936-2447","type":"print"},{"value":"1936-2455","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,12,12]]},"assertion":[{"value":"15 September 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 November 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 December 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}]}}