{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T15:36:52Z","timestamp":1761061012444},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2020,4,6]],"date-time":"2020-04-06T00:00:00Z","timestamp":1586131200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2020,4,6]],"date-time":"2020-04-06T00:00:00Z","timestamp":1586131200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cryptogr. Commun."],"published-print":{"date-parts":[[2020,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Recently Budaghyan et al. (Cryptogr. Commun. <jats:bold>12<\/jats:bold>, 85\u2013100, 2020) introduced a procedure for investigating if CCZ-equivalence can be more general than EA-equivalence together with inverse transformation (when applicable). In this paper, we show that it is possible to use this procedure for classifying, up to EA-equivalence, all known APN functions in dimension 6. We also give some discussion for dimension 7, 8 and 9. In particular, in these cases it is possible to give an upper bound on the EA-classes contained in the CCZ-classes of the known APN functions.<\/jats:p>","DOI":"10.1007\/s12095-020-00427-1","type":"journal-article","created":{"date-parts":[[2020,4,6]],"date-time":"2020-04-06T13:02:41Z","timestamp":1586178161000},"page":"821-840","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["On the EA-classes of known APN functions in small dimensions"],"prefix":"10.1007","volume":"12","author":[{"given":"Marco","family":"Calderini","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,4,6]]},"reference":[{"key":"427_CR1","doi-asserted-by":"crossref","unstructured":"Biryukov, A., Canni\u00e8re, C.D., Braeken, A., Preneel, B.: A toolbox for cryptanalysis: linear and affine equivalence algorithms. 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