{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T11:32:20Z","timestamp":1780054340106,"version":"3.54.0"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2022,3,28]],"date-time":"2022-03-28T00:00:00Z","timestamp":1648425600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,3,28]],"date-time":"2022-03-28T00:00:00Z","timestamp":1648425600000},"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":["Cryptogr. Commun."],"published-print":{"date-parts":[[2022,11]]},"DOI":"10.1007\/s12095-022-00566-7","type":"journal-article","created":{"date-parts":[[2022,3,28]],"date-time":"2022-03-28T17:03:01Z","timestamp":1648486981000},"page":"1229-1256","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Constructing new superclasses of bent functions from known ones"],"prefix":"10.1007","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3568-4321","authenticated-orcid":false,"given":"Amar","family":"Bapi\u0107","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Enes","family":"Pasalic","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fengrong","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Samir","family":"Hod\u017ei\u0107","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,3,28]]},"reference":[{"key":"566_CR1","doi-asserted-by":"crossref","unstructured":"Zhang, F., Cepak, N., Pasalic, E., Wei, Y.: Bent functions in C and D stemming from Maiorana-McFarland class. In Codes, Cryptology and Information Security. C2SI 2017. Lecture Notes in Computer Science, 10194, 298\u2013313. (2017)","DOI":"10.1007\/978-3-319-55589-8_20"},{"issue":"1","key":"566_CR2","doi-asserted-by":"publisher","first-page":"458","DOI":"10.1016\/j.dam.2020.06.012","volume":"285","author":"F Zhang","year":"2020","unstructured":"Zhang, F., Cepak, N., Pasalic, E., Wei, Y.: Further analysis of bent functions from C and D which are provably outside or inside M#. Discret. Appl. Math. 285(1), 458\u2013472 (2020)","journal-title":"Discret. Appl. Math."},{"key":"566_CR3","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/3-540-48285-7_8","volume":"765","author":"C Carlet","year":"1993","unstructured":"Carlet, C.: Two new classes of bent functions. In Lecture Notes in Computer Science 765, 77\u2013101 (1993)","journal-title":"In Lecture Notes in Computer Science"},{"key":"566_CR4","doi-asserted-by":"crossref","unstructured":"Rothaus, O.: On bent functions. J. Comb. Theory, Ser. A, 20(3), 300-305. (1976)","DOI":"10.1016\/0097-3165(76)90024-8"},{"key":"566_CR5","doi-asserted-by":"crossref","unstructured":"Carlet, C.: Boolean Functions for Cryptography and Coding Theory. Cambridge University Press (2021)","DOI":"10.1017\/9781108606806"},{"key":"566_CR6","doi-asserted-by":"crossref","unstructured":"Mesnager, S.: Bent functions - Fundamentals and Results. Springer. (2016)","DOI":"10.1007\/978-3-319-32595-8"},{"key":"566_CR7","doi-asserted-by":"crossref","unstructured":"Tokareva, N.: Bent Functions: Results and Applications to Cryptography. Academic Press (2015)","DOI":"10.1016\/B978-0-12-802318-1.00002-9"},{"issue":"1","key":"566_CR8","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1007\/s10623-015-0145-8","volume":"78","author":"C Carlet","year":"2016","unstructured":"Carlet, C., Mesnager, S.: Four decades of research on bent functions. Des. Codes Cryptogr. 78(1), 5\u201350 (2016)","journal-title":"Des. Codes Cryptogr."},{"key":"566_CR9","unstructured":"Dillon, J.: Elementary Hadamard Difference Sets. PhD thesis, University of Maryland. (1974)"},{"key":"566_CR10","doi-asserted-by":"crossref","unstructured":"McFarland, R.L.: A family of difference sets in non-cyclic groups. J. Comb. Theory, Ser. A, 15(1): 1\u201310. (1973)","DOI":"10.1016\/0097-3165(73)90031-9"},{"key":"566_CR11","doi-asserted-by":"crossref","unstructured":"Dobbertin, H.: Construction of bent functions and balanced Boolean functions with high nonlinearity. In B.\u00a0Preneel, editor, Fast Software Encryption, pages 61\u201374, Berlin, Heidelberg. Springer Berlin Heidelberg. (1995)","DOI":"10.1007\/3-540-60590-8_5"},{"issue":"1","key":"566_CR12","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1007\/s10623-010-9455-z","volume":"59","author":"P Langevin","year":"2011","unstructured":"Langevin, P., Leander, G.: Counting all bent functions in dimension eight 99270589265934370305785861242880. Des. Codes Cryptogr. 59(1), 193\u2013205 (2011)","journal-title":"Des. Codes Cryptogr."},{"key":"566_CR13","doi-asserted-by":"crossref","unstructured":"Kudin, S., Pasalic, E., Cepak, N., Zhang, F.: Permutations without linear structures inducing bent functions outside the completed Maiorana-McFarland class. Cryptogr. Commun. (2021)","DOI":"10.1007\/s12095-021-00523-w"},{"issue":"8","key":"566_CR14","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1016\/j.dam.2021.02.003","volume":"294","author":"E Pasalic","year":"2021","unstructured":"Pasalic, E., Zhang, F., Kudin, S., Wei, Y.: Vectorial bent functions weakly\/strongly outside the completed Maiorana-McFarland class. Discret. Appl. Math. 294(8), 138\u2013151 (2021)","journal-title":"Discret. Appl. Math."},{"key":"566_CR15","doi-asserted-by":"crossref","unstructured":"Bapi\u0107,\u00a0A., Pasalic, E.: Constructions of (vectorial) bent functions outside the completed Maiorana-McFarland class. Submitted to Discret. Appl. Math. (2021)","DOI":"10.1016\/j.dam.2021.02.003"},{"issue":"8","key":"566_CR16","doi-asserted-by":"publisher","first-page":"2004","DOI":"10.1109\/TIT.2003.814476","volume":"49","author":"A Canteaut","year":"2003","unstructured":"Canteaut, A., Charpin, P.: Decomposing bent functions. IEEE Trans. Inf. Theory 49(8), 2004\u20132019 (2003)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"11","key":"566_CR17","doi-asserted-by":"publisher","first-page":"7554","DOI":"10.1109\/TIT.2019.2910808","volume":"65","author":"S Hod\u017ei\u0107","year":"2019","unstructured":"Hod\u017ei\u0107, S., Pasalic, E., Zhang, W.: Generic constructions of five-valued spectra Boolean functions. IEEE Trans. Inf. Theory 65(11), 7554\u20137565 (2019)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"566_CR18","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1023\/A:1008344232130","volume":"15","author":"C Carlet","year":"1998","unstructured":"Carlet, C., Charpin, P., Zinoviev, V.: Codes, bent functions and permutations suitable for DES-like cryptosystems. Des. Codes Cryptogr. 15(2), 125\u2013156 (1998)","journal-title":"Des. Codes Cryptogr."},{"issue":"3","key":"566_CR19","doi-asserted-by":"publisher","first-page":"1141","DOI":"10.1109\/TIT.2005.864481","volume":"52","author":"L Budaghyan","year":"2006","unstructured":"Budaghyan, L., Carlet, C., Pott, A.: New classes of almost bent and almost perfect nonlinear polynomials. IEEE Trans. Inf. Theory 52(3), 1141\u20131152 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"566_CR20","doi-asserted-by":"publisher","first-page":"202","DOI":"10.1016\/j.dam.2005.03.027","volume":"154","author":"A Canteaut","year":"2006","unstructured":"Canteaut, A., Daum, M., Dobbertin, H., Leander, G.: Finding nonnormal bent functions. Discret. Appl. Math. 154(2), 202\u2013218 (2006)","journal-title":"Discret. Appl. Math."},{"issue":"10","key":"566_CR21","doi-asserted-by":"publisher","first-page":"6149","DOI":"10.1109\/TIT.2017.2717966","volume":"63","author":"C Tang","year":"2017","unstructured":"Tang, C., Zhou, Z., Qi, Y., Zhang, X., Fan, C., Helleseth, T.: Generic construction of bent functions and bent idempotents with any possible algebraic degrees. IEEE Trans. Inf. Theory 63(10), 6149\u20136157 (2017)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"3","key":"566_CR22","doi-asserted-by":"publisher","first-page":"271","DOI":"10.3233\/FI-2016-1386","volume":"146","author":"B Mandal","year":"2016","unstructured":"Mandal, B., St\u01cenic\u01ce, P., Gangopadhyay, S., Pasalic, E.: An analysis of the C class of bent functions. Fundam. Inform. 146(3), 271\u2013292 (2016)","journal-title":"Fundam. Inform."},{"key":"566_CR23","doi-asserted-by":"crossref","unstructured":"Zheng, L., Kan, H., Peng, J., Tang, D.: Constructing vectorial bent functions via second-order derivatives. Discrete Math. 344(8), 112473 (2021)","DOI":"10.1016\/j.disc.2021.112473"},{"issue":"7","key":"566_CR24","doi-asserted-by":"publisher","first-page":"4397","DOI":"10.1109\/TIT.2014.2320974","volume":"60","author":"S Mesnager","year":"2014","unstructured":"Mesnager, S.: Several new infinite families of bent functions and their duals. IEEE Trans. Inf. Theory 60(7), 4397\u20134407 (2014)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"1","key":"566_CR25","doi-asserted-by":"publisher","first-page":"2007","DOI":"10.1007\/s10623-020-00760-9","volume":"88","author":"S Hod\u017ei\u0107","year":"2020","unstructured":"Hod\u017ei\u0107, S., Pasalic, E., Wei, Y.: A general framework for secondary constructions of bent and plateaued functions. Des. Codes Cryptogr. 88(1), 2007\u20132035 (2020)","journal-title":"Des. Codes Cryptogr."}],"container-title":["Cryptography and Communications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-022-00566-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12095-022-00566-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-022-00566-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,3]],"date-time":"2024-06-03T16:22:26Z","timestamp":1717431746000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12095-022-00566-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3,28]]},"references-count":25,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2022,11]]}},"alternative-id":["566"],"URL":"https:\/\/doi.org\/10.1007\/s12095-022-00566-7","relation":{},"ISSN":["1936-2447","1936-2455"],"issn-type":[{"value":"1936-2447","type":"print"},{"value":"1936-2455","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,3,28]]},"assertion":[{"value":"19 October 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 February 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 March 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}