{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T12:12:52Z","timestamp":1770984772780,"version":"3.50.1"},"reference-count":17,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AMC"],"published-print":{"date-parts":[[2016,11]]},"DOI":"10.3934\/amc.2016037","type":"journal-article","created":{"date-parts":[[2016,11,4]],"date-time":"2016-11-04T18:57:08Z","timestamp":1478285828000},"page":"725-741","source":"Crossref","is-referenced-by-count":7,"title":["Further results on semi-bent functions in polynomial form"],"prefix":"10.3934","volume":"10","author":[{"given":"Xiwang","family":"Cao","sequence":"first","affiliation":[]},{"given":"Hao","family":"Chen","sequence":"first","affiliation":[]},{"given":"Sihem","family":"Mesnager","sequence":"first","affiliation":[]}],"member":"2321","reference":[{"key":"1","doi-asserted-by":"crossref","first-page":"5","DOI":"10.7146\/math.scand.a-11793","article-title":"Explicit evaluation of certain exponential sums,","volume":"44","author":"L. Carlitz","year":"1979","journal-title":"<em>Math. Scand<\/em>"},{"key":"2","first-page":"257","article-title":"Boolean Functions for Cryptography and Error Correcting Codes,","author":"C. Carlet","year":"2010","journal-title":"in <em>Boolean Models and Methods in Mathematics"},{"key":"3","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1016\/j.jcta.2006.06.002","article-title":"The divisibility modulo $24$ of Kloosterman sums of $GF(2^m)$, $m$ odd,","volume":"114","author":"P. Charpin","year":"2007","journal-title":"<em>J. Comb. Theory A<\/em>"},{"key":"4","first-page":"105","article-title":"Semi-bent Functions,","author":"S. Chee","year":"1994","journal-title":"in <em>Int. Conf. Theory Appl. Crypt.<\/em>"},{"key":"5","doi-asserted-by":"publisher","first-page":"342","DOI":"10.1016\/j.ffa.2003.09.003","article-title":"New cyclic difference sets with Singer parameters,","volume":"10","author":"J. F. Dillon","year":"2004","journal-title":"<em>Finite Fields Appl.<\/em>"},{"key":"6","doi-asserted-by":"publisher","first-page":"686","DOI":"10.1109\/18.54892","article-title":"The weights of the orthogonals of the extended quadratic binary Goppa codes,","volume":"36","author":"G. Lachaud","year":"1990","journal-title":"<em>IEEE Trans. IT<\/em>"},{"key":"7","first-page":"186","article-title":"<em>Dickson Polynomials<\/em>,","author":"R. Lidl","year":"1993","journal-title":"Addison-Wesley"},{"key":"8","doi-asserted-by":"publisher","first-page":"738","DOI":"10.1109\/TIT.2005.862121","article-title":"Monomial bent functions,","volume":"52","author":"G. Leander","year":"2006","journal-title":"<em>IEEE Trans. IT<\/em>"},{"key":"9","doi-asserted-by":"publisher","first-page":"5996","DOI":"10.1109\/TIT.2011.2124439","article-title":"Bent and hyper-bent functions in polynomial form and their link with some exponential sums and Dickson polynomials,","volume":"57","author":"S. Mesnager","year":"2011","journal-title":"<em>IEEE Trans. IT<\/em>"},{"key":"10","doi-asserted-by":"publisher","first-page":"7443","DOI":"10.1109\/TIT.2011.2160039","article-title":"Semi-bent functions from Dillon and Niho exponents, Kloosterman sums and Dickson polynomials,","volume":"57","author":"S. Mesnager","year":"2011","journal-title":"<em>IEEE Trans. IT<\/em>"},{"key":"11","article-title":"<em>Contributions on Boolean functions for symmetric cryptography and error correcting codes<\/em>,","author":"S. Mesnager","year":"2012","journal-title":"Habilitation to Direct Research in Mathematics (HDR thesis)"},{"key":"12","doi-asserted-by":"publisher","first-page":"4397","DOI":"10.1109\/TIT.2014.2320974","article-title":"Several new infinite families of bent functions and their duals,","volume":"60","author":"S. Mesnager","year":"2014","journal-title":"<em>IEEE Trans. IT<\/em>"},{"key":"13","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1007\/978-3-319-10683-0_11","article-title":"On semi-bent functions and related plateaued functions over the Galois field $\\mathbb F_{2^n}$,","author":"S. Mesnager","year":"2014","journal-title":"in <em>Open Problems in Mathematics and Computational Science<\/em>"},{"key":"14","doi-asserted-by":"publisher","first-page":"3215","DOI":"10.1109\/TIT.2013.2238580","article-title":"Hyper-bent functions via Dillon-like exponents,","volume":"59","author":"S. Mesnager","year":"2013","journal-title":"<em>IEEE Trans. IT<\/em>"},{"key":"15","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1016\/0097-3165(76)90024-8","article-title":"On bent functions,","volume":"20","author":"O. S. Rothaus","year":"1976","journal-title":"<em>J. Combin.Theory"},{"key":"16","first-page":"60","article-title":"Relationships between bent functions and complementary plateaued functions,","author":"Y. Zheng","year":"1999","journal-title":"in <em>Int. Conf. Inform. Secur. Crypt.<\/em>"},{"key":"17","doi-asserted-by":"publisher","first-page":"284","DOI":"10.1007\/3-540-48892-8_22","article-title":"Plateaued functions,","author":"Y. Zheng","year":"1999","journal-title":"in <em>Int. Conf. Inform. Commun. Secur.<\/em>"}],"container-title":["Advances in Mathematics of Communications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.aimsciences.org\/journals\/displayArticlesnew.jsp?paperID=13235","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,20]],"date-time":"2023-08-20T19:27:04Z","timestamp":1692559624000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.aimsciences.org\/journals\/displayArticlesnew.jsp?paperID=13235"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11]]},"references-count":17,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,11]]}},"URL":"https:\/\/doi.org\/10.3934\/amc.2016037","relation":{},"ISSN":["1930-5346"],"issn-type":[{"value":"1930-5346","type":"print"}],"subject":[],"published":{"date-parts":[[2016,11]]}}}