{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,12]],"date-time":"2024-06-12T11:53:09Z","timestamp":1718193189535},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[2019,8]]},"DOI":"10.1007\/s00200-018-0376-9","type":"journal-article","created":{"date-parts":[[2018,12,31]],"date-time":"2018-12-31T22:41:35Z","timestamp":1546296095000},"page":"333-347","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["New quadratic bent functions in polynomial forms with coefficients in extension fields"],"prefix":"10.1007","volume":"30","author":[{"given":"Dongmei","family":"Huang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunming","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanfeng","family":"Qi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maozhi","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,1,1]]},"reference":[{"key":"376_CR1","volume-title":"Algebraic Coding Theory","author":"ER Berlekamp","year":"1984","unstructured":"Berlekamp, E.R.: Algebraic Coding Theory, revised edn. Aegean Park, Laguna Hills (1984)","edition":"revised"},{"key":"376_CR2","doi-asserted-by":"publisher","first-page":"532","DOI":"10.1109\/18.312181","volume":"40","author":"S Boztas","year":"1994","unstructured":"Boztas, S., Kumar, P.V.: Binary sequences with Gold-like correlation but larger linear span. IEEE Trans. Inf. Theory 40, 532\u2013537 (1994)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"8","key":"376_CR3","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"},{"key":"376_CR4","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1007\/3-540-45708-9_35","volume-title":"Advances in Cryptology-CRYPTO 2002. Lecture Notes in Computer Science","author":"C Carlet","year":"2002","unstructured":"Carlet, C.: A larger class of cryptographic Boolean functions via a study of the Maiorana\u2013McFarland construction. In: Yung, M. (ed.) Advances in Cryptology-CRYPTO 2002. Lecture Notes in Computer Science, vol. 2442, pp. 549\u2013564. Springer, Berlin (2002)"},{"key":"376_CR5","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.A.: Codes, bent functions and permutations suitable for DES-like cryptosystem. Des. Codes. Cryptogr. 15, 125\u2013156 (1998)","journal-title":"Des. Codes. Cryptogr."},{"issue":"12","key":"376_CR6","doi-asserted-by":"publisher","first-page":"4286","DOI":"10.1109\/TIT.2005.858929","volume":"51","author":"P Charpin","year":"2005","unstructured":"Charpin, P., Pasalic, E., Tavernier, C.: On bent and semi-bent quadratic Boolean functions. IEEE Trans. Inf. Theory 51(12), 4286\u20134298 (2005)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"376_CR7","doi-asserted-by":"publisher","first-page":"779","DOI":"10.1016\/j.jcta.2005.07.009","volume":"113","author":"H Dobbertin","year":"2006","unstructured":"Dobbertin, H., Leander, G., Canteaut, A., Carlet, C., Felke, P., Gaborit, P.: Construction of bent functions via Niho power functions. J. Comb. Theory, Ser. A 113, 779\u2013798 (2006)","journal-title":"J. Comb. Theory, Ser. A"},{"issue":"1","key":"376_CR8","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1109\/TIT.1968.1054106","volume":"14","author":"R Gold","year":"1968","unstructured":"Gold, R.: Maximal recursive sequences with 3-valued recursive crosscorrelation functions. IEEE Trans. Inf. Theory 14(1), 154\u2013156 (1968)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"376_CR9","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546907","volume-title":"Signal Design for Good Correlation: for Wireless Communication, Cryptography and Radar","author":"SW Golomb","year":"2005","unstructured":"Golomb, S.W., Gong, G.: Signal Design for Good Correlation: for Wireless Communication, Cryptography and Radar. Cambridge University Press, Cambridge (2005)"},{"issue":"7","key":"376_CR10","doi-asserted-by":"publisher","first-page":"2610","DOI":"10.1109\/TIT.2007.899553","volume":"53","author":"H Hu","year":"2007","unstructured":"Hu, H., Feng, D.: On quadratic bent functions in polynomial forms. IEEE Trans. Inf. Theory 53(7), 2610\u20132615 (2007)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"376_CR11","first-page":"1765","volume-title":"Handbook of Coding Theory","author":"T Helleseth","year":"1998","unstructured":"Helleseth, T., Kumar, P.V.: Sequences with low correlation. In: Pless, V.S., Huffman, W.C. (eds.) Handbook of Coding Theory, vol. 2, pp. 1765\u20131853. North-Holland, Amsterdam (1998)"},{"issue":"2","key":"376_CR12","doi-asserted-by":"publisher","first-page":"738","DOI":"10.1109\/TIT.2005.862121","volume":"52","author":"G Leander","year":"2006","unstructured":"Leander, G.: Monomial bent functions. IEEE Trans. Inf. Theory 52(2), 738\u2013743 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"376_CR13","volume-title":".). Encyclopedia of Mathematics and Its Applications","author":"R Lidl","year":"1983","unstructured":"Lidl, R., Niederreiter, H.: Finite fields. In: Lidl, R., Niederreiter, H., Cohn, P.M. (eds.).). Encyclopedia of Mathematics and Its Applications, 20th edn. Addison-Wesley, Reading (1983)","edition":"20"},{"key":"376_CR14","unstructured":"Khoo, K., Gong, G., Stinson, D.R.: A new family of Gold-like sequences. In: Proceedings of IEEE International Symposium Information Theory, Lausanne, Switzerland, p. 181 (2002)"},{"issue":"2","key":"376_CR15","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1007\/s10623-005-6345-x","volume":"38","author":"K Khoo","year":"2006","unstructured":"Khoo, K., Gong, G., Stinson, D.R.: A new characterization of semi-bent and bent functions on finite fields. Des. Codes. Cryptogr. 38(2), 279\u2013295 (2006)","journal-title":"Des. Codes. Cryptogr."},{"issue":"11","key":"376_CR16","doi-asserted-by":"publisher","first-page":"3059","DOI":"10.1109\/TIT.2003.818399","volume":"49","author":"SH Kim","year":"2003","unstructured":"Kim, S.H., No, J.S.: New families of binary sequences with low correlation. IEEE Trans. Inf. Theory 49(11), 3059\u20133065 (2003)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"376_CR17","doi-asserted-by":"publisher","first-page":"865","DOI":"10.1109\/TIT.1982.1056590","volume":"28","author":"A Lempel","year":"1982","unstructured":"Lempel, A., Cohn, M.: Maximal families of bent sequences. IEEE Trans. Inf. Theory 28, 865\u2013868 (1982)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"7","key":"376_CR18","doi-asserted-by":"publisher","first-page":"2039","DOI":"10.1093\/ietfec\/e88-a.7.2039","volume":"E88\u2013A","author":"W Ma","year":"2005","unstructured":"Ma, W., Lee, M., Zhang, F.: A new class of bent functions. IEICE Trans. Fundam. E88\u2013A(7), 2039\u20132040 (2005)","journal-title":"IEICE Trans. Fundam."},{"key":"376_CR19","volume-title":"The Theory of Error-Correcting Codes","author":"FJ MacWilliams","year":"1977","unstructured":"MacWilliams, F.J., Sloane, N.J.A.: The Theory of Error-Correcting Codes. North-Holland, Amsterdam (1977)"},{"key":"376_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-1983-2","volume-title":"Finite Fields for Computer Scientists and Engineers","author":"RJ McEliece","year":"1987","unstructured":"McEliece, R.J.: Finite Fields for Computer Scientists and Engineers. Kluwer, Dordrecht (1987)"},{"key":"376_CR21","doi-asserted-by":"publisher","first-page":"480","DOI":"10.2307\/1968173","volume":"34","author":"O Ore","year":"1933","unstructured":"Ore, O.: Theory of non-commutative polynomials. Ann. Math. 34, 480\u2013508 (1933)","journal-title":"Ann. Math."},{"key":"376_CR22","doi-asserted-by":"publisher","first-page":"559","DOI":"10.1090\/S0002-9947-1933-1501703-0","volume":"35","author":"O Ore","year":"1933","unstructured":"Ore, O.: On a special class of polynomials. Trans. Am. Math. Soc. 35, 559\u2013584 (1933)","journal-title":"Trans. Am. Math. Soc."},{"issue":"6","key":"376_CR23","doi-asserted-by":"publisher","first-page":"858","DOI":"10.1109\/TIT.1982.1056589","volume":"28","author":"JD Olsen","year":"1982","unstructured":"Olsen, J.D., Scholtz, R.A., Welch, L.R.: Bent-function sequences. IEEE Trans. Inf. Theory 28(6), 858\u2013864 (1982)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"376_CR24","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1016\/0097-3165(76)90024-8","volume":"20","author":"OS Rothaus","year":"1976","unstructured":"Rothaus, O.S.: On bent functions. J. Comb. Theory A 20, 300\u2013305 (1976)","journal-title":"J. Comb. Theory A"},{"key":"376_CR25","unstructured":"Udaya, P.: Polyphase and frequency hopping sequences obtained from finite rings, Ph.D. Dissertation, Department of Electrical Engineering, Indian Institute of Technology, Kanpur, India (1992)"},{"key":"376_CR26","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/j.ffa.2013.03.003","volume":"22","author":"B Wu","year":"2013","unstructured":"Wu, B., Liu, Z.: Linearized polynomials over finite fields revisited. Finite Fields Appl. 22, 79\u2013100 (2013)","journal-title":"Finite Fields Appl."},{"issue":"7","key":"376_CR27","doi-asserted-by":"publisher","first-page":"3291","DOI":"10.1109\/TIT.2006.876251","volume":"52","author":"NY Yu","year":"2006","unstructured":"Yu, N.Y., Gong, G.: Constructions of quadratic bent functions in polynomial forms. IEEE Trans. Inf. Theory 52(7), 3291\u20133299 (2006)","journal-title":"IEEE Trans. Inf. Theory"}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-018-0376-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00200-018-0376-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-018-0376-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:40:12Z","timestamp":1577839212000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00200-018-0376-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1,1]]},"references-count":27,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2019,8]]}},"alternative-id":["376"],"URL":"https:\/\/doi.org\/10.1007\/s00200-018-0376-9","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1,1]]},"assertion":[{"value":"7 September 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 November 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 December 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 January 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}