{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T14:42:25Z","timestamp":1742913745000,"version":"3.40.3"},"publisher-location":"Cham","reference-count":15,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319552262"},{"type":"electronic","value":"9783319552279"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-55227-9_5","type":"book-chapter","created":{"date-parts":[[2017,3,8]],"date-time":"2017-03-08T11:32:52Z","timestamp":1488972772000},"page":"67-74","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Linear Complexity and Expansion Complexity of Some Number Theoretic Sequences"],"prefix":"10.1007","author":[{"given":"Richard","family":"Hofer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arne","family":"Winterhof","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,3,9]]},"reference":[{"key":"5_CR1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546563","volume-title":"Automatic Sequences: Theory, Applications, Generalizations","author":"JP Allouche","year":"2003","unstructured":"Allouche, J.P., Shallit, J.: Automatic Sequences: Theory, Applications, Generalizations. Cambridge University Press, Cambridge (2003)"},{"issue":"55","key":"5_CR2","doi-asserted-by":"publisher","first-page":"65","DOI":"10.2307\/1969420","volume":"2","author":"NC Ankeny","year":"1952","unstructured":"Ankeny, N.C.: The least quadratic non residue. Ann. Math. 2(55), 65\u201372 (1952)","journal-title":"Ann. Math."},{"issue":"1","key":"5_CR3","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1006\/jcta.1996.0088","volume":"76","author":"SR Blackburn","year":"1996","unstructured":"Blackburn, S.R., Etzion, T., Paterson, K.G.: Permutation polynomials, de Bruijn sequences, and linear complexity. J. Comb. Theory Ser. A 76(1), 55\u201382 (1996)","journal-title":"J. Comb. Theory Ser. A"},{"key":"5_CR4","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1112\/S0025579300001157","volume":"4","author":"DA Burgess","year":"1957","unstructured":"Burgess, D.A.: The distribution of quadratic residues and non-residues. Mathematika 4, 106\u2013112 (1957)","journal-title":"Mathematika"},{"issue":"1","key":"5_CR5","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/0304-3975(79)90011-2","volume":"9","author":"G Christol","year":"1979","unstructured":"Christol, G.: Ensembles presque periodiques $$k$$-reconnaissables. Theor. Comput. Sci. 9(1), 141\u2013145 (1979)","journal-title":"Theor. Comput. Sci."},{"issue":"4","key":"5_CR6","doi-asserted-by":"publisher","first-page":"401","DOI":"10.24033\/bsmf.1926","volume":"108","author":"G Christol","year":"1980","unstructured":"Christol, G., Kamae, T., Mend\u00e9s-France, M., Rauzy, G.: Suites alg\u00e9briques, automates et substitutions. Bull. Soc. Math. Fr. 108(4), 401\u2013419 (1980)","journal-title":"Bull. Soc. Math. Fr."},{"key":"5_CR7","doi-asserted-by":"publisher","first-page":"326","DOI":"10.1112\/S146115701200109X","volume":"15","author":"C Diem","year":"2012","unstructured":"Diem, C.: On the use of expansion series for stream ciphers. LMS J. Comput. Math. 15, 326\u2013340 (2012)","journal-title":"LMS J. Comput. Math."},{"issue":"1","key":"5_CR8","doi-asserted-by":"publisher","first-page":"237","DOI":"10.3934\/amc.2017015","volume":"11","author":"R Hofer","year":"2017","unstructured":"Hofer, R., Winterhof, A.: On the arithmetic autocorrelation of the Legendre sequence. Adv. Math. Commun. 11(1), 237\u2013244 (2017)","journal-title":"Adv. Math. Commun."},{"key":"5_CR9","unstructured":"Lidl, R., Niederreiter, H.: Finite fields. In: Encyclopedia of Mathematics and Its Applications, vol. 20. Addison-Wesley Publishing Company, Advanced Book Program, Reading (1983)"},{"key":"5_CR10","unstructured":"Meidl, W., Winterhof, A.: Linear complexity of sequences and multisequences. In: Handbook of Finite Fields. Discrete Mathematics and its Applications, pp. 324\u2013336. CRC Press, Boca Raton (2013)"},{"key":"5_CR11","unstructured":"M\u00e9rai, L., Winterhof, A.: On the $$N$$th linear complexity of $$p$$-automatic sequences over $$\\mathbb{F}_p$$ (2016, preprint)"},{"key":"5_CR12","doi-asserted-by":"crossref","unstructured":"M\u00e9rai, L., Niederreiter, H., Winterhof, A.: Expansion complexity and linear complexity of sequences over finite fields. Cryptogr. Commun. 1\u20139 (2016)","DOI":"10.1007\/s12095-016-0189-2"},{"key":"5_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-540-24582-7_1","volume-title":"Progress in Cryptology - INDOCRYPT 2003","author":"H Niederreiter","year":"2003","unstructured":"Niederreiter, H.: Linear complexity and related complexity measures for sequences. In: Johansson, T., Maitra, S. (eds.) INDOCRYPT 2003. LNCS, vol. 2904, pp. 1\u201317. Springer, Heidelberg (2003). doi:10.1007\/978-3-540-24582-7_1"},{"key":"5_CR14","series-title":"Algebra and Applications","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/1-4020-5334-4_4","volume-title":"Topics in Seometry Coding Theory and Cryptography","author":"A Topuzo\u011flu","year":"2007","unstructured":"Topuzo\u011flu, A., Winterhof, A.: Pseudorandom sequences. In: Garcia, A., Stichtenoth, H. (eds.) Topics in Seometry Coding Theory and Cryptography. Algebra and Applications, vol. 6, pp. 135\u2013166. Springer, Dordrecht (2007)"},{"key":"5_CR15","doi-asserted-by":"crossref","unstructured":"Winterhof, A.: Linear complexity and related complexity measures. Selected topics in information and coding theory. Coding Theory and Cryptology, vol. 7, pp. 3\u201340. World Scientific Publishing, Hackensack (2010)","DOI":"10.1142\/9789812837172_0001"}],"container-title":["Lecture Notes in Computer Science","Arithmetic of Finite Fields"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-55227-9_5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,13]],"date-time":"2024-03-13T16:04:32Z","timestamp":1710345872000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-55227-9_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319552262","9783319552279"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-55227-9_5","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2016]]},"assertion":[{"value":"9 March 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"WAIFI","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Workshop on the Arithmetic of Finite Fields","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Ghent","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Belgium","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2016","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 July 2016","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 July 2016","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"6","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"waifi2016","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/cage.ugent.be\/waifi\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}