{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T14:20:16Z","timestamp":1772806816399,"version":"3.50.1"},"reference-count":22,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AMC"],"published-print":{"date-parts":[[2017]]},"DOI":"10.3934\/amc.2017036","type":"journal-article","created":{"date-parts":[[2017,8,30]],"date-time":"2017-08-30T10:06:45Z","timestamp":1504087605000},"page":"429-444","source":"Crossref","is-referenced-by-count":0,"title":["Complete characterization of the first descent point distribution for the &lt;i&gt;k&lt;\/i&gt;-error linear complexity of 2&lt;sup&gt;&lt;i&gt;n&lt;\/i&gt;&lt;\/sup&gt;-periodic binary sequences"],"prefix":"10.3934","volume":"11","author":[{"given":"Jianqin","family":"Zhou","sequence":"first","affiliation":[]},{"given":"Wanquan","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Computing, Curtin University, Perth, WA 6102, Australia"}]},{"given":"Xifeng","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Computer Science, Anhui Univ. of Technology, Maanshan, Anhui 243032, China"}]}],"member":"2321","reference":[{"key":"key-10.3934\/amc.2017036-1","doi-asserted-by":"publisher","unstructured":"C. S. Ding, Lower bounds on the weight complexity of cascaded binary sequences, in <i>Proc. Auscrypt'90 Adv. Crypt. <\/i>, Springer-Verlag, 1990, 39\u201343.","DOI":"10.1007\/BFb0030350"},{"key":"key-10.3934\/amc.2017036-2","doi-asserted-by":"publisher","unstructured":"C. S. Ding, G. Z. Xiao and W. J. Shan, <i>The Stability Theory of Stream Ciphers<\/i>, SpringerVerlag, Berlin, 1991, 85\u201388.","DOI":"10.1007\/3-540-54973-0"},{"key":"key-10.3934\/amc.2017036-3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2027495"},{"key":"key-10.3934\/amc.2017036-4","doi-asserted-by":"publisher","unstructured":"F. Fu, H. Niederreiter and M. Su, The characterization of 2<sup><i>n<\/i><\/sup>-periodic binary sequences withfixed 1-error linear complexity, in <i>SETA 2006<\/i> (eds. G. Gong et al), Springer, 2006, 88\u2013103.","DOI":"10.1007\/11863854_8"},{"key":"key-10.3934\/amc.2017036-5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1983.1056619"},{"key":"key-10.3934\/amc.2017036-6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.896863"},{"key":"key-10.3934\/amc.2017036-7","doi-asserted-by":"publisher","DOI":"10.1006\/inco.1998.2768"},{"key":"key-10.3934\/amc.2017036-8","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-009-9295-x"},{"key":"key-10.3934\/amc.2017036-9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2002.802621"},{"key":"key-10.3934\/amc.2017036-10","doi-asserted-by":"publisher","DOI":"10.1109\/18.825845"},{"key":"key-10.3934\/amc.2017036-11","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2002.806136"},{"key":"key-10.3934\/amc.2017036-12","doi-asserted-by":"publisher","DOI":"10.1023\/B:DESI.0000035466.28660.e9"},{"key":"key-10.3934\/amc.2017036-13","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.842709"},{"key":"key-10.3934\/amc.2017036-14"},{"key":"key-10.3934\/amc.2017036-15","doi-asserted-by":"publisher","unstructured":"R. A. Rueppel,  <i>Analysis and Design of Stream Ciphers<\/i> Springer-Verlag, Berlin, 1986.","DOI":"10.1007\/978-3-642-82865-2"},{"key":"key-10.3934\/amc.2017036-16","doi-asserted-by":"publisher","DOI":"10.1109\/18.243455"},{"key":"key-10.3934\/amc.2017036-17","doi-asserted-by":"publisher","DOI":"10.1109\/18.868492"},{"key":"key-10.3934\/amc.2017036-18","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-010-9379-7"},{"key":"key-10.3934\/amc.2017036-19","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-013-9805-8"},{"key":"key-10.3934\/amc.2017036-20","doi-asserted-by":"publisher","unstructured":"J. Q. Zhou, J. Liu and W. Q. Liu,  <i>The 4-error linear complexity distribution for <inline-formula><tex-math id=\"M880\">\\begin{document}$2^n$\\end{document}<\/tex-math><\/inline-formula>-periodic binary sequences<\/i> 2013, preprint, arXiv: 1310.0132","DOI":"10.1007\/s10623-013-9805-8"},{"key":"key-10.3934\/amc.2017036-21","doi-asserted-by":"publisher","unstructured":"J. Q. Zhou, W. Q. Liu and G. L. Zhou, Cube theory and stable <i>k<\/i>-error linear complexity forperiodic sequences, in <i>Inscrypt<\/i> 2013, Springer, 70\u201385.","DOI":"10.1007\/978-3-319-12087-4_5"},{"key":"key-10.3934\/amc.2017036-22","doi-asserted-by":"publisher","DOI":"10.1007\/s11767-006-0005-9"}],"container-title":["Advances in Mathematics of Communications"],"original-title":[],"link":[{"URL":"https:\/\/aimsciences.org\/download\/files\/1930-5346_2017_3_429.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T10:01:21Z","timestamp":1772791281000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aimsciences.org\/\/article\/doi\/10.3934\/amc.2017036"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"references-count":22,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017]]}},"URL":"https:\/\/doi.org\/10.3934\/amc.2017036","relation":{},"ISSN":["1930-5346","1930-5338"],"issn-type":[{"value":"1930-5346","type":"print"},{"value":"1930-5338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017]]}}}