{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T19:32:13Z","timestamp":1773689533764,"version":"3.50.1"},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[2016,11]]},"abstract":"<jats:p> In this paper, 2-adic complexity of two classes of generalized cyclotomic binary sequences is investigated. The sequences in the first class have period <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\" altimg=\"eq-00001.gif\"><mml:mrow><mml:mi>p<\/mml:mi><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>p<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>4<\/mml:mn><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><\/mml:math>, and their 2-adic complexity attains the maximum, where both p and <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\" altimg=\"eq-00002.gif\"><mml:mrow><mml:mi>p<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:math> are primes, and gcd<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\" altimg=\"eq-00003.gif\"><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>p<\/mml:mi><mml:mo>\u2212<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>,<\/mml:mo><mml:mi>p<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mo stretchy=\"false\">)<\/mml:mo><mml:mo>=<\/mml:mo><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:math>. The sequences in the second one have period <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\" altimg=\"eq-00004.gif\"><mml:mrow><mml:msup><mml:mi>p<\/mml:mi><mml:mn>2<\/mml:mn><\/mml:msup><\/mml:mrow><\/mml:math>, and their 2-adic complexity also reaches the maximum if p is an odd prime with <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\" altimg=\"eq-00005.gif\"><mml:mrow><mml:mi>p<\/mml:mi><mml:menclose notation=\"updiagonalstrike\"><mml:mo>\u2261<\/mml:mo><\/mml:menclose><mml:mn>5<\/mml:mn><mml:mo>,<\/mml:mo><mml:mn>19<\/mml:mn><\/mml:mrow><\/mml:math> (mod 24). <\/jats:p>","DOI":"10.1142\/s0129054116500350","type":"journal-article","created":{"date-parts":[[2017,1,24]],"date-time":"2017-01-24T05:57:32Z","timestamp":1485237452000},"page":"879-893","source":"Crossref","is-referenced-by-count":27,"title":["2-Adic Complexity of Two Classes of Generalized Cyclotomic Binary Sequences"],"prefix":"10.1142","volume":"27","author":[{"given":"Zibi","family":"Xiao","sequence":"first","affiliation":[{"name":"Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University Wuhan, 430062, P. R. China"},{"name":"Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology Wuhan, 430081, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiangyong","family":"Zeng","sequence":"additional","affiliation":[{"name":"Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University Wuhan, 430062, P. R. China"},{"name":"State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences Beijing 100093, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhimin","family":"Sun","sequence":"additional","affiliation":[{"name":"Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University Wuhan, 430062, P. R. 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