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In this paper, based on the theory of generalized cyclotomy, new classes of quaternary generalized cyclotomic sequences with order 4 and period <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mn>2<\/mml:mn><mml:msup><mml:mrow><mml:mi>p<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>m<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:math> are constructed. In addition, we determine their linear complexities over finite field <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"double-struck\">F<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math> and over <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">\u2124<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>, respectively.<\/jats:p>","DOI":"10.1155\/2020\/6538970","type":"journal-article","created":{"date-parts":[[2020,3,10]],"date-time":"2020-03-10T19:34:25Z","timestamp":1583868865000},"page":"1-7","source":"Crossref","is-referenced-by-count":6,"title":["Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" 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