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Dinh, Jian Gao, Songsak Sriboonchitta, Yonglin Cao, Yuan Cao","submitted_at":"2018-05-15T07:06:02Z","abstract_excerpt":"Let $\\mathbb{F}_{p^m}$ be a finite field of cardinality $p^m$ where $p$ is an odd prime, $n$ be a positive integer satisfying ${\\rm gcd}(n,p)=1$, and denote $R=\\mathbb{F}_{p^m}[u]/\\langle u^e\\rangle$ where $e\\geq 4$ be an even integer. Let $\\delta,\\alpha\\in \\mathbb{F}_{p^m}^{\\times}$. Then the class of $(\\delta+\\alpha u^2)$-constacyclic codes over $R$ is a significant subclass of constacyclic codes over $R$ of Type 2. 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