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• W2998778888 abstract "In this paper, we present some necessary and sufficient conditions under which an irreducible polynomial is self-reciprocal (SR) or self-conjugate-reciprocal (SCR). By these characterizations, we obtain some enumeration formulas of SR and SCR irreducible factors of $x^n-lambda$, $lambdain Bbb F_q^*$, over $Bbb F_q$, which are just open questions posed by Boripan {em et al} (2019). We also count the numbers of Euclidean and Hermitian LCD constacyclic codes and show some well-known results on Euclidean and Hermitian self-dual constacyclic codes in a simple and direct way." @default.
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• W2998778888 date "2020-01-14" @default.
• W2998778888 modified "2023-10-16" @default.
• W2998778888 title "Self-reciprocal and self-conjugate-reciprocal irreducible factors of $x^n-lambda$ and their applications" @default.
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• W2998778888 doi "https://doi.org/10.48550/arxiv.2001.04766" @default.
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