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- W2022647331 abstract "Let Fq be a finite field of q elements with q≡3(mod8) and p|q−1, where p is an odd prime. In this paper, we use matrix method to give all primitive idempotents in two rings Fq[x]/〈x4pn−1〉 and Fq[x]/〈x8pn−1〉. Furthermore, we obtain the dimensions and the minimum Hamming distances of all irreducible cyclic codes of length 4pn and 8pn over Fq." @default.
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- W2022647331 date "2015-07-01" @default.
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- W2022647331 title "Irreducible cyclic codes of length <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mn>4</mml:mn><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si2.gif overflow=scroll><mml:mn>8</mml:mn><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>" @default.
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- W2022647331 doi "https://doi.org/10.1016/j.ffa.2015.01.009" @default.
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