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W1963547430 abstract "Let p be a prime number. In this paper, we study cyclic codes over the ring Zp[u,v]/〈u2,v2,uv−vu〉. We find a unique set of generators for these codes. We also study the rank and the Hamming distance of these codes. We obtain all except one ternary optimal code of length 12 as the Gray image of the cyclic codes over the ring Zp[u,v]/〈u2,v2,uv−vu〉." @default.
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W1963547430 date "2015-07-01" @default.
W1963547430 modified "2023-10-17" @default.
W1963547430 title "Cyclic codes over the ring <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mrow><mml:mi mathvariant=double-struck>Z</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=false>[</mml:mo><mml:mi>u</mml:mi><mml:mo>,</mml:mo><mml:mi>v</mml:mi><mml:mo stretchy=false>]</mml:mo><mml:mo stretchy=false>/</mml:mo><mml:mo stretchy=false>〈</mml:mo><mml:msup><mml:mrow><mml:mi>u</mml:mi></mml:mrow><mml:mrow…" @default.
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W1963547430 doi "https://doi.org/10.1016/j.ffa.2015.01.005" @default.
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