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- W2923094742 abstract "Linear complementary dual (LCD) codes over finite fields are linear codes satisfying $Ccap C^{perp}={0}$. We generalize the LCD codes over finite fields to $mathbb{Z}_2mathbb{Z}_2[u]$-LCD codes over the ring $mathbf{Z}_2times(mathbf{Z}_2+umathbf{Z}_2)$. Under suitable conditions, $mathbb{Z}_2mathbb{Z}_2[u]$-linear codes that are $mathbb{Z}_2mathbb{Z}_2[u]$-LCD codes are characterized. We then prove that the binary image of a $mathbb{Z}_2mathbb{Z}_2[u]$-LCD code is a binary LCD code. Finally, by means of these conditions, we construct new binary LCD codes using $mathbb{Z}_2mathbb{Z}_2[u]$-LCD codes, most of which have better parameters than current binary LCD codes available." @default.
- W2923094742 created "2019-04-01" @default.
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- W2923094742 date "2019-03-26" @default.
- W2923094742 modified "2023-09-27" @default.
- W2923094742 title "Binary LCD Codes from $mathbb{Z}_2mathbb{Z}_2[u]$" @default.
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