Binary LCD Codes from Z_2Z_2[u]

03/26/2019

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by   Hu Peng, et al.

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Linear complementary dual (LCD) codes over finite fields are linear codes satisfying C∩ C^={0}. We generalize the LCD codes over finite fields to Z_2Z_2[u]-LCD codes over the ring Z_2×(Z_2+uZ_2). Under suitable conditions, Z_2Z_2[u]-linear codes that are Z_2Z_2[u]-LCD codes are characterized. We then prove that the binary image of a Z_2Z_2[u]-LCD code is a binary LCD code. Finally, by means of these conditions, we construct new binary LCD codes using Z_2Z_2[u]-LCD codes, most of which have better parameters than current binary LCD codes available.