2019/03/26 by Peng, Hu, Xiusheng, Liu
#11T71 #94B05 #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · doi:10.48550/arxiv.1903.11380
Linear complementary dual (LCD) codes over finite fields are linear codes satisfying C∩ C⊥=\0\. We generalize the LCD codes over finite fields to ℤ2ℤ2[u]-LCD codes over the ring Z2×(Z2+uZ2). Under suitable conditions, ℤ2ℤ2[u]-linear codes that are ℤ2ℤ2[u]-LCD codes are characterized. We then prove that the binary image of a ℤ2ℤ2[u]-LCD code is a binary LCD code. Finally, by means of these conditions, we construct new binary LCD codes using ℤ2ℤ2[u]-LCD codes, most of which have better parameters than current binary LCD codes available.