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Galois LCD Codes over Finite Fields
May 02, 2017 Β· Declared Dead Β· π Finite Fields Their Appl.
"No code URL or promise found in abstract"
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Authors
Xiusheng Liu, Yun Fan, Hualu Liu
arXiv ID
1705.00770
Category
cs.IT: Information Theory
Citations
79
Venue
Finite Fields Their Appl.
Last Checked
5 months ago
Abstract
In this paper, we study the complementary dual codes in more general setting (which are called Galois LCD codes) by a uniform method. A necessary and sufficient condition for linear codes to be Galois LCD codes is determined, and constacyclic codes to be Galois LCD codes are characterized. Some illustrative examples which constacyclic codes are Galois LCD MDS codes are provided as well. In particular, we study Hermitian LCD constacyclic codes. Finally, we present a construction of a class of Hermitian LCD codes which are also MDS codes.
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