Title
Quaternary Hermitian Linear Complementary Dual Codes
Abstract
The largest minimum weights among quaternary Hermitian linear complementary dual codes are known for dimension 2. In this paper, we give some conditions on the nonexistence of quaternary Hermitian linear complementary dual codes with large minimum weights. As a consequence, we completely determine the largest minimum weights for dimension 3, by using a classification of some quaternary codes. In addition, for a positive integer <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">s</italic> , an entanglement-assisted quantum error-correcting <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$[[21{s}+5,3,16{s}+3;21{s}+2]]$ </tex-math></inline-formula> code with maximal entanglement is constructed for the first time from a quaternary Hermitian linear complementary dual [26, 3, 19] code.
Year
DOI
Venue
2020
10.1109/TIT.2019.2949040
IEEE Transactions on Information Theory
Keywords
DocType
Volume
Liquid crystal displays,Generators,Quantum entanglement,Indexes,Linear codes,Adders
Journal
66
Issue
ISSN
Citations 
5
0018-9448
1
PageRank 
References 
Authors
0.37
0
3
Name
Order
Citations
PageRank
Makoto Araya1268.52
Masaaki Harada236769.47
Ken Saito3196.61