Title
On the minimum weights of binary LCD codes and ternary LCD codes
Abstract
Linear complementary dual (LCD) codes are linear codes that intersect with their dual codes trivially. We study the largest minimum weight d2(n,k) among all binary LCD [n,k] codes and the largest minimum weight d3(n,k) among all ternary LCD [n,k] codes. The largest minimum weights d2(n,5) and d3(n,4) are partially determined. We also determine the largest minimum weights d2(n,n−5), d3(n,n−i) for i∈{2,3,4}, and d3(n,k) for n∈{11,12,…,19}.
Year
DOI
Venue
2021
10.1016/j.ffa.2021.101925
Finite Fields and Their Applications
Keywords
DocType
Volume
94B05,94B25
Journal
76
ISSN
Citations 
PageRank 
1071-5797
1
0.36
References 
Authors
0
3
Name
Order
Citations
PageRank
Makoto Araya1268.52
Masaaki Harada236769.47
Ken Saito3196.61