Title
The combinatorics of LCD codes: Linear Programming bound and orthogonal matrices
Abstract
Linear complementary dual LCD codes are binary linear codes that meet their dual trivially. We construct LCD codes using orthogonal matrices, self-dual codes, combinatorial designs and Gray map from codes over the family of rings Rk. We give a linear programming bound on the largest size of an LCD code of given length and minimum distance. We make a table of lower bounds for this combinatorial function for modest values of the parameters.
Year
DOI
Venue
2015
10.1504/IJICOT.2017.10004700
International Journal of Information and Coding Theory
Field
DocType
Volume
Hamming code,Discrete mathematics,Combinatorics,Concatenated error correction code,Group code,Block code,Expander code,Reed–Solomon error correction,Reed–Muller code,Linear code,Mathematics
Journal
4
Issue
ISSN
Citations 
2-3
1753-7703
22
PageRank 
References 
Authors
1.40
5
5
Name
Order
Citations
PageRank
Steven T. Dougherty116838.04
Jon-Lark Kim231234.62
buket ozkaya3375.15
Lin Sok44710.38
Patrick Solé563689.68