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The combinatorics of LCD codes: Linear Programming bound and orthogonal matrices
June 05, 2015 Β· Declared Dead Β· π International Journal of Information and Coding Theory
"No code URL or promise found in abstract"
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Authors
Steven T. Dougherty, Jon-Lark Kim, Buket Ozkaya, Lin Sok, Patrick SolΓ©
arXiv ID
1506.01955
Category
cs.IT: Information Theory
Citations
136
Venue
International Journal of Information and Coding Theory
Last Checked
4 months ago
Abstract
Linear Complementary Dual codes (LCD) 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 $R_k$. 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.
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