Linear codes with complementary duals meet the Gilbert–Varshamov bound

Using the hull dimension spectra of linear codes, we show that linear codes with complementary dual meet the asymptotic Gilbert–Varshamov bound.

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Bibliographic Details
Published in:Discrete mathematics 2004-08, Vol.285 (1), p.345-347
Main Author: Sendrier, Nicolas
Format: Article
Language:English
Subjects:
Algebraic combinatorics
Applied sciences
Coding, codes
Combinatorics
Combinatorics. Ordered structures
Error correcting codes
Exact sciences and technology
Gilbert–Varshamov bound
Hull
Information, signal and communications theory
LCD codes
Mathematics
Sciences and techniques of general use
Signal and communications theory
Telecommunications and information theory
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Description
Summary:Using the hull dimension spectra of linear codes, we show that linear codes with complementary dual meet the asymptotic Gilbert–Varshamov bound.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2004.05.005