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
Main Author: Sendrier, N.
Format: Conference Proceeding
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Exact sciences and technology
Galois fields
Information theory
Information, signal and communications theory
Linear code
Telecommunications and information theory
Online Access:Request full text
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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.
DOI:10.1109/ISIT.2004.1365492