On the classification of linear complementary dual codes

DOI10.1016/j.disc.2018.09.034zbMath1417.94100arXiv1803.11335OpenAlexW2795192894WikidataQ129024205 ScholiaQ129024205MaRDI QIDQ1618248

Masaaki Harada, Makoto Araya

Publication date: 13 November 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.11335

zbMATH Keywords

equivalenceautomorphism grouplinear complementary dual code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (13)

Characterization and classification of optimal LCD codes ⋮ On the enumeration and classification of \(\sigma\)-LCD codes over finite commutative chain rings ⋮ On the classification of quaternary optimal Hermitian LCD codes ⋮ Classification of optimal quaternary Hermitian LCD codes of dimension $2$ ⋮ LCP of matrix product codes ⋮ Construction methods for Galois LCD codes over finite fields ⋮ On Toeplitz codes of index \(t\) and isometry codes ⋮ An improved method for constructing formally self-dual codes with small hulls ⋮ Formally self-dual LCD codes from two-class association schemes ⋮ Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes ⋮ On the minimum weights of binary LCD codes and ternary LCD codes ⋮ LCD codes from weighing matrices ⋮ Construction of LCD-MRD codes of length n > N

Uses Software

• GAP
• Magma
• nauty
• GUAVA
• Code Tables

Cites Work

• Classification algorithms for codes and designs
• Linear codes with complementary duals
• The Magma algebra system. I: The user language
• Some bounds on binary LCD codes
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