On the classification of linear complementary dual codes

Abstract

We give a complete classification of binary linear complementary dual codes of lengths up to $13$ and ternary linear complementary dual codes of lengths up to $10$.

arXiv comment16 pages

References in corpus (3)

• LCD codes over ${\mathbb{F}}_q$ are as good as linear codes for q at least four
• Binary linear complementary dual codes
• New characterization and parametrization of LCD Codes

Cited by in corpus (7)

• Quaternary Hermitian linear complementary dual codes
• Optimal Quaternary Hermitian LCD codes
• Optimal Ternary Linear Complementary Dual Codes
• Characterization and classification of optimal LCD codes
• Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes
• Some MDS and ACD codes over commutative non-unital rings of orders 4 and 9 (Revision)
• Classification of optimal quaternary Hermitian LCD codes of dimension $2$