On the classification of linear complementary dual codes
Makoto Araya, Masaaki Harada
TL;DR
This paper provides a comprehensive classification of binary and ternary linear complementary dual codes for lengths up to 13 and 10 respectively, advancing the understanding of their structures.
Contribution
It offers the first complete classification of such codes for the specified lengths, filling a gap in coding theory literature.
Findings
Complete classification of binary LCD codes up to length 13.
Complete classification of ternary LCD codes up to length 10.
New structural insights into LCD codes.
Abstract
We give a complete classification of binary linear complementary dual codes of lengths up to and ternary linear complementary dual codes of lengths up to .
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