New binary and ternary LCD codes
Information Theory
2019-11-25 v2 math.IT
Abstract
LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field with cardinality larger than 3. Hence, the study of LCD codes is mainly open for binary and ternary fields. Subfield-subcodes of -affine variety codes are a generalization of BCH codes which have been successfully used for constructing good quantum codes. We describe binary and ternary LCD codes constructed as subfield-subcodes of -affine variety codes and provide some new and good LCD codes coming from this construction.
Keywords
Cite
@article{arxiv.1710.00196,
title = {New binary and ternary LCD codes},
author = {Carlos Galindo and Olav Geil and Fernando Hernando and Diego Ruano},
journal= {arXiv preprint arXiv:1710.00196},
year = {2019}
}