2024-03-28T18:09:07Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/317212021-06-24T07:41:16Zcom_10324_32197com_10324_952com_10324_894com_10324_1129com_10324_931col_10324_32199col_10324_1193
2018-09-24T11:26:46Z
urn:hdl:10324/31721
New binary and ternary LCD codes
Galindo, Carlos
Geil, Olav
Hernando, Fernando
Ruano Benito, Diego
Producción CientÃfica
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 J-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 J-affine variety codes and provide some new and good LCD codes coming from this construction.
2018-09-24T11:26:46Z
2018-09-24T11:26:46Z
2018
info:eu-repo/semantics/article
IEEE Transactions on Information Theory, accepted for publication
http://uvadoc.uva.es/handle/10324/31721
https://doi.org/10.1109/TIT.2018.2834500
eng
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 International