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 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 subfieldsubcodes of J-affine variety codes and provide some new and good LCD codes coming from this construction.
Original language | English |
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Article number | 8356685 |
Journal | I E E E Transactions on Information Theory |
Volume | 65 |
Issue number | 2 |
Pages (from-to) | 1008-1016 |
Number of pages | 9 |
ISSN | 0018-9448 |
DOIs | |
Publication status | Published - 1 Feb 2019 |