1. New Binary and Ternary LCD Codes.
- Author
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Galindo, Carlos, Geil, Olav, Hernando, Fernando, and Ruano, Diego
- Subjects
- *
LIQUID crystal displays , *ERROR-correcting codes , *LINEAR codes , *CODING theory , *CYCLOTOMIC fields - 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 subfield subcodes of $J$ -affine variety codes and provide some new and good LCD codes coming from this construction. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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