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New Binary and Ternary LCD Codes.
- Source :
- IEEE Transactions on Information Theory; Feb2019, Vol. 65 Issue 2, p1008-1016, 9p
- Publication Year :
- 2019
-
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]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 65
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 134231198
- Full Text :
- https://doi.org/10.1109/TIT.2018.2834500