New binary and ternary LCD codes

Carlos Galindo, Hans Olav Geil, Fernando Hernando, Diego Ruano Benito

Research output: Contribution to journalJournal articleResearchpeer-review

9 Citations (Scopus)
122 Downloads (Pure)

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 languageEnglish
Article number8356685
JournalI E E E Transactions on Information Theory
Volume65
Issue number2
Pages (from-to)1008-1016
Number of pages9
ISSN0018-9448
DOIs
Publication statusPublished - 1 Feb 2019

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