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28 March 2024
 
  » arxiv » 1710.0196

 Article overview


New binary and ternary LCD codes
Carlos Galindo ; Olav Geil ; Fernando Hernando ; Diego Ruano ;
Date 30 Sep 2017
AbstractLCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code of the same parameters when they are supported on finite fields with cardinality larger than 3, hence the study of LCD codes is only open for binary and ternary fields. $J$-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.
Source arXiv, 1710.0196
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