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Article overview
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New binary and ternary LCD codes | Carlos Galindo
; Olav Geil
; Fernando Hernando
; Diego Ruano
; | Date: |
30 Sep 2017 | 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 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 | Services: | Forum | Review | PDF | Favorites |
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