New binary and ternary LCD codes

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

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

15 Citationer (Scopus)
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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.
OriginalsprogEngelsk
Artikelnummer8356685
TidsskriftI E E E Transactions on Information Theory
Vol/bind65
Udgave nummer2
Sider (fra-til)1008-1016
Antal sider9
ISSN0018-9448
DOI
StatusUdgivet - 1 feb. 2019

Emneord

  • LCD codes
  • complementary dual
  • subfieldsubcodes
  • J-affine variety codes
  • toric codes
  • Liquid crystal displays
  • linear codes

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