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.
Originalsprog | Engelsk |
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Artikelnummer | 8356685 |
Tidsskrift | I E E E Transactions on Information Theory |
Vol/bind | 65 |
Udgave nummer | 2 |
Sider (fra-til) | 1008-1016 |
Antal sider | 9 |
ISSN | 0018-9448 |
DOI | |
Status | Udgivet - 1 feb. 2019 |
Emneord
- LCD codes
- complementary dual
- subfieldsubcodes
- J-affine variety codes
- toric codes
- Liquid crystal displays
- linear codes