New Binary and Ternary LCD Codes
@article{Galindo2019NewBA, title={New Binary and Ternary LCD Codes}, author={C. Galindo and O. Geil and F. Hernando and D. Ruano}, journal={IEEE Transactions on Information Theory}, year={2019}, volume={65}, pages={1008-1016} }
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 <inline-formula> <tex-math notation="LaTeX">$J$ </tex-math></inline-formula>-affine variety codes are a generalization of BCH codes which have been… CONTINUE READING
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