Preprint
Sep 2026
New distance bounds for one-generator quasi-cyclic codes with applications to Hermitian LCD codes and entanglement-assisted quantum codes
Lower bounds on the minimum distance of one-generator quasi-cyclic codes of arbitrary index are introduced, obtained by puncturing and shortening the code at the level of its blocks, and form a nondecreasing chain whose first term is the Jensen bound.
K. Abdukhalikov, Duy Ho, Rasha M. Shat
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