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cs.IT2026
Hermitian Hulls of Cyclic Codes and Exact Dual Distances of Extended Linear Codes
Liangdong Lu, Ruipan Yang, Yang Liu +2
Let be an linear code over $\F_{q^2}$ with parity-check matrix . The rank $r=\Rank(HH^{\dagger})$ measures how far the Hermitian dual $\mathcal{C}^{\perp…
cs.IT2026
Quantum Locally Repairable Codes from Negacyclic and Repeated-Root Cyclic Codes over Small Fields
Ruipan Yang, Qiang Fu, Liangdong Lu
Quantum locally recoverable codes (qLRCs), introduced recently by Golowich and Guruswami, allow any single-qudit erasure to be recovered from a small set of other qudits. Most know…