4 papers
Quantum bivariate bicycle codes with weight-8 checks surpassing the BB benchmark
Liangdong Lu, Ruipan Yang, Guanmin Guo
Bivariate bicycle (BB) codes of Bravyi \emph{et al.}~\cite{Bravyi2024} are quantum low-density parity-check codes with weight- checks, exemplified by with $kd^2/…
Quantum Bicycle LDPC Codes with High from Divisor-Driven Search
Liangdong Lu, Guanmin Guo, Yang Liu +1
Bicycle (two-block circulant) quantum low-density parity-check (LDPC) codes include some of the best known small quantum codes, yet their design has relied on group-algebra formula…
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…
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…