5 papers
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…
Construction of EAQECCs with imperfect ebits
Guanmin Guo, Ruihu Li
We generalize the stabilizer formalism for entanglement-assisted quantum error-correcting codes with noisy ebits (EAQECCs-Ne) from the binary case to the general -ary case, wher…
Stabilizer Formalism for EAQECCs with Noise ebits
Ruihu Li, Guanmin Guo, Yang Liu +1
We introduce a stabilizer formalism for EAQECCs with noise ebits, using special subgroups of product groups of two Pauli groups. This formalism includes the two coding schemes,give…
Duality of generalized twisted Reed-Solomon codes and Hermitian self-dual MDS or NMDS codes
Guanmin Guo, Ruihu Li, Yang Liu +1
Self-dual MDS and NMDS codes over finite fields are linear codes with significant combinatorial and cryptographic applications. In this paper, firstly, we investigate the duality p…