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cs.IT2026
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…
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.IT2022
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…