Jordan canonical form 1linear codes 1quantum error correction 1self-orthogonal codes 1stabilizer codes 1
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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
Quantum Codes from -Nearly Self-Orthogonal Linear Codes via Jordan Canonical Form over
Liangdong Lu, Ruipan Yang, Yang Liu +2
The paper presents a Jordan‑canonical‑form method to build q‑ary quantum stabilizer codes from any classical linear code over \(\mathbb{F}_{q^2}\) without requiring self‑orthogonal…
cs.IT2024
On the largest minimum distances of [n,6] LCD codes
Yang Liu, Ruihu Li
Linear complementary dual (LCD) codes can be used to against side-channel attacks and fault noninvasive attacks. Let and be the minimum weights of all bin…