Affine-coset construction
A (3,8)-regular CSS base and CPM lifts, including construction data for a [[16384, 4142, ≤40]] code.
arXiv:2604.20838 page →Distinct construction families
Other QLDPC constructions
Construction families distinct from Kasai codes (the APM construction) and the Okada–Kasai PP codes.
Classification: the items below are listed as distinct construction families. They are not included in the Kasai-code instance catalog or the Okada–Kasai PP-code family.
Finite-field two-branch construction
A two-branch finite-field construction for regular CSS LDPC bases, including the 64-fold lift [[10240, 4108, 10≤d≤32]].
arXiv:2605.23894 page →Rate-2/3 two-branch construction
A rate-2/3, (3,18)-regular, girth-8 construction from a finite-field two-branch base and CPM lift.
arXiv:2606.27130 page →(3,6)-regular girth-8 construction
A rate-zero (3,6)-regular CSS-LDPC construction and finite-length evaluation.
arXiv:2604.27817 →Finite-degree GV construction
Finite-degree quantum LDPC codes reaching the GV bound through Hsu–Anastasopoulos and MacKay–Neal codes.
arXiv:2603.24588 proof material →Random construction of QLDPC codes
The Okada–Kasai random construction of quantum LDPC codes, which is distinct from the PP construction.
arXiv:2511.04634 →