Kasai-code catalog
Live parameters, distance status, downloadable instances, and witness records.
Open catalog →Research resources
Software and code data
Implementations, parameter files, construction records, and proof material organized by purpose.
Decoding software
- Non-binary quantum LDPC decoder. Joint and degeneracy-aware sum-product BP decoding associated with npj Quantum Information and arXiv:2506.15636. GitHub repository.
- Joint sum-product BP with post-processing. Construction and decoding demos associated with arXiv:2601.08824: APM-based CSS construction and joint BP plus post-processing.
- Exact basis-compressed Savin decoder. A basis-compressed implementation for GF(256). GitHub repository.
- BP post-processing note. Local repair, OSD-lite, K-OSD, and all-variable syndrome solve are summarized in the post-processing algorithm note.
Construction data and verification records
PP codes
CPM instances and verification material for pair-partition constructions.
Construction data →Two-branch construction
The 64-fold CPM lift of the finite-field two-branch base.
Construction data →Affine-coset construction
Explicit P=32 CPM lift and distance-verification summaries.
Construction data →Rate-2/3 construction
Finite-field base, P=101 lift coefficients, and upper-bound data.
Construction data →Data archives
- Parity-check matrix data for arXiv:2506.15636: 2506.15636.code.tar.gz.
- Parity-check matrix data for arXiv:2504.17790: 2504.17790.code.tar.gz.
- Parameter-file notation and field-element conventions: how to read APM parameter files.
- P=216 and P=2688 search records: P=216 catalog and P=2688 catalog.
Supplementary proof material
Matrix data, proof certificates, and verification code for Finite-Degree Quantum LDPC Codes Reaching the Gilbert–Varshamov Bound are available in the GitHub repository.