Author

Kenta Kasai

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Preprint Sep 2026

CPM-LDPC Codes Attaining the Minimum-Distance Bound

We study binary quasi-cyclic LDPC codes whose parity-check matrices are full arrays of single circulant permutation matrices (CPMs), referred to here as CPM-LDPC codes. Their minimum distance is at most $(J+1)!$, where $J$ is the column weight. For every fixed pair of column and row weights $2\le J<L$, we show that thi...

Kenta Kasai · 0 citations

Preprint Sep 2026

Design Principles for Ultra-High-Rate Quantum Codes

Reducing the qubit overhead of quantum error correction is a central challenge for scalable fault-tolerant quantum computing. Recent ultra-high-rate quantum codes offer a promising route toward this goal, with some constructions requiring as few as two physical data qubits per logical qubit. However, systematic princip...

Jong-Ye-On Lee, K. Okada, N. Maskara et al. · 1 citation