A finite-field two-branch coset construction generates regular CSS LDPC bases for multiple (J,L) pairs, with a (3,10) example lifted 64-fold to a [[10240,4108,10≤d≤32]] code and post-processed FER of 1e-7 at p=0.058.
Degenerate quantum LDPC codes with good finite length performance,
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4representative citing papers
Joint BP on coupled binary factor graphs and four-state BP for CSS decoding produce identical results after relabeling Pauli states and marginalizing irrelevant components.
Constructs explicit regular high-girth quantum LDPC codes from square-base hypergraph products and CPM lifts, including a [[28800,62]] (3,6)-regular code with zero observed decoding failures in 2.993e8 trials at p=0.1402.
Dyadic matrices enable algebraic construction of QLDPC codes with enumerated short cycles and absorbing sets, yielding decoding gains in simulations even without higher girth.
citing papers explorer
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A Two-Branch Finite-Field Construction for Regular CSS LDPC Bases
A finite-field two-branch coset construction generates regular CSS LDPC bases for multiple (J,L) pairs, with a (3,10) example lifted 64-fold to a [[10240,4108,10≤d≤32]] code and post-processed FER of 1e-7 at p=0.058.
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A Factor-Graph Formulation of CSS Syndrome Decoding: Joint BP and Four-State BP
Joint BP on coupled binary factor graphs and four-state BP for CSS decoding produce identical results after relabeling Pauli states and marginalizing irrelevant components.
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High-Girth Regular Quantum LDPC Codes from Square-Base Hypergraph Products via CPM Lifts
Constructs explicit regular high-girth quantum LDPC codes from square-base hypergraph products and CPM lifts, including a [[28800,62]] (3,6)-regular code with zero observed decoding failures in 2.993e8 trials at p=0.1402.
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Combinatorial Analysis of Dyadic and Quasi-Dyadic Codes
Dyadic matrices enable algebraic construction of QLDPC codes with enumerated short cycles and absorbing sets, yielding decoding gains in simulations even without higher girth.