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valbert4 committed Feb 14, 2024
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description: |
Member of a family of quantum locally testable codes constructed using cubical chain complexes, which are \(t\)-order extensions of the complexes underlying expander codes (\(t=1\)) and expander lifted-product codes (\(t=2\)).
For \(t=4\), there exists a family withlinear dimension and inverse poly-logarithmic relative distance and soundness, assuming a conjecture about random linear maps.
For \(t=4\), assuming a conjecture about random linear maps, there exists a family with linear dimension and inverse poly-logarithmic relative distance and soundness.
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