3 problems

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Convex-hull characterization of the $\mathbb{F}_{2^2}$ relaxed code polytope
Let $\mathcal{E}$ be the set defined by the stated integer constraint lemma for $\mathbb{F}_{2^2}$ and by the all-ones check of length $d$ . Let $\mathbb{U}_4$ be the relaxed code p…
Conjectureopenlp-decoding nonbinary-codes polyhedral-combinatoricsarXiv posted 3 days ago
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Tightness conjecture for the relaxed non-binary code polytope over $\mathbb{F}_{2^2}$
The relaxed code polytope is constructed from the local constraints associated with non-binary single-parity-check codes over $\mathbb{F}_{2^2}$ . A polytope is tight when it equals…
Conjectureopenldpc-codes lp-decoding nonbinary-codesarXiv posted 3 days ago
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Potential–MAP threshold conjecture for nonbinary LDPC codes
Potential–MAP threshold conjecture. The potential threshold of nonbinary LDPC codes is identical to the MAP threshold.
Conjectureopenldpc-codes nonbinary-codes threshold-saturationarXiv posted 3 days ago

Convex-hull characterization of the F22\mathbb{F}_{2^2}F22​ relaxed code polytope