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The generalized Hamming weight lower-bound conjecture for Orlik–Terao ideals
Generalized Hamming weight lower-bound conjecture. For every $1\leq r\leq k$ , one has
Conjectureopencoding-theory generalized-hamming-weights orlik-terao-algebrasarXiv posted 2 days ago
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The GM-MDS conjecture based on generalized Hamming weights
Let ${\bf F}_q$ be a finite field, and let ${\bf S}_1,\ldots,{\bf S}_k$ be subsets of $[n]$ prescribed as zero coordinate positions for the rows of a generator matrix of a linear…
Conjecturesolvederror-correcting-codes generalized-hamming-weights mds-codesarXiv posted 2 days ago

The generalized Hamming weight lower-bound conjecture for Orlik–Terao ideals