A proof of the GM-MDS conjecture.
Electronic Colloquium on Computational Complexity (ECCC)（2018）
摘要
The GM-MDS conjecture of Dau et al. (ISIT 2014) speculates that the MDS condition, which guarantees the existence of MDS matrices with a prescribed set of zeros over large fields, is in fact sufficient for existence of such matrices over small fields. We prove this conjecture.
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