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- W4299655148 abstract "We consider the problem of designing optimal linear codes (in terms of having the largest minimum distance) subject to a support constraint on the generator matrix. We show that the largest minimum distance can be achieved by a subcode of a Reed-Solomon code of small field size. As a by-product of this result, we settle the GM-MDS conjecture of Dau et. al. in the affirmative." @default.
- W4299655148 created "2022-10-02" @default.
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- W4299655148 date "2018-03-09" @default.
- W4299655148 modified "2023-10-05" @default.
- W4299655148 title "Optimum Linear Codes with Support Constraints over Small Fields" @default.
- W4299655148 doi "https://doi.org/10.48550/arxiv.1803.03752" @default.
- W4299655148 hasPublicationYear "2018" @default.
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