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- W4289713046 abstract "An improved Singleton-type upper bound is presented for the list decoding radius of linear codes, in terms of the code parameters [n, k, d] and the list size L. L-MDS codes are then defined as codes that attain this bound (under a slightly stronger notion of list decodability), with 1 -MDS codes corresponding to ordinary linear MDS codes. Several properties of such codes are presented, one of which is that the 2-MDS property is preserved under duality. Finally, explicit constructions for 2-MDS codes are presented through generalized Reed-Solomon (GRS) codes." @default.
- W4289713046 created "2022-08-04" @default.
- W4289713046 creator A5074098103 @default.
- W4289713046 date "2022-06-26" @default.
- W4289713046 modified "2023-09-26" @default.
- W4289713046 title "Higher-Order MDS Codes" @default.
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- W4289713046 doi "https://doi.org/10.1109/isit50566.2022.9834580" @default.
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