MDS codes are horizontal codes that are applicable to devices with specific characteristics. All codes that are applicable need to be assigned to a device in order to ensure that the review team possesses …

Linear block codes that achieve equality in the Singleton bound are called MDS (maximum distance separable) codes.

Mar 7, 2020 · A maximum distance separable code, or MDS code, is a way of encoding data so that the distance between code words is as large as possible for a given data capacity.

Observe that MDS codes have the MDS property. For any k = n d + 1 coordinates, each of the possible k-tuples in these coordinates appears in a unique codeword. Some applications of MDS codes: …

Oct 1, 2025 · Downloads iQIES MDS Error Message Reference Guide v1.0 (posted 10/01/2025) iQIES MDS Error Messages v1.0 (posted 10/01/2025)

MDS array code — MDS array codes are MDS codes when each matrix codeword is treated as a vector by converting each column into a single coordinate via subpacketization.

May 1, 2025 · Maximum distance separable (MDS) and near maximum distance separable (NMDS) codes have been widely used in various fields such as communication systems, data storage, and …

Jun 5, 2012 · One method for proving this conjecture for certain values of k is based on identifying a range of parameters for which MDS codes are necessarily extended GRS codes.

May 9, 2020 · One can use a Reed–Solomon code, or more generally an MDS code, in concatenation codes to produce binary codes which come arbitrarily close to the Gilbert–Varshamov bound …

It may be that the proof of our result is as interesting as the result itself. We provide a simple necessary and sufficient condition (property P) for code extendability. In future work, this condition might be …