Conference-matrix MDS code conjecture
Conference-matrix MDS code conjecture
Let be a prime, and let be a code of length constructed from a generator matrix that is a conference matrix. Conference-matrix MDS conjecture. The code is an MDS code of dimension and minimum Hamming distance . This would give an MDS code with parameters determined by the rank of a conference matrix over ; the source provides no resolution of the claim.
Sources & referencesView supporting material
Primary source
Tuvi Etzion, Alexander Vardy and Eitan Yaakobi, “Coding for the Lee and Manhattan Metrics with Weighing Matrices”, arXiv:1210.5725 (2012).
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