The paper proves that several candidate parameter cases for the auxiliary code A in an NMDS error-correcting pair can occur only when the NMDS code is the trivial [n,2,n-2] code, and it exhibits TGRS examples for the surviving cases.
Near-MDS codes from elliptic curves
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The error-correcting pair for several classes of NMDS linear codes
The paper proves that several candidate parameter cases for the auxiliary code A in an NMDS error-correcting pair can occur only when the NMDS code is the trivial [n,2,n-2] code, and it exhibits TGRS examples for the surviving cases.