Every normalized maximal Plücker coordinate of the companion remainder orbit equals, up to sign and a power of the constant coefficient, a Schur polynomial, so the universal MDS polynomial is A0 times all Schur polynomials in a rectangular partition set.
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Schur--Plucker Geometry of the MDS Locus for Principal-Ideal Codes
Every normalized maximal Plücker coordinate of the companion remainder orbit equals, up to sign and a power of the constant coefficient, a Schur polynomial, so the universal MDS polynomial is A0 times all Schur polynomials in a rectangular partition set.