Explicit Hermitian self-dual MDS codes prove the existence of AME(12,5), AME(18,11), AME(18,13) and the projections AME(17,11), AME(17,13).
New MDS Self-Dual Codes over Large Finite Fields
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We construct MDS Euclidean and Hermitian self-dual codes over large finite fields of odd and even characteristics. Our codes arise from cyclic and negacyclic duadic codes.
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Symmetry-guided constructions of absolutely maximally entangled states in five open cases
Explicit Hermitian self-dual MDS codes prove the existence of AME(12,5), AME(18,11), AME(18,13) and the projections AME(17,11), AME(17,13).