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New MDS Euclidean and Hermitian self-dual codes over finite fields

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arxiv 1606.07161 v1 pith:IDZK2QP3 submitted 2016-06-23 cs.IT math.IT

classification cs.ITmath.IT
keywords codesself-dualeuclideanhermitianconstructcyclicduadicextended
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In this paper, we construct MDS Euclidean self-dual codes which are extended cyclic duadic codes. And we obtain many new MDS Euclidean self-dual codes. We also construct MDS Hermitian self-dual codes from generalized Reed-Solomon codes and constacyclic codes. And we give some results on Hermitian self-dual codes, which are the extended cyclic duadic codes.

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  1. Symmetry-guided constructions of absolutely maximally entangled states in five open cases

    quant-ph 2026-08 conditional novelty 7.0 of 10

    New explicit Hermitian self-dual MDS codes yield AME(12,5), AME(18,11), AME(18,13), and their 17-party projections.

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