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New MDS Self-Dual Codes over Large Finite Fields

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arxiv 1004.1158 v1 pith:NNQPKQGR submitted 2010-04-07 cs.IT math.IT

classification cs.ITmath.IT
keywords codesfieldsfinitelargeself-dualarisecharacteristicsconstruct
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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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  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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