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Semidefinite programming, harmonic analysis and coding theory

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arxiv 0909.4767 v2 pith:XUIQC4GQ submitted 2009-09-25 cs.IT math.IT

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keywords programmingsemidefinitealgebraicanalysiscimpacodingcombinatoricscourse
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These lecture notes where presented as a course of the CIMPA summer school in Manila, July 20-30, 2009, Semidefinite programming in algebraic combinatorics. This version is an update June 2010.

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  1. Continuous-Variable Quantum MacWilliams Identities

    quant-ph 2025-02 conditional novelty 7.0 of 10

    Continuous-variable quantum MacWilliams identities yield quantum Cohn-Elkies and Levenshtein bounds, and conditional optimality of E8/Leech GKP codes.

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