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Moments of isotropic measures and optimal projective codes

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arxiv 1904.11159 v2 pith:4T3EX2XT submitted 2019-04-25 math.MG math.CO

Alexey Glazyrin This is my paper · ORCID
classification math.MGmath.CO
keywords boundscodesenergyisotropicmeasuresmomentsprojectiveapproach
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In this paper, we use the linear programming approach to find new upper bounds for the moments of isotropic measures. These bounds are then utilized for finding lower packing bounds and energy bounds for projective codes. We also show that the obtained energy bounds are sharp for several infinite families of codes.

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  1. Optimal measures for p-frame energies on spheres

    math.MG 2019-08 accept novelty 8.0 of 10

    Tight designs minimize p-frame energies over all probability measures for p between consecutive even integers, and the 600-cell does so on S3 for p in [8,10].

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