Moments of isotropic measures and optimal projective codes
Mathematics - Metric Geometry
FOS: Mathematics
Mathematics - Combinatorics
Metric Geometry (math.MG)
0102 computer and information sciences
Combinatorics (math.CO)
01 natural sciences
DOI:
10.48550/arxiv.1904.11159
Publication Date:
2019-01-01
AUTHORS (1)
ABSTRACT
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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