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arXiv · 2412.07577

Energy of codes with forbidden distances in 48 dimensions

P. Boyvalenkov·P. Dragnev
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Abstract

We prove the universal optimality of four remarkable spherical 11-designs in 48 dimensions either among all antipodal codes, or all spherical 3-designs, whose inner-products avoid the set $T_1=(-1/3,-1/6) \cup (1/6,1/3)$. We also prove the universal optimality of these configurations among all codes whose distance-avoiding set is $T_2=(-1/2,-1/3) \cup (1/3,1/2)$.

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P. Boyvalenkov, P. Dragnev. 2024-12-10. Energy of codes with forbidden distances in 48 dimensions. https://arxiv.org/abs/2412.07577

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