k-Point semidefinite programming bounds for equiangular lines

نویسندگان

چکیده

We give a hierarchy of $k$-point bounds extending the Delsarte-Goethals-Seidel linear programming $2$-point bound and Bachoc-Vallentin semidefinite $3$-point for spherical codes. An optimized implementation this allows us to compute~$4$, $5$, $6$-point maximum number equiangular lines in Euclidean space with fixed common angle.

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ژورنال

عنوان ژورنال: Mathematical Programming

سال: 2021

ISSN: ['0025-5610', '1436-4646']

DOI: https://doi.org/10.1007/s10107-021-01638-x