de Laat, David ORCID: 0000-0002-5178-1906, Machado, Fabricio Caluza, de Oliveira Filho, Fernando Mario and Vallentin, Frank . k-Point semidefinite programming bounds for equiangular lines. Math. Program.. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1436-4646

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Abstract

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

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
de Laat, DavidUNSPECIFIEDorcid.org/0000-0002-5178-1906UNSPECIFIED
Machado, Fabricio CaluzaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
de Oliveira Filho, Fernando MarioUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Vallentin, FrankUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-580528
DOI: 10.1007/s10107-021-01638-x
Journal or Publication Title: Math. Program.
Publisher: SPRINGER HEIDELBERG
Place of Publication: HEIDELBERG
ISSN: 1436-4646
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
SETSMultiple languages
Computer Science, Software Engineering; Operations Research & Management Science; Mathematics, AppliedMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/58052

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