Fabrício Caluza Machado

activity

20162022

most cited

k

-point semidefinite programming bounds for equiangular lines

13 citations · 16 across the 5 of their papers we have counts for

collaborators

Showing math.OCShow all

2 papers · 1 filter

math.OC2018★ 13 cited

$k$ -point semidefinite programming bounds for equiangular lines

David de Laat, Fabrício Caluza Machado, Fernando Mário de Oliveira Filho +1

We give 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…

math.OC2016

Improving the semidefinite programming bound for the kissing number by exploiting polynomial symmetry

Fabrício Caluza Machado, Fernando Mário de Oliveira Filho

The kissing number of $R^{n}$ is the maximum number of pairwise-nonoverlapping unit spheres that can simultaneously touch a central unit sphere. Mittelmann and Vallentin (20…

k-point semidefinite programming bounds for equiangular lines

Improving the semidefinite programming bound for the kissing number by exploiting polynomial symmetry

$k$ -point semidefinite programming bounds for equiangular lines