Dual linear programming bounds for sphere packing via modular forms

DOI10.1090/mcom/3662OpenAlexW3153399329MaRDI QIDQ5018380

Henry Cohn, Nicholas Triantafillou

Publication date: 16 December 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.04772

Mathematics Subject Classification ID

Linear programming (90C05) Combinatorial optimization (90C27) Holomorphic modular forms of integral weight (11F11) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (4)

From sphere packing to Fourier interpolation ⋮ Perturbed interpolation formulae and applications ⋮ A quantitative stability result for the sphere packing problem in dimensions 8 and 24 ⋮ Dual bounds for the positive definite functions approach to mutually unbiased bases

Uses Software

• Magma
• SageMath

Cites Work

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