Sphere packing in 24 dimensions: optimality of the Leech lattice

What changed

Proves that the Leech lattice achieves optimal sphere-packing density in 24 dimensions.

Scientific scope

Proves that the Leech lattice achieves optimal sphere-packing density in 24 dimensions. Scope limitation: Related to eight-dimensional packing, but a different theorem. All five authors are recorded together.

Evidence

Assessment uses the catalogue-linked source evidence for the stated contribution. Related to eight-dimensional packing, but a different theorem. All five authors are recorded together.

Contributors

• Henry Cohn · SCIENCE: Named source contributor; exact labor shares are not measured.
• Abhinav Kumar · SCIENCE: Named source contributor; exact labor shares are not measured.
• Stephen D. Miller · SCIENCE: Named source contributor; exact labor shares are not measured.
• Danylo Radchenko · SCIENCE: Named source contributor; exact labor shares are not measured.
• Maryna Viazovska · SCIENCE: Named source contributor; exact labor shares are not measured.

• Cohn et al., The sphere packing problem in dimension 24 (2016)

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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