Leech lattice

URI: https://gptkb.org/entity/Leech_lattice

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:lattice_(mathematics)
gptkbp:automorphismGroup	gptkb:Conway_group_Co0 gptkb:Conway_group_Co1 gptkb:Conway_group_Co2 gptkb:Conway_group_Co3
gptkbp:dimensions	24
gptkbp:discoveredBy	gptkb:John_Leech
gptkbp:discoveredIn	1965
gptkbp:hasNoRoots	true
gptkbp:hasNoVectorsOfNorm2	true
gptkbp:isEven	true
gptkbp:isEvenUnimodular	true
gptkbp:isIntegral	true
gptkbp:isSelfDual	true
gptkbp:isUnimodular	true
gptkbp:kissingNumber	196560
gptkbp:minimumNorm	4
gptkbp:namedAfter	gptkb:John_Leech
gptkbp:relatedTo	gptkb:Niemeier_lattices gptkb:Golay_code gptkb:Creature gptkb:Conway_groups
gptkbp:spherePackingDensity	highest known in 24 dimensions
gptkbp:usedIn	gptkb:sphere_packing coding theory group theory modular forms
gptkbp:bfsParent	gptkb:Conway_group gptkb:Golay_code gptkb:John_Leech gptkb:Conway–Sloane_sphere_packing gptkb:Conway–Thompson_group gptkb:Conway's_icosian_automorphism_lattice gptkb:Conway's_icosian_code gptkb:Conway's_icosian_ring
gptkbp:bfsLayer	6
https://www.w3.org/2000/01/rdf-schema#label	Leech lattice