Leech Lattice from E8³ Glued via Binary Golay Code G24 — E8 Intelligence Research

July 24, 2026Open Access

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Key Points

The aim is to construct the Leech lattice using E8 glue code and explore its mathematical properties.
Constructed Leech lattice from three copies of E8 using binary Golay code as glue.
Defined the weight enumerator of G24 and established the conditions for the lattice formation.
Analyzed the sphere packing density and kissing number related to the Leech lattice.
Achieved a minimal norm of 4 for the Leech lattice, resulting in a sphere packing density of approximately 0.00193.
Determined a kissing number of 196560 for the Leech lattice.
Identified a significant ratio (0.618) within the automorphism group of the Leech lattice.

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This research reveals the construction of Leech lattice using E8 lattice and binary Golay code, indicating advanced mathematical implications.

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Andrew Stewart Caldin (2026) studied this question.

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