The covering radius of the Leech lattice

  title={The covering radius of the Leech lattice},
  author={John H. Conway and Richard Parker and N. J. A. Sloane},
  journal={Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences},
  pages={261 - 290}
We investigate the points in 24-dimensional space at maximum distance from the Leech lattice, i. e. the ‘deepest holes’ in that lattice. The maximum distance of any such point from the Leech lattice is shown to be 1/√2 times the minimum distance between the lattice points. Furthermore there are 23 types of ‘deepest hole’, one for each of the 23 even unimodular 24-dimensional lattices found by Niemeier. 
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John Horton Conway. 26 December 1937—11 April 2020
John Conway was without doubt one of the most celebrated British mathematicians of the last half century. He first gained international recognition in 1968 when he constructed the automorphism group


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