"… really we should use larger boxes." — Ursula K. Le Guin
"The Steiner system S (5, 8, 24) is a block design
made up of 24 points and 759 blocks, each of size 8,
with the property that every 5 points lie in exactly one block.
This design is naturally associated with the Golay code, and
its automorphism group is the simple Mathieu group M24;
see [3, Ch. 11].
3. J.H. Conway and N.J.A. Sloane, Sphere Packings,
Lattices and Groups, Springer-Verlag, New York, 1988."
— New Zealand Journal of Mathematics,
Volume 25 (1996), 133-139.
"Markings of the Golay Code," by
Marston Conder and John McKay.
(Received July 1995.)
See also the Harlan Kane Special from Broomsday 2023.
That post relates properties of the 4×4 box (Cullinane, 1979)
to those of the 4×6 box (Conway and Sloane, 1988, without
mention of Cullinane 1979).