6 citations · 10 across the 4 of their papers we have counts for
4 papers
The Optimal Isodual Lattice Quantizer in Three Dimensions
J. H. Conway, N. J. A. Sloane
The mean-centered cuboidal (or m.c.c.) lattice is known to be the optimal packing and covering among all isodual three-dimensional lattices. In this note we show that it is also th…
A Note on Optimal Unimodular Lattices
J. H. Conway, N. J. A. Sloane
The highest possible minimal norm of a unimodular lattice is determined in dimensions n <= 33. There are precisely five odd 32-dimensional lattices with the highest possible minima…
The Antipode Construction for Sphere Packings
J. H. Conway, N. J. A. Sloane
A construction for sphere packings is introduced that is parallel to the ``anticode'' construction for codes. This provides a simple way to view Vardy's recent 20-dimensional spher…
The Primary Pretenders
J. H. Conway, R. K. Guy, W. A. Schneeberger +1
We call a composite number q such that there exists a positive integer b with b^p == b (mod q) a prime pretender to base b. The least prime pretender to base b is the primary prete…