A166116 Cardinality of point system found by an explicit construction in 2^n dimensions.

17, 481, 1351361

Offset

2,1

Comments

From Horvath. Note that the construction is not optimal, as they get a better point system with cardinality 135340 by modification of the construction. In this paper using the concept of the extended Hamming code we give a construction for dense packing of points at distance at least one in such unit cubes which dimension are a power of two. 17 is prime; 481 = 13 * 37 is semiprime; 1351361 = 11 * 43 * 2857.

Links

Table of n, a(n) for n=2..4.

A. G. Horvath, Packing points into a unit cube in higher space, Oct 06, 2009.

Crossrefs

Sequence in context: A239926 A111920 A296740 * A173148 A142368 A109305

Adjacent sequences: A166113 A166114 A166115 * A166117 A166118 A166119

Keyword

bref,nonn

Author

Jonathan Vos Post, Oct 06 2009

Status

approved