Information on Result #512324

There is no (2, 18, 216)-net in base 25, because the generalized Rao bound for nets shows that 25m ≥ 14 881355 721034 799302 301185 > 2518

Mode: Bound.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No (2, 19, 216)-net in base 25 [i]m-Reduction
2No (2, 20, 216)-net in base 25 [i]
3No (2, 21, 216)-net in base 25 [i]
4No (2, 22, 216)-net in base 25 [i]
5No (2, 23, 216)-net in base 25 [i]
6No (2, 24, 216)-net in base 25 [i]
7No (2, 25, 216)-net in base 25 [i]
8No (2, 26, 216)-net in base 25 [i]
9No (2, 27, 216)-net in base 25 [i]
10No (2, 28, 216)-net in base 25 [i]
11No (2, 29, 216)-net in base 25 [i]
12No (2, 30, 216)-net in base 25 [i]
13No (2, 31, 216)-net in base 25 [i]
14No (2, 32, 216)-net in base 25 [i]
15No (2, 33, 216)-net in base 25 [i]
16No (2, 34, 216)-net in base 25 [i]