Information on Result #510028

There is no (2, 16, 124)-net in base 16, because the generalized Rao bound for nets shows that 16m ≥ 18 506952 222034 991146 > 1616

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, 17, 124)-net in base 16 [i]m-Reduction
2No (2, 18, 124)-net in base 16 [i]
3No (2, 19, 124)-net in base 16 [i]
4No (2, 20, 124)-net in base 16 [i]
5No (2, 21, 124)-net in base 16 [i]
6No (2, 22, 124)-net in base 16 [i]
7No (2, 23, 124)-net in base 16 [i]
8No (2, 24, 124)-net in base 16 [i]
9No (2, 25, 124)-net in base 16 [i]