Information on Result #598747

There is no digital (84, 172, 179)-net over F2, because extracting embedded orthogonal array would yield linear OA(2172, 179, F2, 88) (dual of [179, 7, 89]-code), but

Mode: Bound (linear).

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 digital (84, 173, 179)-net over F2 [i]m-Reduction
2No digital (84, 174, 179)-net over F2 [i]
3No digital (84, 175, 179)-net over F2 [i]
4No digital (84, 176, 179)-net over F2 [i]
5No digital (84, 177, 179)-net over F2 [i]
6No digital (84, 178, 179)-net over F2 [i]
7No digital (84, 179, 179)-net over F2 [i]
8No digital (84, 180, 179)-net over F2 [i]
9No digital (84, 181, 179)-net over F2 [i]
10No digital (84, 182, 179)-net over F2 [i]
11No digital (84, 183, 179)-net over F2 [i]
12No digital (84, 184, 179)-net over F2 [i]
13No digital (84, 185, 179)-net over F2 [i]
14No digital (84, 186, 179)-net over F2 [i]
15No digital (84, 187, 179)-net over F2 [i]
16No digital (84, 188, 179)-net over F2 [i]
17No digital (84, 189, 179)-net over F2 [i]