Information on Result #547639

There is no linear OA(25104, 128, F25, 100) (dual of [128, 24, 101]-code), because residual code would yield linear OA(254, 27, F25, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,25)), but

Mode: Bound (linear).

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OA(25105, 129, F25, 101) (dual of [129, 24, 102]-code) [i]Truncation
2No linear OA(25106, 130, F25, 102) (dual of [130, 24, 103]-code) [i]
3No linear OA(25107, 131, F25, 103) (dual of [131, 24, 104]-code) [i]
4No linear OA(25108, 132, F25, 104) (dual of [132, 24, 105]-code) [i]
5No linear OA(25109, 133, F25, 105) (dual of [133, 24, 106]-code) [i]
6No linear OA(25110, 134, F25, 106) (dual of [134, 24, 107]-code) [i]
7No linear OOA(25105, 128, F25, 2, 101) (dual of [(128, 2), 151, 102]-NRT-code) [i]m-Reduction for OOAs
8No linear OOA(25106, 128, F25, 2, 102) (dual of [(128, 2), 150, 103]-NRT-code) [i]
9No linear OOA(25107, 128, F25, 2, 103) (dual of [(128, 2), 149, 104]-NRT-code) [i]
10No linear OOA(25108, 128, F25, 2, 104) (dual of [(128, 2), 148, 105]-NRT-code) [i]
11No linear OOA(25109, 128, F25, 2, 105) (dual of [(128, 2), 147, 106]-NRT-code) [i]
12No linear OOA(25110, 128, F25, 2, 106) (dual of [(128, 2), 146, 107]-NRT-code) [i]
13No linear OOA(25104, 128, F25, 2, 100) (dual of [(128, 2), 152, 101]-NRT-code) [i]Depth Reduction
14No digital (4, 104, 128)-net over F25 [i]Extracting Embedded Orthogonal Array