Information on Result #62951

There is no OA(2797, 103, S27, 94), because the linear programming bound shows that M ≥ 128 911025 055144 003712 512083 846133 074073 104655 021247 977332 109220 807942 928575 240457 586722 133506 291651 511625 988777 715999 325631 713723 671307 153546 411869 / 17 583797 > 2797

Mode: Bound.

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 OA(2798, 104, S27, 95) [i]Truncation
2No OA(2799, 105, S27, 96) [i]
3No OOA(2798, 103, S27, 2, 95) [i]m-Reduction for OOAs
4No OOA(2799, 103, S27, 2, 96) [i]
5No OOA(27100, 103, S27, 2, 97) [i]
6No OOA(27101, 103, S27, 2, 98) [i]
7No OOA(27102, 103, S27, 2, 99) [i]
8No OOA(27103, 103, S27, 2, 100) [i]
9No OOA(27104, 103, S27, 2, 101) [i]
10No OOA(27105, 103, S27, 2, 102) [i]
11No OOA(27106, 103, S27, 2, 103) [i]
12No OOA(27107, 103, S27, 2, 104) [i]
13No OOA(27108, 103, S27, 2, 105) [i]
14No OOA(27109, 103, S27, 2, 106) [i]
15No OOA(27110, 103, S27, 2, 107) [i]
16No OOA(2797, 103, S27, 2, 94) [i]Depth Reduction
17No (3, 97, 103)-net in base 27 [i]Extracting Embedded Orthogonal Array
18No linear OA(2726, 123, F27, 25) (dual of [123, 97, 26]-code) [i]Construction Y1 (Bound)