Information on Result #548052
There is no linear OA(2726, 123, F27, 25) (dual of [123, 97, 26]-code), because construction Y1 would yield
- linear OA(2725, 29, F27, 25) (dual of [29, 4, 26]-code or 29-arc in PG(24,27)), but
- OA(2797, 123, S27, 94), but
- discarding factors would yield OA(2797, 103, S27, 94), but
- 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 [i]
- discarding factors would yield OA(2797, 103, S27, 94), 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(2726, 123, F27, 2, 25) (dual of [(123, 2), 220, 26]-NRT-code) | [i] | Depth Reduction | |
| 2 | No digital (1, 26, 123)-net over F27 | [i] | Extracting Embedded Orthogonal Array | |