Information on Result #547568
There is no linear OA(7102, 257, F7, 84) (dual of [257, 155, 85]-code), because residual code would yield OA(718, 172, S7, 12), but
- the linear programming bound shows that M ≥ 4 737429 508718 418109 748150 / 2895 922947 > 718 [i]
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 OA(7103, 258, F7, 85) (dual of [258, 155, 86]-code) | [i] | Truncation | |
| 2 | No linear OA(7104, 259, F7, 86) (dual of [259, 155, 87]-code) | [i] | ||
| 3 | No linear OOA(7103, 257, F7, 2, 85) (dual of [(257, 2), 411, 86]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(7104, 257, F7, 2, 86) (dual of [(257, 2), 410, 87]-NRT-code) | [i] | ||
| 5 | No linear OOA(7102, 257, F7, 2, 84) (dual of [(257, 2), 412, 85]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(7102, 257, F7, 3, 84) (dual of [(257, 3), 669, 85]-NRT-code) | [i] | ||
| 7 | No digital (18, 102, 257)-net over F7 | [i] | Extracting Embedded Orthogonal Array | |