Information on Result #547390
There is no linear OA(4236, 415, F4, 168) (dual of [415, 179, 169]-code), because residual code would yield OA(468, 246, S4, 42), but
- the linear programming bound shows that M ≥ 8 266893 710032 655425 717892 686988 538675 685493 888138 140590 751265 026314 680838 406117 785600 000000 / 94 513486 949920 285641 128495 398550 971508 431933 193771 > 468 [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(4237, 416, F4, 169) (dual of [416, 179, 170]-code) | [i] | Truncation | |
| 2 | No linear OA(4238, 417, F4, 170) (dual of [417, 179, 171]-code) | [i] | ||
| 3 | No linear OA(4239, 418, F4, 171) (dual of [418, 179, 172]-code) | [i] | ||
| 4 | No linear OOA(4237, 415, F4, 2, 169) (dual of [(415, 2), 593, 170]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4238, 415, F4, 2, 170) (dual of [(415, 2), 592, 171]-NRT-code) | [i] | ||
| 6 | No linear OOA(4239, 415, F4, 2, 171) (dual of [(415, 2), 591, 172]-NRT-code) | [i] | ||
| 7 | No linear OOA(4236, 415, F4, 2, 168) (dual of [(415, 2), 594, 169]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4236, 415, F4, 3, 168) (dual of [(415, 3), 1009, 169]-NRT-code) | [i] | ||
| 9 | No digital (68, 236, 415)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |