Information on Result #547392
There is no linear OA(4238, 454, F4, 168) (dual of [454, 216, 169]-code), because residual code would yield OA(470, 285, S4, 42), but
- the linear programming bound shows that M ≥ 2 520198 658998 621179 007148 715142 691743 667539 102383 827900 254205 426285 806015 463738 326023 123475 890176 / 1 791905 782922 287300 464200 415513 167226 158849 588749 853743 > 470 [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(4239, 455, F4, 169) (dual of [455, 216, 170]-code) | [i] | Truncation | |
| 2 | No linear OA(4240, 456, F4, 170) (dual of [456, 216, 171]-code) | [i] | ||
| 3 | No linear OA(4241, 457, F4, 171) (dual of [457, 216, 172]-code) | [i] | ||
| 4 | No linear OOA(4239, 454, F4, 2, 169) (dual of [(454, 2), 669, 170]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4240, 454, F4, 2, 170) (dual of [(454, 2), 668, 171]-NRT-code) | [i] | ||
| 6 | No linear OOA(4241, 454, F4, 2, 171) (dual of [(454, 2), 667, 172]-NRT-code) | [i] | ||
| 7 | No linear OOA(4238, 454, F4, 2, 168) (dual of [(454, 2), 670, 169]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4238, 454, F4, 3, 168) (dual of [(454, 3), 1124, 169]-NRT-code) | [i] | ||
| 9 | No digital (70, 238, 454)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |