Information on Result #547383
There is no linear OA(4229, 304, F4, 168) (dual of [304, 75, 169]-code), because residual code would yield OA(461, 135, S4, 42), but
- the linear programming bound shows that M ≥ 14553 096315 947253 640884 776913 168926 302451 665455 919283 135527 723519 103281 609358 744533 636652 915559 579757 398043 602406 873493 852833 510337 625815 402107 895808 / 2665 663747 457635 051830 020094 359849 599949 322414 129592 914794 116842 536378 425306 982781 909625 123448 656307 846295 612863 > 461 [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(4230, 305, F4, 169) (dual of [305, 75, 170]-code) | [i] | Truncation | |
| 2 | No linear OA(4231, 306, F4, 170) (dual of [306, 75, 171]-code) | [i] | ||
| 3 | No linear OA(4232, 307, F4, 171) (dual of [307, 75, 172]-code) | [i] | ||
| 4 | No linear OOA(4230, 304, F4, 2, 169) (dual of [(304, 2), 378, 170]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4231, 304, F4, 2, 170) (dual of [(304, 2), 377, 171]-NRT-code) | [i] | ||
| 6 | No linear OOA(4232, 304, F4, 2, 171) (dual of [(304, 2), 376, 172]-NRT-code) | [i] | ||
| 7 | No linear OOA(4229, 304, F4, 2, 168) (dual of [(304, 2), 379, 169]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4229, 304, F4, 3, 168) (dual of [(304, 3), 683, 169]-NRT-code) | [i] | ||
| 9 | No digital (61, 229, 304)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |