Information on Result #547387
There is no linear OA(4233, 365, F4, 168) (dual of [365, 132, 169]-code), because residual code would yield OA(465, 196, S4, 42), but
- the linear programming bound shows that M ≥ 396900 403316 059479 106808 484395 402977 413951 648726 549399 691598 760260 216224 172313 340280 832000 / 276 682488 299206 750393 648129 881706 051242 679804 397123 > 465 [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(4234, 366, F4, 169) (dual of [366, 132, 170]-code) | [i] | Truncation | |
| 2 | No linear OA(4235, 367, F4, 170) (dual of [367, 132, 171]-code) | [i] | ||
| 3 | No linear OA(4236, 368, F4, 171) (dual of [368, 132, 172]-code) | [i] | ||
| 4 | No linear OOA(4234, 365, F4, 2, 169) (dual of [(365, 2), 496, 170]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4235, 365, F4, 2, 170) (dual of [(365, 2), 495, 171]-NRT-code) | [i] | ||
| 6 | No linear OOA(4236, 365, F4, 2, 171) (dual of [(365, 2), 494, 172]-NRT-code) | [i] | ||
| 7 | No linear OOA(4233, 365, F4, 2, 168) (dual of [(365, 2), 497, 169]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4233, 365, F4, 3, 168) (dual of [(365, 3), 862, 169]-NRT-code) | [i] | ||
| 9 | No digital (65, 233, 365)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |