Information on Result #547367
There is no linear OA(4230, 404, F4, 164) (dual of [404, 174, 165]-code), because residual code would yield OA(466, 239, S4, 41), but
- the linear programming bound shows that M ≥ 222 701100 724979 298348 829615 805692 012896 998205 225198 824371 851659 244379 751219 018386 636800 / 38358 477730 413015 488846 745362 992009 108847 310917 > 466 [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(4231, 405, F4, 165) (dual of [405, 174, 166]-code) | [i] | Truncation | |
| 2 | No linear OA(4232, 406, F4, 166) (dual of [406, 174, 167]-code) | [i] | ||
| 3 | No linear OA(4233, 407, F4, 167) (dual of [407, 174, 168]-code) | [i] | ||
| 4 | No linear OOA(4231, 404, F4, 2, 165) (dual of [(404, 2), 577, 166]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4232, 404, F4, 2, 166) (dual of [(404, 2), 576, 167]-NRT-code) | [i] | ||
| 6 | No linear OOA(4233, 404, F4, 2, 167) (dual of [(404, 2), 575, 168]-NRT-code) | [i] | ||
| 7 | No linear OOA(4230, 404, F4, 2, 164) (dual of [(404, 2), 578, 165]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4230, 404, F4, 3, 164) (dual of [(404, 3), 982, 165]-NRT-code) | [i] | ||
| 9 | No digital (66, 230, 404)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |