Information on Result #547301
There is no linear OA(4212, 354, F4, 152) (dual of [354, 142, 153]-code), because residual code would yield OA(460, 201, S4, 38), but
- the linear programming bound shows that M ≥ 73089 680874 254803 480484 380402 731584 606836 512208 238432 667847 363593 365796 276173 537280 / 52941 428031 033877 887534 646852 798421 725736 559559 > 460 [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(4213, 355, F4, 153) (dual of [355, 142, 154]-code) | [i] | Truncation | |
| 2 | No linear OA(4214, 356, F4, 154) (dual of [356, 142, 155]-code) | [i] | ||
| 3 | No linear OA(4215, 357, F4, 155) (dual of [357, 142, 156]-code) | [i] | ||
| 4 | No linear OOA(4213, 354, F4, 2, 153) (dual of [(354, 2), 495, 154]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4214, 354, F4, 2, 154) (dual of [(354, 2), 494, 155]-NRT-code) | [i] | ||
| 6 | No linear OOA(4215, 354, F4, 2, 155) (dual of [(354, 2), 493, 156]-NRT-code) | [i] | ||
| 7 | No linear OOA(4212, 354, F4, 2, 152) (dual of [(354, 2), 496, 153]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4212, 354, F4, 3, 152) (dual of [(354, 3), 850, 153]-NRT-code) | [i] | ||
| 9 | No digital (60, 212, 354)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |