Information on Result #547262
There is no linear OA(4201, 340, F4, 144) (dual of [340, 139, 145]-code), because residual code would yield OA(457, 195, S4, 36), but
- the linear programming bound shows that M ≥ 494 490067 436667 455875 598203 818411 591542 653847 684514 372082 636620 702806 966272 / 22309 972171 916724 959618 830756 395146 773299 > 457 [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(4202, 341, F4, 145) (dual of [341, 139, 146]-code) | [i] | Truncation | |
| 2 | No linear OA(4203, 342, F4, 146) (dual of [342, 139, 147]-code) | [i] | ||
| 3 | No linear OA(4204, 343, F4, 147) (dual of [343, 139, 148]-code) | [i] | ||
| 4 | No linear OOA(4202, 340, F4, 2, 145) (dual of [(340, 2), 478, 146]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4203, 340, F4, 2, 146) (dual of [(340, 2), 477, 147]-NRT-code) | [i] | ||
| 6 | No linear OOA(4204, 340, F4, 2, 147) (dual of [(340, 2), 476, 148]-NRT-code) | [i] | ||
| 7 | No linear OOA(4201, 340, F4, 2, 144) (dual of [(340, 2), 479, 145]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4201, 340, F4, 3, 144) (dual of [(340, 3), 819, 145]-NRT-code) | [i] | ||
| 9 | No digital (57, 201, 340)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |