Information on Result #547402
There is no linear OA(4230, 246, F4, 172) (dual of [246, 16, 173]-code), because residual code would yield OA(458, 73, S4, 43), but
- the linear programming bound shows that M ≥ 2189 401164 029144 651258 105721 344079 901877 075968 / 23088 690625 > 458 [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.
Compare with Markus Grassl’s online database of code parameters.
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, 247, F4, 173) (dual of [247, 16, 174]-code) | [i] | Truncation | |
| 2 | No linear OA(4232, 248, F4, 174) (dual of [248, 16, 175]-code) | [i] | ||
| 3 | No linear OA(4233, 249, F4, 175) (dual of [249, 16, 176]-code) | [i] | ||
| 4 | No linear OOA(4231, 246, F4, 2, 173) (dual of [(246, 2), 261, 174]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4232, 246, F4, 2, 174) (dual of [(246, 2), 260, 175]-NRT-code) | [i] | ||
| 6 | No linear OOA(4233, 246, F4, 2, 175) (dual of [(246, 2), 259, 176]-NRT-code) | [i] | ||
| 7 | No linear OOA(4230, 246, F4, 2, 172) (dual of [(246, 2), 262, 173]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4230, 246, F4, 3, 172) (dual of [(246, 3), 508, 173]-NRT-code) | [i] | ||
| 9 | No digital (58, 230, 246)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |