Information on Result #547385
There is no linear OA(4231, 334, F4, 168) (dual of [334, 103, 169]-code), because residual code would yield OA(463, 165, S4, 42), but
- the linear programming bound shows that M ≥ 34 077190 942729 726882 024839 335902 035522 717143 016283 935337 510998 524998 580004 361097 586089 334532 997120 / 383476 318008 814835 283839 224897 225684 554347 388608 827379 925139 > 463 [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(4232, 335, F4, 169) (dual of [335, 103, 170]-code) | [i] | Truncation | |
| 2 | No linear OA(4233, 336, F4, 170) (dual of [336, 103, 171]-code) | [i] | ||
| 3 | No linear OA(4234, 337, F4, 171) (dual of [337, 103, 172]-code) | [i] | ||
| 4 | No linear OOA(4232, 334, F4, 2, 169) (dual of [(334, 2), 436, 170]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4233, 334, F4, 2, 170) (dual of [(334, 2), 435, 171]-NRT-code) | [i] | ||
| 6 | No linear OOA(4234, 334, F4, 2, 171) (dual of [(334, 2), 434, 172]-NRT-code) | [i] | ||
| 7 | No linear OOA(4231, 334, F4, 2, 168) (dual of [(334, 2), 437, 169]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4231, 334, F4, 3, 168) (dual of [(334, 3), 771, 169]-NRT-code) | [i] | ||
| 9 | No digital (63, 231, 334)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |