Information on Result #253766
There is no OOA(3163, 42, S3, 4, 147), because the (dual) Plotkin bound for OOAs shows that M ≥ 26 544651 814199 643338 440247 651133 135698 218965 877468 993535 187581 097625 462811 569215 / 37 > 3163
Mode: Bound.
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 OOA(3164, 43, S3, 4, 148) | [i] | Truncation for OOAs | |
| 2 | No OOA(3165, 43, S3, 4, 149) | [i] | ||
| 3 | No OOA(3166, 43, S3, 4, 150) | [i] | ||
| 4 | No OOA(3167, 43, S3, 4, 151) | [i] | ||
| 5 | No OOA(3164, 42, S3, 5, 148) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(3165, 42, S3, 5, 149) | [i] | ||
| 7 | No OOA(3166, 42, S3, 5, 150) | [i] | ||
| 8 | No OOA(3167, 42, S3, 5, 151) | [i] | ||
| 9 | No OOA(3168, 42, S3, 5, 152) | [i] | ||
| 10 | No OOA(3169, 42, S3, 5, 153) | [i] | ||
| 11 | No OOA(3170, 42, S3, 5, 154) | [i] | ||
| 12 | No OOA(3171, 42, S3, 5, 155) | [i] | ||
| 13 | No OOA(3172, 42, S3, 5, 156) | [i] | ||
| 14 | No OOA(3173, 42, S3, 5, 157) | [i] | ||
| 15 | No OOA(3174, 42, S3, 5, 158) | [i] | ||
| 16 | No OOA(3175, 42, S3, 5, 159) | [i] | ||
| 17 | No OOA(3176, 42, S3, 5, 160) | [i] | ||
| 18 | No OOA(3177, 42, S3, 5, 161) | [i] | ||
| 19 | No OOA(3178, 42, S3, 5, 162) | [i] | ||
| 20 | No OOA(3179, 42, S3, 5, 163) | [i] | ||
| 21 | No OOA(3180, 42, S3, 5, 164) | [i] | ||
| 22 | No OOA(3181, 42, S3, 5, 165) | [i] | ||
| 23 | No OOA(3182, 42, S3, 5, 166) | [i] | ||
| 24 | No OOA(3183, 42, S3, 5, 167) | [i] | ||
| 25 | No OOA(3184, 42, S3, 5, 168) | [i] | ||
| 26 | No OOA(3185, 42, S3, 5, 169) | [i] | ||
| 27 | No OOA(3186, 42, S3, 5, 170) | [i] | ||
| 28 | No OOA(3187, 42, S3, 5, 171) | [i] | ||
| 29 | No OOA(3188, 42, S3, 5, 172) | [i] | ||
| 30 | No OOA(3189, 42, S3, 5, 173) | [i] | ||
| 31 | No OOA(3190, 42, S3, 5, 174) | [i] | ||
| 32 | No OOA(3191, 42, S3, 5, 175) | [i] | ||
| 33 | No OOA(3192, 42, S3, 5, 176) | [i] | ||
| 34 | No OOA(3193, 42, S3, 5, 177) | [i] | ||
| 35 | No OOA(3194, 42, S3, 5, 178) | [i] | ||
| 36 | No OOA(3195, 42, S3, 5, 179) | [i] | ||
| 37 | No OOA(3196, 42, S3, 5, 180) | [i] | ||
| 38 | No OOA(3197, 42, S3, 5, 181) | [i] | ||
| 39 | No OOA(3198, 42, S3, 5, 182) | [i] | ||
| 40 | No OOA(3199, 42, S3, 5, 183) | [i] | ||
| 41 | No OOA(3200, 42, S3, 5, 184) | [i] | ||
| 42 | No OOA(3201, 42, S3, 5, 185) | [i] | ||
| 43 | No OOA(3202, 42, S3, 5, 186) | [i] | ||
| 44 | No OOA(3203, 42, S3, 5, 187) | [i] | ||
| 45 | No OOA(3204, 42, S3, 5, 188) | [i] | ||
| 46 | No OOA(3163, 42, S3, 5, 147) | [i] | Depth Reduction | |
| 47 | No (16, 163, 42)-net in base 3 | [i] | Extracting Embedded OOA | |