Information on Result #546987
There is no linear OA(3224, 233, F3, 150) (dual of [233, 9, 151]-code), because residual code would yield OA(374, 82, S3, 50), but
- the linear programming bound shows that M ≥ 1133 201025 509985 412089 971278 248938 614941 / 5015 > 374 [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(3225, 234, F3, 151) (dual of [234, 9, 152]-code) | [i] | Truncation | |
| 2 | No linear OA(3226, 235, F3, 152) (dual of [235, 9, 153]-code) | [i] | ||
| 3 | No linear OOA(3225, 233, F3, 2, 151) (dual of [(233, 2), 241, 152]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3226, 233, F3, 2, 152) (dual of [(233, 2), 240, 153]-NRT-code) | [i] | ||
| 5 | No linear OOA(3227, 233, F3, 2, 153) (dual of [(233, 2), 239, 154]-NRT-code) | [i] | ||
| 6 | No linear OOA(3228, 233, F3, 2, 154) (dual of [(233, 2), 238, 155]-NRT-code) | [i] | ||
| 7 | No linear OOA(3229, 233, F3, 2, 155) (dual of [(233, 2), 237, 156]-NRT-code) | [i] | ||
| 8 | No linear OOA(3230, 233, F3, 2, 156) (dual of [(233, 2), 236, 157]-NRT-code) | [i] | ||
| 9 | No linear OOA(3231, 233, F3, 2, 157) (dual of [(233, 2), 235, 158]-NRT-code) | [i] | ||
| 10 | No linear OOA(3232, 233, F3, 2, 158) (dual of [(233, 2), 234, 159]-NRT-code) | [i] | ||
| 11 | No linear OOA(3233, 233, F3, 2, 159) (dual of [(233, 2), 233, 160]-NRT-code) | [i] | ||
| 12 | No linear OOA(3234, 233, F3, 2, 160) (dual of [(233, 2), 232, 161]-NRT-code) | [i] | ||
| 13 | No linear OOA(3235, 233, F3, 2, 161) (dual of [(233, 2), 231, 162]-NRT-code) | [i] | ||
| 14 | No linear OOA(3236, 233, F3, 2, 162) (dual of [(233, 2), 230, 163]-NRT-code) | [i] | ||
| 15 | No linear OOA(3237, 233, F3, 2, 163) (dual of [(233, 2), 229, 164]-NRT-code) | [i] | ||
| 16 | No linear OOA(3238, 233, F3, 2, 164) (dual of [(233, 2), 228, 165]-NRT-code) | [i] | ||
| 17 | No linear OOA(3239, 233, F3, 2, 165) (dual of [(233, 2), 227, 166]-NRT-code) | [i] | ||
| 18 | No linear OOA(3240, 233, F3, 2, 166) (dual of [(233, 2), 226, 167]-NRT-code) | [i] | ||
| 19 | No linear OOA(3241, 233, F3, 2, 167) (dual of [(233, 2), 225, 168]-NRT-code) | [i] | ||
| 20 | No linear OOA(3242, 233, F3, 2, 168) (dual of [(233, 2), 224, 169]-NRT-code) | [i] | ||
| 21 | No linear OOA(3243, 233, F3, 2, 169) (dual of [(233, 2), 223, 170]-NRT-code) | [i] | ||
| 22 | No linear OOA(3244, 233, F3, 2, 170) (dual of [(233, 2), 222, 171]-NRT-code) | [i] | ||
| 23 | No linear OOA(3245, 233, F3, 2, 171) (dual of [(233, 2), 221, 172]-NRT-code) | [i] | ||
| 24 | No linear OOA(3246, 233, F3, 2, 172) (dual of [(233, 2), 220, 173]-NRT-code) | [i] | ||
| 25 | No linear OOA(3247, 233, F3, 2, 173) (dual of [(233, 2), 219, 174]-NRT-code) | [i] | ||
| 26 | No linear OOA(3248, 233, F3, 2, 174) (dual of [(233, 2), 218, 175]-NRT-code) | [i] | ||
| 27 | No linear OOA(3249, 233, F3, 2, 175) (dual of [(233, 2), 217, 176]-NRT-code) | [i] | ||
| 28 | No linear OOA(3250, 233, F3, 2, 176) (dual of [(233, 2), 216, 177]-NRT-code) | [i] | ||
| 29 | No linear OOA(3224, 233, F3, 2, 150) (dual of [(233, 2), 242, 151]-NRT-code) | [i] | Depth Reduction | |
| 30 | No linear OOA(3224, 233, F3, 3, 150) (dual of [(233, 3), 475, 151]-NRT-code) | [i] | ||
| 31 | No linear OOA(3224, 233, F3, 4, 150) (dual of [(233, 4), 708, 151]-NRT-code) | [i] | ||
| 32 | No linear OOA(3224, 233, F3, 5, 150) (dual of [(233, 5), 941, 151]-NRT-code) | [i] | ||
| 33 | No digital (74, 224, 233)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |