Information on Result #5056
There is no OA(3207, 212, S3, 141), because the (dual) Plotkin bound shows that M ≥ 47052 721287 394587 764057 094854 672253 553918 218437 190874 778408 030747 195017 485692 977810 906266 281547 645147 / 71 > 3207
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.
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 OA(3208, 213, S3, 142) | [i] | Truncation | |
| 2 | No OOA(3208, 212, S3, 2, 142) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(3209, 212, S3, 2, 143) | [i] | ||
| 4 | No OOA(3210, 212, S3, 2, 144) | [i] | ||
| 5 | No OOA(3211, 212, S3, 2, 145) | [i] | ||
| 6 | No OOA(3212, 212, S3, 2, 146) | [i] | ||
| 7 | No OOA(3213, 212, S3, 2, 147) | [i] | ||
| 8 | No OOA(3214, 212, S3, 2, 148) | [i] | ||
| 9 | No OOA(3215, 212, S3, 2, 149) | [i] | ||
| 10 | No OOA(3216, 212, S3, 2, 150) | [i] | ||
| 11 | No OOA(3217, 212, S3, 2, 151) | [i] | ||
| 12 | No OOA(3218, 212, S3, 2, 152) | [i] | ||
| 13 | No OOA(3219, 212, S3, 2, 153) | [i] | ||
| 14 | No OOA(3220, 212, S3, 2, 154) | [i] | ||
| 15 | No OOA(3221, 212, S3, 2, 155) | [i] | ||
| 16 | No OOA(3222, 212, S3, 2, 156) | [i] | ||
| 17 | No OOA(3223, 212, S3, 2, 157) | [i] | ||
| 18 | No OOA(3224, 212, S3, 2, 158) | [i] | ||
| 19 | No OOA(3225, 212, S3, 2, 159) | [i] | ||
| 20 | No OOA(3226, 212, S3, 2, 160) | [i] | ||
| 21 | No OOA(3227, 212, S3, 2, 161) | [i] | ||
| 22 | No OOA(3228, 212, S3, 2, 162) | [i] | ||
| 23 | No OOA(3229, 212, S3, 2, 163) | [i] | ||
| 24 | No OOA(3230, 212, S3, 2, 164) | [i] | ||
| 25 | No OOA(3231, 212, S3, 2, 165) | [i] | ||
| 26 | No OOA(3232, 212, S3, 2, 166) | [i] | ||
| 27 | No OOA(3233, 212, S3, 2, 167) | [i] | ||
| 28 | No OOA(3234, 212, S3, 2, 168) | [i] | ||
| 29 | No OOA(3235, 212, S3, 2, 169) | [i] | ||
| 30 | No OOA(3236, 212, S3, 2, 170) | [i] | ||
| 31 | No OOA(3237, 212, S3, 2, 171) | [i] | ||
| 32 | No OOA(3238, 212, S3, 2, 172) | [i] | ||
| 33 | No OOA(3239, 212, S3, 2, 173) | [i] | ||
| 34 | No OOA(3240, 212, S3, 2, 174) | [i] | ||
| 35 | No OOA(3241, 212, S3, 2, 175) | [i] | ||
| 36 | No OOA(3242, 212, S3, 2, 176) | [i] | ||
| 37 | No OOA(3243, 212, S3, 2, 177) | [i] | ||
| 38 | No OOA(3244, 212, S3, 2, 178) | [i] | ||
| 39 | No OOA(3245, 212, S3, 2, 179) | [i] | ||
| 40 | No OOA(3246, 212, S3, 2, 180) | [i] | ||
| 41 | No OOA(3247, 212, S3, 2, 181) | [i] | ||
| 42 | No OOA(3248, 212, S3, 2, 182) | [i] | ||
| 43 | No OOA(3249, 212, S3, 2, 183) | [i] | ||
| 44 | No OOA(3250, 212, S3, 2, 184) | [i] | ||
| 45 | No OOA(3207, 212, S3, 2, 141) | [i] | Depth Reduction | |
| 46 | No OOA(3207, 212, S3, 3, 141) | [i] | ||
| 47 | No OOA(3207, 212, S3, 4, 141) | [i] | ||
| 48 | No OOA(3207, 212, S3, 5, 141) | [i] | ||
| 49 | No (66, 207, 212)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |