Information on Result #5053
There is no OA(3204, 209, S3, 139), because the (dual) Plotkin bound shows that M ≥ 1742 693381 014614 361631 744253 876750 131626 600682 858921 288089 186323 970185 832803 443622 626158 010427 690561 / 70 > 3204
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(3205, 210, S3, 140) | [i] | Truncation | |
| 2 | No OOA(3205, 209, S3, 2, 140) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(3206, 209, S3, 2, 141) | [i] | ||
| 4 | No OOA(3207, 209, S3, 2, 142) | [i] | ||
| 5 | No OOA(3208, 209, S3, 2, 143) | [i] | ||
| 6 | No OOA(3209, 209, S3, 2, 144) | [i] | ||
| 7 | No OOA(3210, 209, S3, 2, 145) | [i] | ||
| 8 | No OOA(3211, 209, S3, 2, 146) | [i] | ||
| 9 | No OOA(3212, 209, S3, 2, 147) | [i] | ||
| 10 | No OOA(3213, 209, S3, 2, 148) | [i] | ||
| 11 | No OOA(3214, 209, S3, 2, 149) | [i] | ||
| 12 | No OOA(3215, 209, S3, 2, 150) | [i] | ||
| 13 | No OOA(3216, 209, S3, 2, 151) | [i] | ||
| 14 | No OOA(3217, 209, S3, 2, 152) | [i] | ||
| 15 | No OOA(3218, 209, S3, 2, 153) | [i] | ||
| 16 | No OOA(3219, 209, S3, 2, 154) | [i] | ||
| 17 | No OOA(3220, 209, S3, 2, 155) | [i] | ||
| 18 | No OOA(3221, 209, S3, 2, 156) | [i] | ||
| 19 | No OOA(3222, 209, S3, 2, 157) | [i] | ||
| 20 | No OOA(3223, 209, S3, 2, 158) | [i] | ||
| 21 | No OOA(3224, 209, S3, 2, 159) | [i] | ||
| 22 | No OOA(3225, 209, S3, 2, 160) | [i] | ||
| 23 | No OOA(3226, 209, S3, 2, 161) | [i] | ||
| 24 | No OOA(3227, 209, S3, 2, 162) | [i] | ||
| 25 | No OOA(3228, 209, S3, 2, 163) | [i] | ||
| 26 | No OOA(3229, 209, S3, 2, 164) | [i] | ||
| 27 | No OOA(3230, 209, S3, 2, 165) | [i] | ||
| 28 | No OOA(3231, 209, S3, 2, 166) | [i] | ||
| 29 | No OOA(3232, 209, S3, 2, 167) | [i] | ||
| 30 | No OOA(3233, 209, S3, 2, 168) | [i] | ||
| 31 | No OOA(3234, 209, S3, 2, 169) | [i] | ||
| 32 | No OOA(3235, 209, S3, 2, 170) | [i] | ||
| 33 | No OOA(3236, 209, S3, 2, 171) | [i] | ||
| 34 | No OOA(3237, 209, S3, 2, 172) | [i] | ||
| 35 | No OOA(3238, 209, S3, 2, 173) | [i] | ||
| 36 | No OOA(3239, 209, S3, 2, 174) | [i] | ||
| 37 | No OOA(3240, 209, S3, 2, 175) | [i] | ||
| 38 | No OOA(3241, 209, S3, 2, 176) | [i] | ||
| 39 | No OOA(3242, 209, S3, 2, 177) | [i] | ||
| 40 | No OOA(3243, 209, S3, 2, 178) | [i] | ||
| 41 | No OOA(3244, 209, S3, 2, 179) | [i] | ||
| 42 | No OOA(3245, 209, S3, 2, 180) | [i] | ||
| 43 | No OOA(3246, 209, S3, 2, 181) | [i] | ||
| 44 | No OOA(3247, 209, S3, 2, 182) | [i] | ||
| 45 | No OOA(3248, 209, S3, 2, 183) | [i] | ||
| 46 | No OOA(3249, 209, S3, 2, 184) | [i] | ||
| 47 | No OOA(3250, 209, S3, 2, 185) | [i] | ||
| 48 | No OOA(3204, 209, S3, 2, 139) | [i] | Depth Reduction | |
| 49 | No OOA(3204, 209, S3, 3, 139) | [i] | ||
| 50 | No OOA(3204, 209, S3, 4, 139) | [i] | ||
| 51 | No OOA(3204, 209, S3, 5, 139) | [i] | ||
| 52 | No (65, 204, 209)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |