Information on Result #546858
There is no linear OA(3208, 259, F3, 135) (dual of [259, 51, 136]-code), because residual code would yield OA(373, 123, S3, 45), but
- the linear programming bound shows that M ≥ 2808 640754 709561 673413 288749 360382 305600 098849 480190 178164 374813 402246 542737 575036 629671 056464 419225 742014 266460 475560 838182 553344 275311 / 35976 248284 132713 371830 997095 816817 658282 486367 564623 621887 133661 233734 765511 477094 428331 280913 134080 > 373 [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(3209, 260, F3, 136) (dual of [260, 51, 137]-code) | [i] | Truncation | |
| 2 | No linear OA(3210, 261, F3, 137) (dual of [261, 51, 138]-code) | [i] | ||
| 3 | No linear OOA(3209, 259, F3, 2, 136) (dual of [(259, 2), 309, 137]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3210, 259, F3, 2, 137) (dual of [(259, 2), 308, 138]-NRT-code) | [i] | ||
| 5 | No linear OOA(3208, 259, F3, 2, 135) (dual of [(259, 2), 310, 136]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3208, 259, F3, 3, 135) (dual of [(259, 3), 569, 136]-NRT-code) | [i] | ||
| 7 | No linear OOA(3208, 259, F3, 4, 135) (dual of [(259, 4), 828, 136]-NRT-code) | [i] | ||
| 8 | No linear OOA(3208, 259, F3, 5, 135) (dual of [(259, 5), 1087, 136]-NRT-code) | [i] | ||
| 9 | No digital (73, 208, 259)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |