Information on Result #546748
There is no linear OA(3184, 279, F3, 117) (dual of [279, 95, 118]-code), because residual code would yield OA(367, 161, S3, 39), but
- the linear programming bound shows that M ≥ 7869 930401 701596 807600 626345 198645 987250 178540 123516 450258 613760 580612 231642 212759 197575 489472 106615 287923 905883 555477 227637 750454 750095 263289 921478 546175 064686 283056 062869 623904 743004 569600 / 82 148594 495356 629216 229580 554269 756505 456638 376053 336365 080668 371924 625544 809288 130216 022035 376144 707077 418285 944925 300421 885924 252263 109749 469346 381267 111193 > 367 [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(3185, 280, F3, 118) (dual of [280, 95, 119]-code) | [i] | Truncation | |
| 2 | No linear OA(3186, 281, F3, 119) (dual of [281, 95, 120]-code) | [i] | ||
| 3 | No linear OOA(3185, 279, F3, 2, 118) (dual of [(279, 2), 373, 119]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3186, 279, F3, 2, 119) (dual of [(279, 2), 372, 120]-NRT-code) | [i] | ||
| 5 | No linear OOA(3184, 279, F3, 2, 117) (dual of [(279, 2), 374, 118]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3184, 279, F3, 3, 117) (dual of [(279, 3), 653, 118]-NRT-code) | [i] | ||
| 7 | No linear OOA(3184, 279, F3, 4, 117) (dual of [(279, 4), 932, 118]-NRT-code) | [i] | ||
| 8 | No linear OOA(3184, 279, F3, 5, 117) (dual of [(279, 5), 1211, 118]-NRT-code) | [i] | ||
| 9 | No digital (67, 184, 279)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |