Information on Result #546644
There is no linear OA(3145, 216, F3, 93) (dual of [216, 71, 94]-code), because residual code would yield OA(352, 122, S3, 31), but
- the linear programming bound shows that M ≥ 19725 986797 755777 852323 435596 460479 202036 641392 776622 387026 170595 661601 866699 763499 067224 083319 101071 843283 443846 889719 591360 / 2985 345408 219380 711117 519513 518083 267277 757151 882703 066172 010819 020295 476643 056764 180222 169772 636319 > 352 [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(3146, 217, F3, 94) (dual of [217, 71, 95]-code) | [i] | Truncation | |
| 2 | No linear OA(3147, 218, F3, 95) (dual of [218, 71, 96]-code) | [i] | ||
| 3 | No linear OOA(3146, 216, F3, 2, 94) (dual of [(216, 2), 286, 95]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3147, 216, F3, 2, 95) (dual of [(216, 2), 285, 96]-NRT-code) | [i] | ||
| 5 | No linear OOA(3145, 216, F3, 2, 93) (dual of [(216, 2), 287, 94]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3145, 216, F3, 3, 93) (dual of [(216, 3), 503, 94]-NRT-code) | [i] | ||
| 7 | No linear OOA(3145, 216, F3, 4, 93) (dual of [(216, 4), 719, 94]-NRT-code) | [i] | ||
| 8 | No linear OOA(3145, 216, F3, 5, 93) (dual of [(216, 5), 935, 94]-NRT-code) | [i] | ||
| 9 | No digital (52, 145, 216)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |