Information on Result #556426
There is no linear OOA(3140, 160, F3, 2, 92) (dual of [(160, 2), 180, 93]-NRT-code), because 1 step m-reduction would yield linear OA(3139, 160, F3, 91) (dual of [160, 21, 92]-code), but
- construction Y1 [i] would yield
- OA(3138, 150, S3, 91), but
- the linear programming bound shows that M ≥ 13 106423 371120 876472 986931 421169 566720 811359 868949 528224 695915 065174 686944 / 17 599301 > 3138 [i]
- OA(321, 160, S3, 10), but
- discarding factors would yield OA(321, 133, S3, 10), but
- the Rao or (dual) Hamming bound shows that M ≥ 10487 287539 > 321 [i]
- discarding factors would yield OA(321, 133, S3, 10), but
- OA(3138, 150, S3, 91), but
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 OOA(3140, 160, F3, 3, 92) (dual of [(160, 3), 340, 93]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3140, 160, F3, 4, 92) (dual of [(160, 4), 500, 93]-NRT-code) | [i] | ||
| 3 | No linear OOA(3140, 160, F3, 5, 92) (dual of [(160, 5), 660, 93]-NRT-code) | [i] | ||