Information on Result #547073
There is no linear OA(3250, 404, F3, 159) (dual of [404, 154, 160]-code), because residual code would yield linear OA(391, 244, F3, 53) (dual of [244, 153, 54]-code), but
- 1 times truncation [i] would yield linear OA(390, 243, F3, 52) (dual of [243, 153, 53]-code), but
- the Johnson bound shows that N ≤ 9 342763 491628 254791 739936 787780 423565 169992 498824 859636 256969 626845 605352 < 3153 [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 OOA(3250, 404, F3, 2, 159) (dual of [(404, 2), 558, 160]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3250, 404, F3, 3, 159) (dual of [(404, 3), 962, 160]-NRT-code) | [i] | ||
| 3 | No linear OOA(3250, 404, F3, 4, 159) (dual of [(404, 4), 1366, 160]-NRT-code) | [i] | ||
| 4 | No linear OOA(3250, 404, F3, 5, 159) (dual of [(404, 5), 1770, 160]-NRT-code) | [i] | ||
| 5 | No digital (91, 250, 404)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |