Information on Result #557720
There is no linear OOA(3212, 363, F3, 2, 133) (dual of [(363, 2), 514, 134]-NRT-code), because 1 step m-reduction would yield linear OA(3211, 363, F3, 132) (dual of [363, 152, 133]-code), but
- residual code [i] would yield OA(379, 230, S3, 44), but
- 2 times truncation [i] would yield OA(377, 228, S3, 42), but
- the linear programming bound shows that M ≥ 5912 215514 524704 110906 945136 883000 212719 987869 884535 855049 744419 389403 700722 336619 158801 044684 / 1072 032675 663595 149019 556086 689047 982002 296477 532875 566121 > 377 [i]
- 2 times truncation [i] would yield OA(377, 228, S3, 42), 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(3212, 363, F3, 3, 133) (dual of [(363, 3), 877, 134]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3212, 363, F3, 4, 133) (dual of [(363, 4), 1240, 134]-NRT-code) | [i] | ||
| 3 | No linear OOA(3212, 363, F3, 5, 133) (dual of [(363, 5), 1603, 134]-NRT-code) | [i] | ||