Information on Result #557450
There is no linear OOA(3201, 222, F3, 2, 133) (dual of [(222, 2), 243, 134]-NRT-code), because 1 step m-reduction would yield linear OA(3200, 222, F3, 132) (dual of [222, 22, 133]-code), but
- residual code [i] would yield OA(368, 89, S3, 44), but
- the linear programming bound shows that M ≥ 382869 271658 659016 501421 251365 993917 662001 / 1091 802985 > 368 [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(3201, 222, F3, 3, 133) (dual of [(222, 3), 465, 134]-NRT-code) | [i] | Depth Reduction | |
2 | No linear OOA(3201, 222, F3, 4, 133) (dual of [(222, 4), 687, 134]-NRT-code) | [i] | ||
3 | No linear OOA(3201, 222, F3, 5, 133) (dual of [(222, 5), 909, 134]-NRT-code) | [i] |