Information on Result #552548
There is no linear OOA(2166, 183, F2, 2, 83) (dual of [(183, 2), 200, 84]-NRT-code), because 1 step m-reduction would yield linear OA(2165, 183, F2, 82) (dual of [183, 18, 83]-code), but
- residual code [i] would yield OA(283, 100, S2, 41), but
- 1 times truncation [i] would yield OA(282, 99, S2, 40), but
- the linear programming bound shows that M ≥ 9903 520314 283042 199192 993792 / 1885 > 282 [i]
- 1 times truncation [i] would yield OA(282, 99, S2, 40), 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(2166, 183, F2, 3, 83) (dual of [(183, 3), 383, 84]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2166, 183, F2, 4, 83) (dual of [(183, 4), 566, 84]-NRT-code) | [i] | ||
| 3 | No linear OOA(2166, 183, F2, 5, 83) (dual of [(183, 5), 749, 84]-NRT-code) | [i] | ||
| 4 | No linear OOA(2166, 183, F2, 6, 83) (dual of [(183, 6), 932, 84]-NRT-code) | [i] | ||
| 5 | No linear OOA(2166, 183, F2, 7, 83) (dual of [(183, 7), 1115, 84]-NRT-code) | [i] | ||
| 6 | No linear OOA(2166, 183, F2, 8, 83) (dual of [(183, 8), 1298, 84]-NRT-code) | [i] | ||