Information on Result #553695
There is no linear OOA(2204, 240, F2, 2, 99) (dual of [(240, 2), 276, 100]-NRT-code), because 1 step m-reduction would yield linear OA(2203, 240, F2, 98) (dual of [240, 37, 99]-code), but
- residual code [i] would yield OA(2105, 141, S2, 49), but
- 1 times truncation [i] would yield OA(2104, 140, S2, 48), but
- the linear programming bound shows that M ≥ 906615 640616 170781 657520 759485 197602 258944 / 38102 739675 > 2104 [i]
- 1 times truncation [i] would yield OA(2104, 140, S2, 48), 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(2204, 240, F2, 3, 99) (dual of [(240, 3), 516, 100]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2204, 240, F2, 4, 99) (dual of [(240, 4), 756, 100]-NRT-code) | [i] | ||
| 3 | No linear OOA(2204, 240, F2, 5, 99) (dual of [(240, 5), 996, 100]-NRT-code) | [i] | ||
| 4 | No linear OOA(2204, 240, F2, 6, 99) (dual of [(240, 6), 1236, 100]-NRT-code) | [i] | ||
| 5 | No linear OOA(2204, 240, F2, 7, 99) (dual of [(240, 7), 1476, 100]-NRT-code) | [i] | ||
| 6 | No linear OOA(2204, 240, F2, 8, 99) (dual of [(240, 8), 1716, 100]-NRT-code) | [i] | ||