Information on Result #554821
There is no linear OOA(2247, 264, F2, 2, 123) (dual of [(264, 2), 281, 124]-NRT-code), because 1 step m-reduction would yield linear OA(2246, 264, F2, 122) (dual of [264, 18, 123]-code), but
- residual code [i] would yield OA(2124, 141, S2, 61), but
- 1 times truncation [i] would yield OA(2123, 140, S2, 60), but
- the linear programming bound shows that M ≥ 3 888746 889172 484760 459445 013730 247120 519168 / 329189 > 2123 [i]
- 1 times truncation [i] would yield OA(2123, 140, S2, 60), 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(2247, 264, F2, 3, 123) (dual of [(264, 3), 545, 124]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2247, 264, F2, 4, 123) (dual of [(264, 4), 809, 124]-NRT-code) | [i] | ||
| 3 | No linear OOA(2247, 264, F2, 5, 123) (dual of [(264, 5), 1073, 124]-NRT-code) | [i] | ||
| 4 | No linear OOA(2247, 264, F2, 6, 123) (dual of [(264, 6), 1337, 124]-NRT-code) | [i] | ||
| 5 | No linear OOA(2247, 264, F2, 7, 123) (dual of [(264, 7), 1601, 124]-NRT-code) | [i] | ||
| 6 | No linear OOA(2247, 264, F2, 8, 123) (dual of [(264, 8), 1865, 124]-NRT-code) | [i] | ||