Information on Result #555185
There is no linear OOA(2258, 253, F2, 2, 138) (dual of [(253, 2), 248, 139]-NRT-code), because 18 step m-reduction would yield linear OA(2240, 253, F2, 120) (dual of [253, 13, 121]-code), but
- residual code [i] would yield OA(2120, 132, S2, 60), but
- the linear programming bound shows that M ≥ 16503 694795 665515 477973 668460 440758 255616 / 10323 > 2120 [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(2258, 253, F2, 3, 138) (dual of [(253, 3), 501, 139]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2258, 253, F2, 4, 138) (dual of [(253, 4), 754, 139]-NRT-code) | [i] | ||
| 3 | No linear OOA(2258, 253, F2, 5, 138) (dual of [(253, 5), 1007, 139]-NRT-code) | [i] | ||
| 4 | No linear OOA(2258, 253, F2, 6, 138) (dual of [(253, 6), 1260, 139]-NRT-code) | [i] | ||
| 5 | No linear OOA(2258, 253, F2, 7, 138) (dual of [(253, 7), 1513, 139]-NRT-code) | [i] | ||
| 6 | No linear OOA(2258, 253, F2, 8, 138) (dual of [(253, 8), 1766, 139]-NRT-code) | [i] | ||