Information on Result #552169
There is no linear OOA(2151, 172, F2, 2, 75) (dual of [(172, 2), 193, 76]-NRT-code), because 1 step m-reduction would yield linear OA(2150, 172, F2, 74) (dual of [172, 22, 75]-code), but
- residual code [i] would yield OA(276, 97, S2, 37), but
- 1 times truncation [i] would yield OA(275, 96, S2, 36), but
- the linear programming bound shows that M ≥ 22708 462595 641194 417680 809984 / 528333 > 275 [i]
- 1 times truncation [i] would yield OA(275, 96, S2, 36), 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(2151, 172, F2, 3, 75) (dual of [(172, 3), 365, 76]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2151, 172, F2, 4, 75) (dual of [(172, 4), 537, 76]-NRT-code) | [i] | ||
| 3 | No linear OOA(2151, 172, F2, 5, 75) (dual of [(172, 5), 709, 76]-NRT-code) | [i] | ||
| 4 | No linear OOA(2151, 172, F2, 6, 75) (dual of [(172, 6), 881, 76]-NRT-code) | [i] | ||
| 5 | No linear OOA(2151, 172, F2, 7, 75) (dual of [(172, 7), 1053, 76]-NRT-code) | [i] | ||
| 6 | No linear OOA(2151, 172, F2, 8, 75) (dual of [(172, 8), 1225, 76]-NRT-code) | [i] | ||