Information on Result #551887
There is no linear OOA(2138, 176, F2, 2, 67) (dual of [(176, 2), 214, 68]-NRT-code), because 1 step m-reduction would yield linear OA(2137, 176, F2, 66) (dual of [176, 39, 67]-code), but
- residual code [i] would yield OA(271, 109, S2, 33), but
- 1 times truncation [i] would yield OA(270, 108, S2, 32), but
- the linear programming bound shows that M ≥ 4 297708 243581 570312 211812 843520 / 3462 071301 > 270 [i]
- 1 times truncation [i] would yield OA(270, 108, S2, 32), 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(2138, 176, F2, 3, 67) (dual of [(176, 3), 390, 68]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2138, 176, F2, 4, 67) (dual of [(176, 4), 566, 68]-NRT-code) | [i] | ||
| 3 | No linear OOA(2138, 176, F2, 5, 67) (dual of [(176, 5), 742, 68]-NRT-code) | [i] | ||
| 4 | No linear OOA(2138, 176, F2, 6, 67) (dual of [(176, 6), 918, 68]-NRT-code) | [i] | ||
| 5 | No linear OOA(2138, 176, F2, 7, 67) (dual of [(176, 7), 1094, 68]-NRT-code) | [i] | ||
| 6 | No linear OOA(2138, 176, F2, 8, 67) (dual of [(176, 8), 1270, 68]-NRT-code) | [i] | ||