Information on Result #555212
There is no linear OOA(2259, 291, F2, 2, 127) (dual of [(291, 2), 323, 128]-NRT-code), because 1 step m-reduction would yield linear OA(2258, 291, F2, 126) (dual of [291, 33, 127]-code), but
- construction Y1 [i] would yield
- linear OA(2257, 281, F2, 126) (dual of [281, 24, 127]-code), but
- residual code [i] would yield linear OA(2131, 154, F2, 63) (dual of [154, 23, 64]-code), but
- OA(233, 291, S2, 10), but
- discarding factors would yield OA(233, 254, S2, 10), but
- the Rao or (dual) Hamming bound shows that M ≥ 8640 218941 > 233 [i]
- discarding factors would yield OA(233, 254, S2, 10), but
- linear OA(2257, 281, F2, 126) (dual of [281, 24, 127]-code), 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(2259, 291, F2, 3, 127) (dual of [(291, 3), 614, 128]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2259, 291, F2, 4, 127) (dual of [(291, 4), 905, 128]-NRT-code) | [i] | ||
| 3 | No linear OOA(2259, 291, F2, 5, 127) (dual of [(291, 5), 1196, 128]-NRT-code) | [i] | ||
| 4 | No linear OOA(2259, 291, F2, 6, 127) (dual of [(291, 6), 1487, 128]-NRT-code) | [i] | ||
| 5 | No linear OOA(2259, 291, F2, 7, 127) (dual of [(291, 7), 1778, 128]-NRT-code) | [i] | ||
| 6 | No linear OOA(2259, 291, F2, 8, 127) (dual of [(291, 8), 2069, 128]-NRT-code) | [i] | ||