Information on Result #560173
There is no linear OOA(4182, 237, F4, 2, 135) (dual of [(237, 2), 292, 136]-NRT-code), because 3 step m-reduction would yield linear OA(4179, 237, F4, 132) (dual of [237, 58, 133]-code), but
- residual code [i] would yield OA(447, 104, S4, 33), but
- the linear programming bound shows that M ≥ 1174 046639 191630 223681 185273 503735 047219 518200 396804 079380 889257 898555 970298 959666 030187 642880 / 54879 229485 183725 296974 155563 481145 282045 055361 543282 990010 805653 > 447 [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(4182, 237, F4, 3, 135) (dual of [(237, 3), 529, 136]-NRT-code) | [i] | Depth Reduction | |