Information on Result #562708
There is no linear OOA(5138, 277, F5, 2, 106) (dual of [(277, 2), 416, 107]-NRT-code), because 1 step m-reduction would yield linear OA(5137, 277, F5, 105) (dual of [277, 140, 106]-code), but
- residual code [i] would yield OA(532, 171, S5, 21), but
- 1 times truncation [i] would yield OA(531, 170, S5, 20), but
- the linear programming bound shows that M ≥ 42216 069885 091800 891878 320552 825927 734375 / 8 765861 509813 289221 > 531 [i]
- 1 times truncation [i] would yield OA(531, 170, S5, 20), 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(5138, 277, F5, 3, 106) (dual of [(277, 3), 693, 107]-NRT-code) | [i] | Depth Reduction | |