Information on Result #563486
There is no linear OOA(8158, 238, F8, 2, 137) (dual of [(238, 2), 318, 138]-NRT-code), because 1 step m-reduction would yield linear OA(8157, 238, F8, 136) (dual of [238, 81, 137]-code), but
- residual code [i] would yield OA(821, 101, S8, 17), but
- 1 times truncation [i] would yield OA(820, 100, S8, 16), but
- the linear programming bound shows that M ≥ 766 916854 670851 025894 998613 688320 / 621 810617 698353 > 820 [i]
- 1 times truncation [i] would yield OA(820, 100, S8, 16), 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(8158, 238, F8, 3, 137) (dual of [(238, 3), 556, 138]-NRT-code) | [i] | Depth Reduction | |