Information on Result #563503
There is no linear OOA(8162, 415, F8, 2, 137) (dual of [(415, 2), 668, 138]-NRT-code), because 1 step m-reduction would yield linear OA(8161, 415, F8, 136) (dual of [415, 254, 137]-code), but
- residual code [i] would yield OA(825, 278, S8, 17), but
- 1 times truncation [i] would yield OA(824, 277, S8, 16), but
- the linear programming bound shows that M ≥ 78638 403871 838919 782431 803777 157693 440000 / 16 504446 602386 301789 > 824 [i]
- 1 times truncation [i] would yield OA(824, 277, 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(8162, 415, F8, 3, 137) (dual of [(415, 3), 1083, 138]-NRT-code) | [i] | Depth Reduction | |