Information on Result #556661
There is no linear OOA(3157, 164, F3, 2, 106) (dual of [(164, 2), 171, 107]-NRT-code), because 1 step m-reduction would yield linear OA(3156, 164, F3, 105) (dual of [164, 8, 106]-code), but
- residual code [i] would yield OA(351, 58, S3, 35), but
- the linear programming bound shows that M ≥ 2151 540269 112482 208544 436253 / 946 > 351 [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(3157, 164, F3, 3, 106) (dual of [(164, 3), 335, 107]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3157, 164, F3, 4, 106) (dual of [(164, 4), 499, 107]-NRT-code) | [i] | ||
| 3 | No linear OOA(3157, 164, F3, 5, 106) (dual of [(164, 5), 663, 107]-NRT-code) | [i] | ||