Information on Result #558643
There is no linear OOA(3240, 375, F3, 2, 154) (dual of [(375, 2), 510, 155]-NRT-code), because 1 step m-reduction would yield linear OA(3239, 375, F3, 153) (dual of [375, 136, 154]-code), but
- residual code [i] would yield linear OA(386, 221, F3, 51) (dual of [221, 135, 52]-code), but
- 1 times truncation [i] would yield linear OA(385, 220, F3, 50) (dual of [220, 135, 51]-code), but
- the Johnson bound shows that N ≤ 22905 993227 448745 319194 488151 012424 723463 351500 755461 393112 800141 < 3135 [i]
- 1 times truncation [i] would yield linear OA(385, 220, F3, 50) (dual of [220, 135, 51]-code), 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(3240, 375, F3, 3, 154) (dual of [(375, 3), 885, 155]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3240, 375, F3, 4, 154) (dual of [(375, 4), 1260, 155]-NRT-code) | [i] | ||
| 3 | No linear OOA(3240, 375, F3, 5, 154) (dual of [(375, 5), 1635, 155]-NRT-code) | [i] | ||