Information on Result #558284
There is no linear OOA(3230, 355, F3, 2, 148) (dual of [(355, 2), 480, 149]-NRT-code), because 1 step m-reduction would yield linear OA(3229, 355, F3, 147) (dual of [355, 126, 148]-code), but
- residual code [i] would yield linear OA(382, 207, F3, 49) (dual of [207, 125, 50]-code), but
- 1 times truncation [i] would yield linear OA(381, 206, F3, 48) (dual of [206, 125, 49]-code), but
- the Johnson bound shows that N ≤ 390067 621362 525166 675859 888729 736992 372634 079787 564789 713745 < 3125 [i]
- 1 times truncation [i] would yield linear OA(381, 206, F3, 48) (dual of [206, 125, 49]-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(3230, 355, F3, 3, 148) (dual of [(355, 3), 835, 149]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3230, 355, F3, 4, 148) (dual of [(355, 4), 1190, 149]-NRT-code) | [i] | ||
| 3 | No linear OOA(3230, 355, F3, 5, 148) (dual of [(355, 5), 1545, 149]-NRT-code) | [i] | ||