Information on Result #558870
There is no linear OOA(3246, 390, F3, 2, 157) (dual of [(390, 2), 534, 158]-NRT-code), because 1 step m-reduction would yield linear OA(3245, 390, F3, 156) (dual of [390, 145, 157]-code), but
- residual code [i] would yield linear OA(389, 233, F3, 52) (dual of [233, 144, 53]-code), but
- the Johnson bound shows that N ≤ 495 041572 388827 382337 917134 411719 483784 605757 670798 500294 630099 278193 < 3144 [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(3246, 390, F3, 3, 157) (dual of [(390, 3), 924, 158]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3246, 390, F3, 4, 157) (dual of [(390, 4), 1314, 158]-NRT-code) | [i] | ||
| 3 | No linear OOA(3246, 390, F3, 5, 157) (dual of [(390, 5), 1704, 158]-NRT-code) | [i] | ||