Information on Result #558644
There is no linear OOA(3240, 366, F3, 2, 155) (dual of [(366, 2), 492, 156]-NRT-code), because 2 step m-reduction would yield linear OA(3238, 366, F3, 153) (dual of [366, 128, 154]-code), but
- residual code [i] would yield linear OA(385, 212, F3, 51) (dual of [212, 127, 52]-code), but
- 1 times truncation [i] would yield linear OA(384, 211, F3, 50) (dual of [211, 127, 51]-code), but
- the Johnson bound shows that N ≤ 3 465392 580935 096296 712977 980638 603324 843243 174078 085715 358657 < 3127 [i]
- 1 times truncation [i] would yield linear OA(384, 211, F3, 50) (dual of [211, 127, 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, 366, F3, 3, 155) (dual of [(366, 3), 858, 156]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3240, 366, F3, 4, 155) (dual of [(366, 4), 1224, 156]-NRT-code) | [i] | ||
| 3 | No linear OOA(3240, 366, F3, 5, 155) (dual of [(366, 5), 1590, 156]-NRT-code) | [i] | ||