Information on Result #2174848
There is no linear OA(3240, 245, F3, 162) (dual of [245, 5, 163]-code), because 1 times code embedding in larger space would yield linear OA(3241, 246, F3, 162) (dual of [246, 5, 163]-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(3241, 245, F3, 2, 163) (dual of [(245, 2), 249, 164]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(3242, 245, F3, 2, 164) (dual of [(245, 2), 248, 165]-NRT-code) | [i] | ||
| 3 | No linear OOA(3243, 245, F3, 2, 165) (dual of [(245, 2), 247, 166]-NRT-code) | [i] | ||
| 4 | No linear OOA(3244, 245, F3, 2, 166) (dual of [(245, 2), 246, 167]-NRT-code) | [i] | ||
| 5 | No linear OOA(3245, 245, F3, 2, 167) (dual of [(245, 2), 245, 168]-NRT-code) | [i] | ||
| 6 | No linear OOA(3246, 245, F3, 2, 168) (dual of [(245, 2), 244, 169]-NRT-code) | [i] | ||
| 7 | No linear OOA(3247, 245, F3, 2, 169) (dual of [(245, 2), 243, 170]-NRT-code) | [i] | ||
| 8 | No linear OOA(3248, 245, F3, 2, 170) (dual of [(245, 2), 242, 171]-NRT-code) | [i] | ||
| 9 | No linear OOA(3249, 245, F3, 2, 171) (dual of [(245, 2), 241, 172]-NRT-code) | [i] | ||
| 10 | No linear OOA(3250, 245, F3, 2, 172) (dual of [(245, 2), 240, 173]-NRT-code) | [i] | ||
| 11 | No linear OOA(3240, 245, F3, 2, 162) (dual of [(245, 2), 250, 163]-NRT-code) | [i] | Depth Reduction | |
| 12 | No linear OOA(3240, 245, F3, 3, 162) (dual of [(245, 3), 495, 163]-NRT-code) | [i] | ||
| 13 | No linear OOA(3240, 245, F3, 4, 162) (dual of [(245, 4), 740, 163]-NRT-code) | [i] | ||
| 14 | No linear OOA(3240, 245, F3, 5, 162) (dual of [(245, 5), 985, 163]-NRT-code) | [i] | ||
| 15 | No digital (78, 240, 245)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |