Information on Result #547164
There is no linear OA(4161, 270, F4, 116) (dual of [270, 109, 117]-code), because residual code would yield OA(445, 153, S4, 29), but
- the linear programming bound shows that M ≥ 7517 583831 016520 242073 479093 750904 250086 178891 069652 992000 / 5 746365 386535 716878 418589 713479 > 445 [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 OA(4162, 271, F4, 117) (dual of [271, 109, 118]-code) | [i] | Truncation | |
| 2 | No linear OA(4163, 272, F4, 118) (dual of [272, 109, 119]-code) | [i] | ||
| 3 | No linear OA(4164, 273, F4, 119) (dual of [273, 109, 120]-code) | [i] | ||
| 4 | No linear OOA(4162, 270, F4, 2, 117) (dual of [(270, 2), 378, 118]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4163, 270, F4, 2, 118) (dual of [(270, 2), 377, 119]-NRT-code) | [i] | ||
| 6 | No linear OOA(4164, 270, F4, 2, 119) (dual of [(270, 2), 376, 120]-NRT-code) | [i] | ||
| 7 | No linear OOA(4161, 270, F4, 2, 116) (dual of [(270, 2), 379, 117]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4161, 270, F4, 3, 116) (dual of [(270, 3), 649, 117]-NRT-code) | [i] | ||
| 9 | No digital (45, 161, 270)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |