Information on Result #547122
There is no linear OA(4134, 244, F4, 96) (dual of [244, 110, 97]-code), because residual code would yield OA(438, 147, S4, 24), but
- the linear programming bound shows that M ≥ 5459 111453 470077 053881 598601 691985 346560 000000 / 69230 222284 404391 824599 > 438 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4135, 245, F4, 97) (dual of [245, 110, 98]-code) | [i] | Truncation | |
| 2 | No linear OA(4136, 246, F4, 98) (dual of [246, 110, 99]-code) | [i] | ||
| 3 | No linear OOA(4135, 244, F4, 2, 97) (dual of [(244, 2), 353, 98]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(4136, 244, F4, 2, 98) (dual of [(244, 2), 352, 99]-NRT-code) | [i] | ||
| 5 | No linear OOA(4134, 244, F4, 2, 96) (dual of [(244, 2), 354, 97]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(4134, 244, F4, 3, 96) (dual of [(244, 3), 598, 97]-NRT-code) | [i] | ||
| 7 | No digital (38, 134, 244)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(4110, 244, F4, 77) (dual of [244, 134, 78]-code) | [i] | Construction Y1 (Bound) | |