Information on Result #547165
There is no linear OA(4162, 291, F4, 116) (dual of [291, 129, 117]-code), because residual code would yield OA(446, 174, S4, 29), but
- the linear programming bound shows that M ≥ 8506 289708 537907 430011 501124 929257 400094 961052 942336 000000 / 1 703346 550862 338223 360728 253441 > 446 [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(4163, 292, F4, 117) (dual of [292, 129, 118]-code) | [i] | Truncation | |
| 2 | No linear OA(4164, 293, F4, 118) (dual of [293, 129, 119]-code) | [i] | ||
| 3 | No linear OA(4165, 294, F4, 119) (dual of [294, 129, 120]-code) | [i] | ||
| 4 | No linear OOA(4163, 291, F4, 2, 117) (dual of [(291, 2), 419, 118]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4164, 291, F4, 2, 118) (dual of [(291, 2), 418, 119]-NRT-code) | [i] | ||
| 6 | No linear OOA(4165, 291, F4, 2, 119) (dual of [(291, 2), 417, 120]-NRT-code) | [i] | ||
| 7 | No linear OOA(4162, 291, F4, 2, 116) (dual of [(291, 2), 420, 117]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4162, 291, F4, 3, 116) (dual of [(291, 3), 711, 117]-NRT-code) | [i] | ||
| 9 | No digital (46, 162, 291)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |