Information on Result #547458
There is no linear OA(4249, 376, F4, 180) (dual of [376, 127, 181]-code), because residual code would yield OA(469, 195, S4, 45), but
- the linear programming bound shows that M ≥ 82 828010 425088 398135 365726 677314 464149 340113 774380 345347 664035 522400 039552 947596 743692 557981 180235 874304 000000 / 227 578582 237535 291818 752893 814619 068871 044126 923591 235904 712727 792773 > 469 [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(4250, 377, F4, 181) (dual of [377, 127, 182]-code) | [i] | Truncation | |
| 2 | No linear OA(4251, 378, F4, 182) (dual of [378, 127, 183]-code) | [i] | ||
| 3 | No linear OA(4252, 379, F4, 183) (dual of [379, 127, 184]-code) | [i] | ||
| 4 | No linear OOA(4250, 376, F4, 2, 181) (dual of [(376, 2), 502, 182]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4251, 376, F4, 2, 182) (dual of [(376, 2), 501, 183]-NRT-code) | [i] | ||
| 6 | No linear OOA(4252, 376, F4, 2, 183) (dual of [(376, 2), 500, 184]-NRT-code) | [i] | ||
| 7 | No linear OOA(4249, 376, F4, 2, 180) (dual of [(376, 2), 503, 181]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4249, 376, F4, 3, 180) (dual of [(376, 3), 879, 181]-NRT-code) | [i] | ||
| 9 | No digital (69, 249, 376)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |