Information on Result #547437
There is no linear OA(4247, 430, F4, 176) (dual of [430, 183, 177]-code), because residual code would yield OA(471, 253, S4, 44), but
- the linear programming bound shows that M ≥ 27385 603782 383297 661406 789870 071468 501212 578772 565955 567440 744927 980401 898659 225594 231422 713856 / 4741 255951 754751 821637 567787 914724 985401 817073 767747 > 471 [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(4248, 431, F4, 177) (dual of [431, 183, 178]-code) | [i] | Truncation | |
| 2 | No linear OA(4249, 432, F4, 178) (dual of [432, 183, 179]-code) | [i] | ||
| 3 | No linear OA(4250, 433, F4, 179) (dual of [433, 183, 180]-code) | [i] | ||
| 4 | No linear OOA(4248, 430, F4, 2, 177) (dual of [(430, 2), 612, 178]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4249, 430, F4, 2, 178) (dual of [(430, 2), 611, 179]-NRT-code) | [i] | ||
| 6 | No linear OOA(4250, 430, F4, 2, 179) (dual of [(430, 2), 610, 180]-NRT-code) | [i] | ||
| 7 | No linear OOA(4247, 430, F4, 2, 176) (dual of [(430, 2), 613, 177]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4247, 430, F4, 3, 176) (dual of [(430, 3), 1043, 177]-NRT-code) | [i] | ||
| 9 | No digital (71, 247, 430)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |