Information on Result #547298
There is no linear OA(4209, 307, F4, 152) (dual of [307, 98, 153]-code), because residual code would yield OA(457, 154, S4, 38), but
- the linear programming bound shows that M ≥ 797207 451366 565965 705395 219386 483301 387169 888973 699524 917197 426960 177348 462205 201075 404800 / 37 245253 436418 517434 670471 565022 824982 371808 117558 951421 > 457 [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(4210, 308, F4, 153) (dual of [308, 98, 154]-code) | [i] | Truncation | |
| 2 | No linear OA(4211, 309, F4, 154) (dual of [309, 98, 155]-code) | [i] | ||
| 3 | No linear OA(4212, 310, F4, 155) (dual of [310, 98, 156]-code) | [i] | ||
| 4 | No linear OOA(4210, 307, F4, 2, 153) (dual of [(307, 2), 404, 154]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4211, 307, F4, 2, 154) (dual of [(307, 2), 403, 155]-NRT-code) | [i] | ||
| 6 | No linear OOA(4212, 307, F4, 2, 155) (dual of [(307, 2), 402, 156]-NRT-code) | [i] | ||
| 7 | No linear OOA(4209, 307, F4, 2, 152) (dual of [(307, 2), 405, 153]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4209, 307, F4, 3, 152) (dual of [(307, 3), 712, 153]-NRT-code) | [i] | ||
| 9 | No digital (57, 209, 307)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |