Information on Result #547365
There is no linear OA(4228, 368, F4, 164) (dual of [368, 140, 165]-code), because residual code would yield OA(464, 203, S4, 41), but
- the linear programming bound shows that M ≥ 9237 828678 014661 888733 201438 074087 629177 850315 553208 766694 988543 356653 154675 278877 490717 655040 / 25 848321 162508 053807 967718 560003 483887 415061 992757 599441 > 464 [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(4229, 369, F4, 165) (dual of [369, 140, 166]-code) | [i] | Truncation | |
| 2 | No linear OA(4230, 370, F4, 166) (dual of [370, 140, 167]-code) | [i] | ||
| 3 | No linear OA(4231, 371, F4, 167) (dual of [371, 140, 168]-code) | [i] | ||
| 4 | No linear OOA(4229, 368, F4, 2, 165) (dual of [(368, 2), 507, 166]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4230, 368, F4, 2, 166) (dual of [(368, 2), 506, 167]-NRT-code) | [i] | ||
| 6 | No linear OOA(4231, 368, F4, 2, 167) (dual of [(368, 2), 505, 168]-NRT-code) | [i] | ||
| 7 | No linear OOA(4228, 368, F4, 2, 164) (dual of [(368, 2), 508, 165]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4228, 368, F4, 3, 164) (dual of [(368, 3), 876, 165]-NRT-code) | [i] | ||
| 9 | No digital (64, 228, 368)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |