Information on Result #599622
There is no digital (64, 228, 368)-net over F4, because extracting embedded orthogonal array would yield linear OA(4228, 368, F4, 164) (dual of [368, 140, 165]-code), but
- residual code [i] 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, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (64, 229, 368)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (64, 230, 368)-net over F4 | [i] | ||
| 3 | No digital (64, 231, 368)-net over F4 | [i] | ||