Information on Result #599634
There is no digital (65, 237, 347)-net over F4, because extracting embedded orthogonal array would yield linear OA(4237, 347, F4, 172) (dual of [347, 110, 173]-code), but
- residual code [i] would yield OA(465, 174, S4, 43), but
- the linear programming bound shows that M ≥ 2 356982 708196 944001 632405 639197 943867 825680 395816 503599 985988 433957 852565 175436 909425 167874 773494 005760 / 1698 395268 555289 237515 503113 977957 762702 705839 816361 669722 314819 > 465 [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 (65, 238, 347)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (65, 239, 347)-net over F4 | [i] | ||
| 3 | No digital (65, 240, 347)-net over F4 | [i] | ||