Information on Result #599644
There is no digital (66, 242, 347)-net over F4, because extracting embedded orthogonal array would yield linear OA(4242, 347, F4, 176) (dual of [347, 105, 177]-code), but
- residual code [i] would yield OA(466, 170, S4, 44), but
- the linear programming bound shows that M ≥ 1976 506064 459033 075362 451713 190875 400705 748869 321511 254504 692102 419708 690447 989326 466803 280840 783010 320768 871264 419840 000000 / 348910 981362 978418 180472 516419 977086 112239 745527 698751 797516 935464 412701 432423 842977 > 466 [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 (66, 243, 347)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (66, 244, 347)-net over F4 | [i] | ||
| 3 | No digital (66, 245, 347)-net over F4 | [i] | ||