Information on Result #599594
There is no digital (61, 229, 304)-net over F4, because extracting embedded orthogonal array would yield linear OA(4229, 304, F4, 168) (dual of [304, 75, 169]-code), but
- residual code [i] would yield OA(461, 135, S4, 42), but
- the linear programming bound shows that M ≥ 14553 096315 947253 640884 776913 168926 302451 665455 919283 135527 723519 103281 609358 744533 636652 915559 579757 398043 602406 873493 852833 510337 625815 402107 895808 / 2665 663747 457635 051830 020094 359849 599949 322414 129592 914794 116842 536378 425306 982781 909625 123448 656307 846295 612863 > 461 [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 (61, 230, 304)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (61, 231, 304)-net over F4 | [i] | ||
| 3 | No digital (61, 232, 304)-net over F4 | [i] | ||