Information on Result #599596
There is no digital (61, 237, 268)-net over F4, because extracting embedded orthogonal array would yield linear OA(4237, 268, F4, 176) (dual of [268, 31, 177]-code), but
- residual code [i] would yield OA(461, 91, S4, 44), but
- the linear programming bound shows that M ≥ 115457 192596 305257 505080 897617 251271 932542 088555 636975 468544 / 21352 537403 048391 328525 > 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, 238, 268)-net over F4 | [i] | m-Reduction | |
2 | No digital (61, 239, 268)-net over F4 | [i] | ||
3 | No digital (61, 240, 268)-net over F4 | [i] |