Information on Result #599520
There is no digital (53, 201, 264)-net over F4, because extracting embedded orthogonal array would yield linear OA(4201, 264, F4, 148) (dual of [264, 63, 149]-code), but
- residual code [i] would yield OA(453, 115, S4, 37), but
- the linear programming bound shows that M ≥ 2228 884102 741419 171563 165834 542871 015642 627518 277715 182772 794960 776775 241817 326574 230159 456820 575580 079378 861618 772055 855779 020800 / 26 684822 592939 485951 140315 267760 030177 231474 922984 007903 231959 034642 349539 832878 020392 293180 805179 > 453 [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 (53, 202, 264)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (53, 203, 264)-net over F4 | [i] | ||
| 3 | No digital (53, 204, 264)-net over F4 | [i] | ||