Information on Result #599645
There is no digital (66, 246, 331)-net over F4, because extracting embedded orthogonal array would yield linear OA(4246, 331, F4, 180) (dual of [331, 85, 181]-code), but
- residual code [i] would yield OA(466, 150, S4, 45), but
- the linear programming bound shows that M ≥ 218 603248 395353 963143 573129 094845 574107 874696 792745 859935 933646 235876 315511 128217 770614 833515 398023 492482 446101 600214 474162 958366 887001 317163 943539 507200 000000 / 39636 522622 025040 367641 896273 764902 619875 534086 883796 962530 116095 725635 815042 105519 857817 694911 172894 869760 633227 396889 > 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, 247, 331)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (66, 248, 331)-net over F4 | [i] | ||
| 3 | No digital (66, 249, 331)-net over F4 | [i] | ||