Information on Result #599401
There is no digital (36, 125, 191)-net over F4, because extracting embedded orthogonal array would yield linear OA(4125, 191, F4, 89) (dual of [191, 66, 90]-code), but
- construction Y1 [i] would yield
- OA(4124, 148, S4, 89), but
- the linear programming bound shows that M ≥ 8665 917257 296778 952342 423789 447146 428779 676886 749927 658316 397291 649757 237344 216595 862069 968896 / 15 234037 624603 222425 > 4124 [i]
- OA(466, 191, S4, 43), but
- the linear programming bound shows that M ≥ 28 766535 420054 304848 397361 421684 986456 320614 942528 963784 752261 977481 718335 232020 438414 046131 126272 000000 / 5209 403279 129645 739501 754543 221181 850628 166933 877437 442223 389477 > 466 [i]
- OA(4124, 148, S4, 89), but
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
None.