Information on Result #3146868
There is no digital (85, 242, 296)-net over F3, because 1 times m-reduction would yield digital (85, 241, 296)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3241, 296, F3, 156) (dual of [296, 55, 157]-code), but
- residual code [i] would yield OA(385, 139, S3, 52), but
- the linear programming bound shows that M ≥ 25187 471495 546450 938829 166628 945306 291038 411946 137194 049987 820699 630759 367931 165327 613809 362902 650627 817783 270689 253835 813240 163063 / 655379 887178 349656 963856 190956 437056 740438 060960 854359 735199 515832 284477 226278 150220 800000 > 385 [i]
- residual code [i] would yield OA(385, 139, S3, 52), 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.