Information on Result #3149985
There is no digital (74, 256, 467)-net over F4, because 2 times m-reduction would yield digital (74, 254, 467)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4254, 467, F4, 180) (dual of [467, 213, 181]-code), but
- residual code [i] would yield OA(474, 286, S4, 45), but
- the linear programming bound shows that M ≥ 22 769120 707181 828041 954378 161822 084052 954335 244294 016427 586097 147930 001332 191588 780049 100806 553600 / 63648 956571 718794 371382 905612 240945 674126 728108 353777 > 474 [i]
- residual code [i] would yield OA(474, 286, S4, 45), 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.