Information on Result #3149718
There is no digital (62, 221, 372)-net over F4, because 3 times m-reduction would yield digital (62, 218, 372)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4218, 372, F4, 156) (dual of [372, 154, 157]-code), but
- residual code [i] would yield OA(462, 215, S4, 39), but
- the linear programming bound shows that M ≥ 12718 083503 539266 529007 190946 224090 701310 717998 449746 183117 383672 455579 566080 / 595 821431 971093 361396 591608 721211 764591 > 462 [i]
- residual code [i] would yield OA(462, 215, S4, 39), 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.