Information on Result #3149763
There is no digital (63, 233, 334)-net over F4, because 2 times m-reduction would yield digital (63, 231, 334)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4231, 334, F4, 168) (dual of [334, 103, 169]-code), but
- residual code [i] would yield OA(463, 165, S4, 42), but
- the linear programming bound shows that M ≥ 34 077190 942729 726882 024839 335902 035522 717143 016283 935337 510998 524998 580004 361097 586089 334532 997120 / 383476 318008 814835 283839 224897 225684 554347 388608 827379 925139 > 463 [i]
- residual code [i] would yield OA(463, 165, S4, 42), 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.