Information on Result #3149831
There is no digital (65, 242, 333)-net over F4, because 1 times m-reduction would yield digital (65, 241, 333)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4241, 333, F4, 176) (dual of [333, 92, 177]-code), but
- residual code [i] would yield OA(465, 156, S4, 44), but
- the linear programming bound shows that M ≥ 5305 672794 944537 381320 515598 514645 629008 946704 424695 546266 632663 854579 036277 493526 466626 448910 185539 633024 632652 385646 851129 344000 / 3 530621 465654 281569 250779 664225 038700 823798 252333 134165 234221 216150 895884 348866 248497 833837 > 465 [i]
- residual code [i] would yield OA(465, 156, S4, 44), 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.