Information on Result #599825
There is no digital (16, 106, 272)-net over F8, because extracting embedded orthogonal array would yield linear OA(8106, 272, F8, 90) (dual of [272, 166, 91]-code), but
- construction Y1 [i] would yield
- OA(8105, 128, S8, 90), but
- the linear programming bound shows that M ≥ 21950 796382 814438 782744 864463 381336 127596 030073 856912 690696 782531 039738 810829 256630 497562 292754 935128 215485 677031 129088 / 296811 395949 608374 280875 > 8105 [i]
- linear OA(8166, 272, F8, 144) (dual of [272, 106, 145]-code), but
- discarding factors / shortening the dual code would yield linear OA(8166, 244, F8, 144) (dual of [244, 78, 145]-code), but
- residual code [i] would yield OA(822, 99, S8, 18), but
- the linear programming bound shows that M ≥ 7 461344 900772 163012 506367 600128 688128 / 94986 278747 950549 > 822 [i]
- residual code [i] would yield OA(822, 99, S8, 18), but
- discarding factors / shortening the dual code would yield linear OA(8166, 244, F8, 144) (dual of [244, 78, 145]-code), but
- OA(8105, 128, S8, 90), 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.