Information on Result #599769
There is no digital (2, 9, 49)-net over F7, because extracting embedded orthogonal array would yield linear OA(79, 49, F7, 7) (dual of [49, 40, 8]-code), but
- construction Y1 [i] would yield
- linear OA(78, 14, F7, 7) (dual of [14, 6, 8]-code), but
- “MPa†bound on codes from Brouwer’s database [i]
- OA(740, 49, S7, 35), but
- discarding factors would yield OA(740, 47, S7, 35), but
- the linear programming bound shows that M ≥ 721 282691 041861 962448 675704 052408 625288 / 101475 > 740 [i]
- discarding factors would yield OA(740, 47, S7, 35), but
- linear OA(78, 14, F7, 7) (dual of [14, 6, 8]-code), 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.