Information on Result #599754
There is no digital (30, 150, 160)-net over F5, because extracting embedded orthogonal array would yield linear OA(5150, 160, F5, 120) (dual of [160, 10, 121]-code), but
- construction Y1 [i] would yield
- linear OA(5149, 154, F5, 120) (dual of [154, 5, 121]-code), but
- residual code [i] would yield linear OA(529, 33, F5, 24) (dual of [33, 4, 25]-code), but
- OA(510, 160, S5, 6), but
- discarding factors would yield OA(510, 98, S5, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 9 810585 > 510 [i]
- discarding factors would yield OA(510, 98, S5, 6), but
- linear OA(5149, 154, F5, 120) (dual of [154, 5, 121]-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.