Information on Result #599737
There is no digital (27, 113, 222)-net over F5, because extracting embedded orthogonal array would yield linear OA(5113, 222, F5, 86) (dual of [222, 109, 87]-code), but
- construction Y1 [i] would yield
- OA(5112, 139, S5, 86), but
- the linear programming bound shows that M ≥ 2 082589 264522 932824 279618 514424 429978 311367 037622 562595 373942 873067 107939 277775 585651 397705 078125 / 1 034045 105594 725224 > 5112 [i]
- OA(5109, 222, S5, 83), but
- discarding factors would yield OA(5109, 147, S5, 83), but
- the linear programming bound shows that M ≥ 97832 005097 623965 961965 091455 398251 491670 818930 622769 438002 739592 061328 226246 796901 932611 945085 227489 471435 546875 / 5 803319 642355 292721 815985 390811 721467 > 5109 [i]
- discarding factors would yield OA(5109, 147, S5, 83), but
- OA(5112, 139, S5, 86), 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.