Information on Result #599739
There is no digital (28, 116, 252)-net over F5, because extracting embedded orthogonal array would yield linear OA(5116, 252, F5, 88) (dual of [252, 136, 89]-code), but
- construction Y1 [i] would yield
- OA(5115, 147, S5, 88), but
- the linear programming bound shows that M ≥ 2106 427198 388426 824206 051416 107971 920370 889275 492662 277335 854828 334837 929304 512726 957909 762859 344482 421875 / 6 144065 730517 820384 976983 > 5115 [i]
- linear OA(5136, 252, F5, 105) (dual of [252, 116, 106]-code), but
- residual code [i] would yield OA(531, 146, S5, 21), but
- 1 times truncation [i] would yield OA(530, 145, S5, 20), but
- the linear programming bound shows that M ≥ 34078 027381 828650 342719 814777 374267 578125 / 36 570326 005604 057357 > 530 [i]
- 1 times truncation [i] would yield OA(530, 145, S5, 20), but
- residual code [i] would yield OA(531, 146, S5, 21), but
- OA(5115, 147, S5, 88), 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.