Information on Result #598998
There is no digital (43, 114, 181)-net over F3, because extracting embedded orthogonal array would yield linear OA(3114, 181, F3, 71) (dual of [181, 67, 72]-code), but
- construction Y1 [i] would yield
- OA(3113, 143, S3, 71), but
- the linear programming bound shows that M ≥ 31 672520 199297 585243 899154 531146 784746 691310 342121 601962 325858 908470 456893 / 37 514198 689317 280000 > 3113 [i]
- OA(367, 181, S3, 38), but
- discarding factors would yield OA(367, 175, S3, 38), but
- the linear programming bound shows that M ≥ 387 999317 807943 805026 164281 984581 507597 966785 079804 265116 880208 641606 720469 396519 780352 / 3 893635 890543 207464 665118 176286 227992 932894 706751 830787 > 367 [i]
- discarding factors would yield OA(367, 175, S3, 38), but
- OA(3113, 143, S3, 71), 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.