Information on Result #520714
There is no (99, 179, 290)-net in base 2, because extracting embedded orthogonal array would yield OA(2179, 290, S2, 80), but
- 9 times code embedding in larger space [i] would yield OA(2188, 299, S2, 80), but
- adding a parity check bit [i] would yield OA(2189, 300, S2, 81), but
- the linear programming bound shows that M ≥ 333112 132422 259965 088720 215000 611770 757764 145862 673192 223023 087630 748136 412561 549060 805697 390758 928463 024902 788757 444450 017971 109260 951552 / 284 805581 394495 166949 489186 936966 421059 043171 883994 793835 511370 537717 840519 721875 > 2189 [i]
- adding a parity check bit [i] would yield OA(2189, 300, S2, 81), but
Mode: Bound.
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (99, 180, 290)-net in base 2 | [i] | m-Reduction | |