Information on Result #520722
There is no (100, 182, 289)-net in base 2, because extracting embedded orthogonal array would yield OA(2182, 289, S2, 82), but
- 10 times code embedding in larger space [i] would yield OA(2192, 299, S2, 82), but
- adding a parity check bit [i] would yield OA(2193, 300, S2, 83), but
- the linear programming bound shows that M ≥ 47301 037877 562348 126535 964476 521603 387556 508620 623293 070152 196591 060102 430290 310541 234357 121691 993687 546336 928736 477184 / 2 739614 630568 907331 852802 953012 407724 450650 903550 704398 106875 > 2193 [i]
- adding a parity check bit [i] would yield OA(2193, 300, S2, 83), 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 (100, 183, 289)-net in base 2 | [i] | m-Reduction | |