Information on Result #520875
There is no (115, 211, 291)-net in base 2, because extracting embedded orthogonal array would yield OA(2211, 291, S2, 96), but
- 8 times code embedding in larger space [i] would yield OA(2219, 299, S2, 96), but
- adding a parity check bit [i] would yield OA(2220, 300, S2, 97), but
- the linear programming bound shows that M ≥ 2 707506 179671 220537 436761 186277 555172 982275 381427 765331 317661 637213 928123 767152 572244 071765 637582 553088 / 1 434637 915544 533146 412054 075529 090625 > 2220 [i]
- adding a parity check bit [i] would yield OA(2220, 300, S2, 97), 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 (115, 212, 291)-net in base 2 | [i] | m-Reduction | |