Information on Result #132094
There is no OOA(2178, 296, S2, 2, 77), because 1 step m-reduction would yield OA(2177, 296, S2, 76), but
- 3 times code embedding in larger space [i] would yield OA(2180, 299, S2, 76), but
- adding a parity check bit [i] would yield OA(2181, 300, S2, 77), but
- the linear programming bound shows that M ≥ 1 701534 483732 309366 379627 599831 667953 620265 452247 654243 213636 197092 258809 472732 009400 892048 846161 501132 017233 770139 644607 995756 675072 / 416986 183620 888257 525186 905206 719820 461288 987101 265210 382835 230557 021727 403215 > 2181 [i]
- adding a parity check bit [i] would yield OA(2181, 300, S2, 77), but
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(2178, 296, S2, 3, 77) | [i] | Depth Reduction | |
| 2 | No OOA(2178, 296, S2, 4, 77) | [i] | ||
| 3 | No OOA(2178, 296, S2, 5, 77) | [i] | ||
| 4 | No OOA(2178, 296, S2, 6, 77) | [i] | ||
| 5 | No OOA(2178, 296, S2, 7, 77) | [i] | ||
| 6 | No OOA(2178, 296, S2, 8, 77) | [i] | ||