Information on Result #546437
There is no linear OA(2199, 221, F2, 98) (dual of [221, 22, 99]-code), because residual code would yield OA(2101, 122, S2, 49), but
- 1 times truncation [i] would yield OA(2100, 121, S2, 48), but
- the linear programming bound shows that M ≥ 59 423241 397501 834794 717265 239759 388672 / 45 664125 > 2100 [i]
Mode: Bound (linear).
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No linear OA(2200, 222, F2, 99) (dual of [222, 22, 100]-code) | [i] | Truncation | |
2 | No linear OOA(2199, 221, F2, 2, 98) (dual of [(221, 2), 243, 99]-NRT-code) | [i] | Depth Reduction |