Information on Result #547689
There is no linear OA(2129, 156, F2, 62) (dual of [156, 27, 63]-code), because construction Y1 would yield
- OA(2128, 146, S2, 62), but
- the linear programming bound shows that M ≥ 10 546031 115613 724859 656905 833525 360409 444352 / 30229 > 2128 [i]
- OA(227, 156, S2, 10), but
- discarding factors would yield OA(227, 111, S2, 10), but
- the Rao or (dual) Hamming bound shows that M ≥ 134 381744 > 227 [i]
- discarding factors would yield OA(227, 111, S2, 10), but
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(2130, 172, F2, 62) (dual of [172, 42, 63]-code) | [i] | Construction Y1 (Bound) | |