Information on Result #547727
There is no linear OA(2254, 291, F2, 124) (dual of [291, 37, 125]-code), because construction Y1 would yield
- linear OA(2253, 279, F2, 124) (dual of [279, 26, 125]-code), but
- construction Y1 [i] would yield
- linear OA(2252, 271, F2, 124) (dual of [271, 19, 125]-code), but
- residual code [i] 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]
- residual code [i] would yield OA(2128, 146, S2, 62), but
- OA(226, 279, S2, 8), but
- discarding factors would yield OA(226, 201, S2, 8), but
- the Rao or (dual) Hamming bound shows that M ≥ 67 351952 > 226 [i]
- discarding factors would yield OA(226, 201, S2, 8), but
- linear OA(2252, 271, F2, 124) (dual of [271, 19, 125]-code), but
- construction Y1 [i] would yield
- OA(237, 291, S2, 12), but
- discarding factors would yield OA(237, 217, S2, 12), but
- the Rao or (dual) Hamming bound shows that M ≥ 139173 045698 > 237 [i]
- discarding factors would yield OA(237, 217, S2, 12), 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.
Other Results with Identical Parameters
None.
Depending Results
None.