Information on Result #2157524
There is no linear OA(2185, 250, F2, 87) (dual of [250, 65, 88]-code), because 1 times truncation would yield linear OA(2184, 249, F2, 86) (dual of [249, 65, 87]-code), but
- construction Y1 [i] would yield
- linear OA(2183, 225, F2, 86) (dual of [225, 42, 87]-code), but
- construction Y1 [i] would yield
- linear OA(2182, 211, F2, 86) (dual of [211, 29, 87]-code), but
- adding a parity check bit [i] would yield linear OA(2183, 212, F2, 87) (dual of [212, 29, 88]-code), but
- OA(242, 225, S2, 14), but
- discarding factors would yield OA(242, 219, S2, 14), but
- the Rao or (dual) Hamming bound shows that M ≥ 4 498367 189624 > 242 [i]
- discarding factors would yield OA(242, 219, S2, 14), but
- linear OA(2182, 211, F2, 86) (dual of [211, 29, 87]-code), but
- construction Y1 [i] would yield
- OA(265, 249, S2, 24), but
- discarding factors would yield OA(265, 231, S2, 24), but
- the Rao or (dual) Hamming bound shows that M ≥ 38 110539 835438 477924 > 265 [i]
- discarding factors would yield OA(265, 231, S2, 24), but
- linear OA(2183, 225, F2, 86) (dual of [225, 42, 87]-code), 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
None.