Information on Result #546451
There is no linear OA(2221, 231, F2, 112) (dual of [231, 10, 113]-code), because residual code would yield linear OA(2109, 118, F2, 56) (dual of [118, 9, 57]-code), but
- residual code [i] would yield linear OA(253, 61, F2, 28) (dual of [61, 8, 29]-code), but
- residual code [i] would yield OA(225, 32, S2, 14), but
- the linear programming bound shows that M ≥ 562 036736 / 13 > 225 [i]
- residual code [i] would yield OA(225, 32, S2, 14), 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.