Information on Result #2156273
There is no linear OA(29, 19, F2, 5) (dual of [19, 10, 6]-code), because 1 times truncation would yield linear OA(28, 18, F2, 4) (dual of [18, 10, 5]-code), but
- construction Y1 [i] would yield
- linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
- OA(210, 18, S2, 6), but
- discarding factors would yield OA(210, 16, S2, 6), but
- the linear programming bound shows that M ≥ 27136 / 21 > 210 [i]
- discarding factors would yield OA(210, 16, S2, 6), 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.