Information on Result #2156814
There is no linear OA(2136, 159, F2, 67) (dual of [159, 23, 68]-code), because 1 times truncation would yield linear OA(2135, 158, F2, 66) (dual of [158, 23, 67]-code), but
- construction Y1 [i] would yield
- OA(2134, 150, S2, 66), but
- the linear programming bound shows that M ≥ 235 377396 587616 186439 177776 455843 253082 652672 / 10387 > 2134 [i]
- OA(223, 158, S2, 8), but
- discarding factors would yield OA(223, 120, S2, 8), but
- the Rao or (dual) Hamming bound shows that M ≥ 8 502671 > 223 [i]
- discarding factors would yield OA(223, 120, S2, 8), but
- OA(2134, 150, S2, 66), 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.