Information on Result #547888
There is no linear OA(4166, 191, F4, 124) (dual of [191, 25, 125]-code), because construction Y1 would yield
- linear OA(4165, 177, F4, 124) (dual of [177, 12, 125]-code), but
- construction Y1 [i] would yield
- linear OA(4164, 171, F4, 124) (dual of [171, 7, 125]-code), but
- residual code [i] would yield OA(440, 46, S4, 31), but
- the linear programming bound shows that M ≥ 976 812062 248620 373162 590208 / 703 > 440 [i]
- residual code [i] would yield OA(440, 46, S4, 31), but
- OA(412, 177, S4, 6), but
- discarding factors would yield OA(412, 156, S4, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 16 866019 > 412 [i]
- discarding factors would yield OA(412, 156, S4, 6), but
- linear OA(4164, 171, F4, 124) (dual of [171, 7, 125]-code), but
- construction Y1 [i] would yield
- OA(425, 191, S4, 14), but
- discarding factors would yield OA(425, 162, S4, 14), but
- the Rao or (dual) Hamming bound shows that M ≥ 1131 065428 484512 > 425 [i]
- discarding factors would yield OA(425, 162, S4, 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.