Information on Result #548578
There is no linear OA(319, 44, F3, 12) (dual of [44, 25, 13]-code), because construction Y1 would yield
- linear OA(318, 27, F3, 12) (dual of [27, 9, 13]-code), but
- construction Y1 [i] would yield
- linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-code), but
- OA(39, 27, S3, 6), but
- discarding factors would yield OA(39, 26, S3, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 22153 > 39 [i]
- discarding factors would yield OA(39, 26, S3, 6), but
- construction Y1 [i] would yield
- OA(325, 44, S3, 17), but
- discarding factors would yield OA(325, 43, S3, 17), but
- the linear programming bound shows that M ≥ 1 258264 835074 776640 892553 / 1 376226 982273 > 325 [i]
- discarding factors would yield OA(325, 43, S3, 17), 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.