Information on Result #588823
There is no linear OOA(3146, 156, F3, 5, 98) (dual of [(156, 5), 634, 99]-NRT-code), because 3 times depth reduction would yield linear OOA(3146, 156, F3, 2, 98) (dual of [(156, 2), 166, 99]-NRT-code), but
- 4 step m-reduction [i] would yield linear OA(3142, 156, F3, 94) (dual of [156, 14, 95]-code), but
- construction Y1 [i] would yield
- OA(3141, 150, S3, 94), but
- the linear programming bound shows that M ≥ 2 507699 731904 749483 156305 303283 721699 486095 458197 011266 969583 191489 627021 / 107749 > 3141 [i]
- OA(314, 156, S3, 6), but
- discarding factors would yield OA(314, 154, S3, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 4 822665 > 314 [i]
- discarding factors would yield OA(314, 154, S3, 6), but
- OA(3141, 150, S3, 94), but
- construction Y1 [i] would yield
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.
Other Results with Identical Parameters
None.
Depending Results
None.