Information on Result #550532
There is no linear OOA(3288, 187, F32, 2, 85) (dual of [(187, 2), 286, 86]-NRT-code), because 1 times depth reduction would yield linear OA(3288, 187, F32, 85) (dual of [187, 99, 86]-code), but
- construction Y1 [i] would yield
- OA(3287, 91, S32, 85), but
- the linear programming bound shows that M ≥ 3218 248804 644806 290772 103657 191613 826913 486259 137011 802066 676331 137713 410455 220883 164990 453062 699224 855954 368127 744971 436177 620882 948096 / 34443 > 3287 [i]
- linear OA(3299, 187, F32, 96) (dual of [187, 88, 97]-code), but
- discarding factors / shortening the dual code would yield linear OA(3299, 132, F32, 96) (dual of [132, 33, 97]-code), but
- residual code [i] would yield OA(323, 35, S32, 3), but
- 1 times truncation [i] would yield OA(322, 34, S32, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 1055 > 322 [i]
- 1 times truncation [i] would yield OA(322, 34, S32, 2), but
- residual code [i] would yield OA(323, 35, S32, 3), but
- discarding factors / shortening the dual code would yield linear OA(3299, 132, F32, 96) (dual of [132, 33, 97]-code), but
- OA(3287, 91, S32, 85), 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.
Other Results with Identical Parameters
None.
Depending Results
None.