Information on Result #547996
There is no linear OA(8114, 253, F8, 97) (dual of [253, 139, 98]-code), because construction Y1 would yield
- OA(8113, 133, S8, 97), but
- the linear programming bound shows that M ≥ 12 390882 077619 361809 374608 876210 720807 026167 766516 794505 907066 021724 648856 397281 926521 911401 767561 061604 125143 861641 084928 / 10 910069 338930 636875 > 8113 [i]
- linear OA(8139, 253, F8, 120) (dual of [253, 114, 121]-code), but
- discarding factors / shortening the dual code would yield linear OA(8139, 225, F8, 120) (dual of [225, 86, 121]-code), but
- residual code [i] would yield OA(819, 104, S8, 15), but
- 1 times truncation [i] would yield OA(818, 103, S8, 14), but
- the linear programming bound shows that M ≥ 2 959453 402132 306537 427763 200000 / 157 546655 556261 > 818 [i]
- 1 times truncation [i] would yield OA(818, 103, S8, 14), but
- residual code [i] would yield OA(819, 104, S8, 15), but
- discarding factors / shortening the dual code would yield linear OA(8139, 225, F8, 120) (dual of [225, 86, 121]-code), 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.