Information on Result #547994
There is no linear OA(8107, 246, F8, 91) (dual of [246, 139, 92]-code), because construction Y1 would yield
- OA(8106, 126, S8, 91), but
- the linear programming bound shows that M ≥ 293 187232 858468 601478 195121 704673 897819 671593 603287 520903 422450 275883 600667 509529 168717 037019 908153 862692 395005 509632 / 543 414185 869329 742359 > 8106 [i]
- linear OA(8139, 246, F8, 120) (dual of [246, 107, 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.