Information on Result #547983
There is no linear OA(828, 77, F8, 24) (dual of [77, 49, 25]-code), because construction Y1 would yield
- linear OA(827, 34, F8, 24) (dual of [34, 7, 25]-code), but
- construction Y1 [i] would yield
- OA(826, 28, S8, 24), but
- the (dual) Plotkin bound shows that M ≥ 9 671406 556917 033397 649408 / 25 > 826 [i]
- OA(87, 34, S8, 6), but
- discarding factors would yield OA(87, 32, S8, 6), but
- the linear programming bound shows that M ≥ 3784 900608 / 1729 > 87 [i]
- discarding factors would yield OA(87, 32, S8, 6), but
- OA(826, 28, S8, 24), but
- construction Y1 [i] would yield
- OA(849, 77, S8, 43), but
- discarding factors would yield OA(849, 74, S8, 43), but
- the linear programming bound shows that M ≥ 1 067882 213242 260536 259746 689192 470019 300277 453404 509744 152231 018496 / 5349 168128 026535 489677 > 849 [i]
- discarding factors would yield OA(849, 74, S8, 43), 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.