Information on Result #547985
There is no linear OA(831, 66, F8, 27) (dual of [66, 35, 28]-code), because construction Y1 would yield
- linear OA(830, 35, F8, 27) (dual of [35, 5, 28]-code), but
- construction Y1 [i] would yield
- OA(829, 31, S8, 27), but
- 3 times truncation [i] would yield OA(826, 28, S8, 24), but
- the (dual) Plotkin bound shows that M ≥ 9 671406 556917 033397 649408 / 25 > 826 [i]
- 3 times truncation [i] would yield OA(826, 28, S8, 24), but
- OA(85, 35, S8, 4), but
- the linear programming bound shows that M ≥ 1 306624 / 39 > 85 [i]
- OA(829, 31, S8, 27), but
- construction Y1 [i] would yield
- OA(835, 66, S8, 31), but
- discarding factors would yield OA(835, 64, S8, 31), but
- the linear programming bound shows that M ≥ 1004 632394 349187 401262 809997 919273 028676 996825 088000 / 23 392639 600971 983739 > 835 [i]
- discarding factors would yield OA(835, 64, S8, 31), 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.