Information on Result #548043
There is no linear OA(16102, 107, F16, 96) (dual of [107, 5, 97]-code), because construction Y1 would yield
- OA(16101, 103, S16, 96), but
- the (dual) Plotkin bound shows that M ≥ 4627 391781 531740 192663 407156 229397 278798 832780 749968 534992 541566 920840 538654 179420 776324 473078 006993 933138 484175 163508 129792 / 97 > 16101 [i]
- OA(165, 107, S16, 4), but
- discarding factors would yield OA(165, 97, S16, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 1 049056 > 165 [i]
- discarding factors would yield OA(165, 97, S16, 4), 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(16103, 108, F16, 97) (dual of [108, 5, 98]-code) | [i] | Truncation | |
| 2 | No linear OA(16104, 109, F16, 98) (dual of [109, 5, 99]-code) | [i] | ||
| 3 | No linear OA(16105, 110, F16, 99) (dual of [110, 5, 100]-code) | [i] | ||
| 4 | No linear OA(16106, 111, F16, 100) (dual of [111, 5, 101]-code) | [i] | ||
| 5 | No linear OA(16107, 112, F16, 101) (dual of [112, 5, 102]-code) | [i] | ||
| 6 | No linear OA(16103, 162, F16, 96) (dual of [162, 59, 97]-code) | [i] | Construction Y1 (Bound) | |