Information on Result #548046
There is no linear OA(16119, 124, F16, 112) (dual of [124, 5, 113]-code), because construction Y1 would yield
- OA(16118, 120, S16, 112), but
- the (dual) Plotkin bound shows that M ≥ 1 560874 275157 996115 690798 614896 583152 874299 071332 485575 429578 479812 685869 409882 810060 153051 531745 985579 913465 560703 311447 723987 839644 142653 145088 / 113 > 16118 [i]
- OA(165, 124, 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(16120, 125, F16, 113) (dual of [125, 5, 114]-code) | [i] | Truncation | |
| 2 | No linear OA(16121, 126, F16, 114) (dual of [126, 5, 115]-code) | [i] | ||
| 3 | No linear OA(16122, 127, F16, 115) (dual of [127, 5, 116]-code) | [i] | ||
| 4 | No linear OA(16123, 128, F16, 116) (dual of [128, 5, 117]-code) | [i] | ||
| 5 | No linear OA(16124, 129, F16, 117) (dual of [129, 5, 118]-code) | [i] | ||
| 6 | No linear OA(16125, 130, F16, 118) (dual of [130, 5, 119]-code) | [i] | ||
| 7 | No linear OA(16126, 131, F16, 119) (dual of [131, 5, 120]-code) | [i] | ||
| 8 | No linear OA(16127, 132, F16, 120) (dual of [132, 5, 121]-code) | [i] | ||
| 9 | No linear OA(16128, 133, F16, 121) (dual of [133, 5, 122]-code) | [i] | ||
| 10 | No linear OA(16129, 134, F16, 122) (dual of [134, 5, 123]-code) | [i] | ||
| 11 | No linear OA(16130, 135, F16, 123) (dual of [135, 5, 124]-code) | [i] | ||