Information on Result #2172283
There is no linear OA(16130, 135, F16, 123) (dual of [135, 5, 124]-code), because 11 times truncation would yield linear OA(16119, 124, F16, 112) (dual of [124, 5, 113]-code), but
- construction Y1 [i] 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
- OA(16118, 120, S16, 112), 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.