Information on Result #576341
There is no linear OOA(585, 68, F5, 3, 73) (dual of [(68, 3), 119, 74]-NRT-code), because 1 times depth reduction would yield linear OOA(585, 68, F5, 2, 73) (dual of [(68, 2), 51, 74]-NRT-code), but
- 23 step m-reduction [i] would yield linear OA(562, 68, F5, 50) (dual of [68, 6, 51]-code), but
- construction Y1 [i] would yield
- linear OA(561, 64, F5, 50) (dual of [64, 3, 51]-code), but
- OA(56, 68, S5, 4), but
- discarding factors would yield OA(56, 45, S5, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 16021 > 56 [i]
- discarding factors would yield OA(56, 45, S5, 4), but
- construction Y1 [i] would yield
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.