Information on Result #572669
There is no linear OOA(451, 57, F4, 3, 39) (dual of [(57, 3), 120, 40]-NRT-code), because 1 times depth reduction would yield linear OOA(451, 57, F4, 2, 39) (dual of [(57, 2), 63, 40]-NRT-code), but
- 3 step m-reduction [i] would yield linear OA(448, 57, F4, 36) (dual of [57, 9, 37]-code), but
- construction Y1 [i] would yield
- linear OA(447, 51, F4, 36) (dual of [51, 4, 37]-code), but
- OA(49, 57, S4, 6), but
- discarding factors would yield OA(49, 40, S4, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 273901 > 49 [i]
- discarding factors would yield OA(49, 40, S4, 6), 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.