Information on Result #572624
There is no linear OOA(444, 55, F4, 3, 33) (dual of [(55, 3), 121, 34]-NRT-code), because 1 times depth reduction would yield linear OOA(444, 55, F4, 2, 33) (dual of [(55, 2), 66, 34]-NRT-code), but
- 1 step m-reduction [i] would yield linear OA(443, 55, F4, 32) (dual of [55, 12, 33]-code), but
- construction Y1 [i] would yield
- linear OA(442, 47, F4, 32) (dual of [47, 5, 33]-code), but
- construction Y1 [i] would yield
- OA(412, 55, S4, 8), but
- discarding factors would yield OA(412, 49, S4, 8), but
- the Rao or (dual) Hamming bound shows that M ≥ 17 670136 > 412 [i]
- discarding factors would yield OA(412, 49, S4, 8), but
- linear OA(442, 47, F4, 32) (dual of [47, 5, 33]-code), 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.