Information on Result #586267
There is no linear OOA(2168, 237, F2, 5, 78) (dual of [(237, 5), 1017, 79]-NRT-code), because 4 times depth reduction would yield linear OA(2168, 237, F2, 78) (dual of [237, 69, 79]-code), but
- construction Y1 [i] would yield
- linear OA(2167, 211, F2, 78) (dual of [211, 44, 79]-code), but
- construction Y1 [i] would yield
- linear OA(2166, 195, F2, 78) (dual of [195, 29, 79]-code), but
- adding a parity check bit [i] would yield linear OA(2167, 196, F2, 79) (dual of [196, 29, 80]-code), but
- OA(244, 211, S2, 16), but
- discarding factors would yield OA(244, 173, S2, 16), but
- the Rao or (dual) Hamming bound shows that M ≥ 17 734855 699135 > 244 [i]
- discarding factors would yield OA(244, 173, S2, 16), but
- linear OA(2166, 195, F2, 78) (dual of [195, 29, 79]-code), but
- construction Y1 [i] would yield
- OA(269, 237, S2, 26), but
- discarding factors would yield OA(269, 230, S2, 26), but
- the Rao or (dual) Hamming bound shows that M ≥ 609 142116 361774 291812 > 269 [i]
- discarding factors would yield OA(269, 230, S2, 26), but
- linear OA(2167, 211, F2, 78) (dual of [211, 44, 79]-code), 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.