Information on Result #585780
There is no linear OOA(2134, 160, F2, 5, 65) (dual of [(160, 5), 666, 66]-NRT-code), because 3 times depth reduction would yield linear OOA(2134, 160, F2, 2, 65) (dual of [(160, 2), 186, 66]-NRT-code), but
- 1 step m-reduction [i] would yield linear OA(2133, 160, F2, 64) (dual of [160, 27, 65]-code), but
- construction Y1 [i] would yield
- OA(2132, 150, S2, 64), but
- the linear programming bound shows that M ≥ 7654 730789 395636 393332 135297 086550 086927 777792 / 1 285141 > 2132 [i]
- OA(227, 160, S2, 10), but
- discarding factors would yield OA(227, 111, S2, 10), but
- the Rao or (dual) Hamming bound shows that M ≥ 134 381744 > 227 [i]
- discarding factors would yield OA(227, 111, S2, 10), but
- OA(2132, 150, S2, 64), 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.