Information on Result #579063
There is no linear OOA(2120, 162, F2, 4, 56) (dual of [(162, 4), 528, 57]-NRT-code), because 3 times depth reduction would yield linear OA(2120, 162, F2, 56) (dual of [162, 42, 57]-code), but
- construction Y1 [i] would yield
- OA(2119, 146, S2, 56), but
- the linear programming bound shows that M ≥ 5165 551323 791927 774620 548045 364260 917630 468096 / 7704 797749 > 2119 [i]
- OA(242, 162, S2, 16), but
- discarding factors would yield OA(242, 146, S2, 16), but
- the Rao or (dual) Hamming bound shows that M ≥ 4 467697 956730 > 242 [i]
- discarding factors would yield OA(242, 146, S2, 16), but
- OA(2119, 146, S2, 56), 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.