Information on Result #576730
There is no linear OOA(748, 29, F7, 3, 45) (dual of [(29, 3), 39, 46]-NRT-code), because 1 times depth reduction would yield linear OOA(748, 29, F7, 2, 45) (dual of [(29, 2), 10, 46]-NRT-code), but
- 24 step m-reduction [i] would yield linear OA(724, 29, F7, 21) (dual of [29, 5, 22]-code), but
- construction Y1 [i] would yield
- OA(723, 25, S7, 21), but
- the (dual) Plotkin bound shows that M ≥ 383 162462 761132 828802 / 11 > 723 [i]
- OA(75, 29, S7, 4), but
- the linear programming bound shows that M ≥ 3 384381 / 197 > 75 [i]
- OA(723, 25, S7, 21), 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.