Information on Result #2122412
There is no OA(163, 19, S16, 3), because 1 times truncation would yield OA(162, 18, S16, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 271 > 162 [i]
Mode: Bound.
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No 19-cap in AG(2,16) | [i] | Every Affine Cap Is Also a Projective Cap | |
| 2 | No linear OA(1651, 68, F16, 48) (dual of [68, 17, 49]-code) | [i] | Residual Code | |
| 3 | Linear OA(16130, 134, F16, 115) (dual of [134, 4, 116]-code) | [i] | Dual Code (with Bound on d by Construction Y1) | |