Information on Result #57740
There is no OA(53, 7, S5, 3), because bound for OAs with index unity
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(53, 7, S5, 2, 3) | [i] | Depth Reduction | |
| 2 | No OOA(53, 7, S5, 3, 3) | [i] | ||
| 3 | No (0, 3, 7)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No 7-cap in AG(2,5) | [i] | Every Affine Cap Is Also a Projective Cap | |
| 5 | No linear OA(518, 23, F5, 15) (dual of [23, 5, 16]-code) | [i] | Residual Code | |