Information on Result #526566
There is no linear OA(57, 2153, F5, 3) (dual of [2153, 2146, 4]-code or 2153-cap in PG(6,5)), because removing affine subspaces would yield
- linear OA(56, 435, F5, 3) (dual of [435, 429, 4]-code or 435-cap in PG(5,5)), but
- 1719-cap in AG(6,5), but
- 2 times the recursive bound from Bierbrauer and Edel [i] would yield 89-cap in AG(4,5), 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(57, 2153, F5, 2, 3) (dual of [(2153, 2), 4299, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(57, 2153, F5, 3, 3) (dual of [(2153, 3), 6452, 4]-NRT-code) | [i] | ||
| 3 | No digital (4, 7, 2153)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |