Information on Result #526565
There is no linear OA(56, 435, F5, 3) (dual of [435, 429, 4]-code or 435-cap in PG(5,5)), because 1 times Hill recurrence would yield linear OA(55, 89, F5, 3) (dual of [89, 84, 4]-code or 89-cap in PG(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(56, 435, F5, 2, 3) (dual of [(435, 2), 864, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(56, 435, F5, 3, 3) (dual of [(435, 3), 1299, 4]-NRT-code) | [i] | ||
| 3 | No digital (3, 6, 435)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(57, 2153, F5, 3) (dual of [2153, 2146, 4]-code or 2153-cap in PG(6,5)) | [i] | Removing Affine Subspaces | |
| 5 | No linear OA(58, 9892, F5, 3) (dual of [9892, 9884, 4]-code or 9892-cap in PG(7,5)) | [i] | ||
| 6 | No linear OA(59, 45100, F5, 3) (dual of [45100, 45091, 4]-code or 45100-cap in PG(8,5)) | [i] | ||
| 7 | No linear OA(510, 206585, F5, 3) (dual of [206585, 206575, 4]-code or 206585-cap in PG(9,5)) | [i] | ||
| 8 | No linear OA(511, 952350, F5, 3) (dual of [952350, 952339, 4]-code or 952350-cap in PG(10,5)) | [i] | ||
| 9 | No linear OA(512, 4416622, F5, 3) (dual of [4416622, 4416610, 4]-code or 4416622-cap in PG(11,5)) | [i] | ||