Information on Result #524301
There is no linear OA(55, 89, F5, 3) (dual of [89, 84, 4]-code or 89-cap in PG(4,5)), because a result by Edel, Storme, and Sziklai
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.
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 linear OOA(55, 89, F5, 2, 3) (dual of [(89, 2), 173, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(55, 89, F5, 3, 3) (dual of [(89, 3), 262, 4]-NRT-code) | [i] | ||
| 3 | No digital (2, 5, 89)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No 89-cap in AG(4,5) | [i] | Every Affine Cap Is Also a Projective Cap | |
| 5 | No linear OA(593, 98, F5, 75) (dual of [98, 5, 76]-code) | [i] | Construction Y1 (Bound) | |
| 6 | No linear OA(599, 104, F5, 80) (dual of [104, 5, 81]-code) | [i] | ||
| 7 | No linear OA(5105, 110, F5, 85) (dual of [110, 5, 86]-code) | [i] | ||
| 8 | No linear OA(5117, 122, F5, 95) (dual of [122, 5, 96]-code) | [i] | ||
| 9 | No linear OA(56, 435, F5, 3) (dual of [435, 429, 4]-code or 435-cap in PG(5,5)) | [i] | Hill Recurrence | |