Information on Result #526549
There is no linear OA(311, 7713, F3, 3) (dual of [7713, 7702, 4]-code or 7713-cap in PG(10,3)), because doubling the cap would yield 15426-cap in AG(11,3), but
- 5 times the recursive bound from Bierbrauer and Edel [i] would yield 113-cap in AG(6,3), 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(311, 7713, F3, 2, 3) (dual of [(7713, 2), 15415, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(311, 7713, F3, 3, 3) (dual of [(7713, 3), 23128, 4]-NRT-code) | [i] | ||
| 3 | No linear OOA(311, 7713, F3, 4, 3) (dual of [(7713, 4), 30841, 4]-NRT-code) | [i] | ||
| 4 | No linear OOA(311, 7713, F3, 5, 3) (dual of [(7713, 5), 38554, 4]-NRT-code) | [i] | ||
| 5 | No digital (8, 11, 7713)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |