Information on Result #526548
There is no linear OA(310, 2817, F3, 3) (dual of [2817, 2807, 4]-code or 2817-cap in PG(9,3)), because doubling the cap would yield 5634-cap in AG(10,3), but
- discarding factors / shortening the dual code would yield 5633-cap in AG(10,3), but
- 4 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(310, 2817, F3, 2, 3) (dual of [(2817, 2), 5624, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(310, 2817, F3, 3, 3) (dual of [(2817, 3), 8441, 4]-NRT-code) | [i] | ||
| 3 | No linear OOA(310, 2817, F3, 4, 3) (dual of [(2817, 4), 11258, 4]-NRT-code) | [i] | ||
| 4 | No linear OOA(310, 2817, F3, 5, 3) (dual of [(2817, 5), 14075, 4]-NRT-code) | [i] | ||
| 5 | No digital (7, 10, 2817)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |