Information on Result #526554
There is no linear OA(316, 1305706, F3, 3) (dual of [1305706, 1305690, 4]-code or 1305706-cap in PG(15,3)), because doubling the cap would yield 2611412-cap in AG(16,3), but
- discarding factors / shortening the dual code would yield 2611411-cap in AG(16,3), but
- 10 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(316, 1305706, F3, 2, 3) (dual of [(1305706, 2), 2611396, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(316, 1305706, F3, 3, 3) (dual of [(1305706, 3), 3917102, 4]-NRT-code) | [i] | ||
| 3 | No linear OOA(316, 1305706, F3, 4, 3) (dual of [(1305706, 4), 5222808, 4]-NRT-code) | [i] | ||
| 4 | No linear OOA(316, 1305706, F3, 5, 3) (dual of [(1305706, 5), 6528514, 4]-NRT-code) | [i] | ||
| 5 | No digital (13, 16, 1305706)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |