Information on Result #526553
There is no linear OA(315, 463344, F3, 3) (dual of [463344, 463329, 4]-code or 463344-cap in PG(14,3)), because doubling the cap would yield 926688-cap in AG(15,3), but
- 9 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(315, 463344, F3, 2, 3) (dual of [(463344, 2), 926673, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(315, 463344, F3, 3, 3) (dual of [(463344, 3), 1390017, 4]-NRT-code) | [i] | ||
| 3 | No linear OOA(315, 463344, F3, 4, 3) (dual of [(463344, 4), 1853361, 4]-NRT-code) | [i] | ||
| 4 | No linear OOA(315, 463344, F3, 5, 3) (dual of [(463344, 5), 2316705, 4]-NRT-code) | [i] | ||
| 5 | No digital (12, 15, 463344)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |