Information on Result #526550
There is no linear OA(312, 21285, F3, 3) (dual of [21285, 21273, 4]-code or 21285-cap in PG(11,3)), because doubling the cap would yield 42570-cap in AG(12,3), but
- 6 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(312, 21285, F3, 2, 3) (dual of [(21285, 2), 42558, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(312, 21285, F3, 3, 3) (dual of [(21285, 3), 63843, 4]-NRT-code) | [i] | ||
| 3 | No linear OOA(312, 21285, F3, 4, 3) (dual of [(21285, 4), 85128, 4]-NRT-code) | [i] | ||
| 4 | No linear OOA(312, 21285, F3, 5, 3) (dual of [(21285, 5), 106413, 4]-NRT-code) | [i] | ||
| 5 | No digital (9, 12, 21285)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |