Information on Result #526578
There is no linear OA(87, 27650, F8, 3) (dual of [27650, 27643, 4]-code or 27650-cap in PG(6,8)), because removing affine subspaces would yield
- linear OA(85, 494, F8, 3) (dual of [494, 489, 4]-code or 494-cap in PG(4,8)), but
- 3284-cap in AG(5,8), but
- 2 times the recursive bound from Bierbrauer and Edel [i] would yield 65-cap in AG(3,8), but
- 23874-cap in AG(6,8), but
- 3 times the recursive bound from Bierbrauer and Edel [i] would yield 65-cap in AG(3,8) (see above)
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(87, 27650, F8, 2, 3) (dual of [(27650, 2), 55293, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(87, 27650, F8, 3, 3) (dual of [(27650, 3), 82943, 4]-NRT-code) | [i] | ||
| 3 | No digital (4, 7, 27650)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |