Information on Result #526580
There is no linear OA(89, 1495167, F8, 3) (dual of [1495167, 1495158, 4]-code or 1495167-cap in PG(8,8)), 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)
- 175045-cap in AG(7,8), but
- 4 times the recursive bound from Bierbrauer and Edel [i] would yield 65-cap in AG(3,8) (see above)
- 1292474-cap in AG(8,8), but
- 5 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(89, 1495167, F8, 2, 3) (dual of [(1495167, 2), 2990325, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(89, 1495167, F8, 3, 3) (dual of [(1495167, 3), 4485492, 4]-NRT-code) | [i] | ||
| 3 | No digital (6, 9, 1495167)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |