Information on Result #524338
There is no linear OA(84, 66, F8, 3) (dual of [66, 62, 4]-code or 66-cap in PG(3,8)), because ovoid cap is optimal
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(84, 66, F8, 2, 3) (dual of [(66, 2), 128, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(84, 66, F8, 3, 3) (dual of [(66, 3), 194, 4]-NRT-code) | [i] | ||
| 3 | No digital (1, 4, 66)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(863, 67, F8, 56) (dual of [67, 4, 57]-code) | [i] | Construction Y1 (Bound) | |