Information on Result #524300
There is no linear OA(45, 42, F4, 3) (dual of [42, 37, 4]-code or 42-cap in PG(4,4)), because 41 is the largest size of a cap in PG(4, 4)
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(45, 42, F4, 2, 3) (dual of [(42, 2), 79, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(45, 42, F4, 3, 3) (dual of [(42, 3), 121, 4]-NRT-code) | [i] | ||
| 3 | No digital (2, 5, 42)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(46, 154, F4, 3) (dual of [154, 148, 4]-code or 154-cap in PG(5,4)) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(442, 47, F4, 32) (dual of [47, 5, 33]-code) | [i] | ||
| 6 | No linear OA(463, 68, F4, 48) (dual of [68, 5, 49]-code) | [i] | ||
| 7 | No linear OA(468, 73, F4, 52) (dual of [73, 5, 53]-code) | [i] | ||
| 8 | No linear OA(473, 78, F4, 56) (dual of [78, 5, 57]-code) | [i] | ||
| 9 | No linear OA(478, 83, F4, 60) (dual of [83, 5, 61]-code) | [i] | ||
| 10 | No linear OA(46, 160, F4, 3) (dual of [160, 154, 4]-code or 160-cap in PG(5,4)) | [i] | Hill Recurrence | |
| 11 | No linear OA(47, 632, F4, 3) (dual of [632, 625, 4]-code or 632-cap in PG(6,4)) | [i] | ||