Information on Result #548336
There is no linear OA(2149, 168, F2, 74) (dual of [168, 19, 75]-code), because residual code would yield linear OA(275, 93, F2, 37) (dual of [93, 18, 38]-code), but
- “Bro†bound on codes from Brouwer’s database [i]
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 OA(2150, 169, F2, 75) (dual of [169, 19, 76]-code) | [i] | Truncation | |
| 2 | No linear OOA(2150, 168, F2, 2, 75) (dual of [(168, 2), 186, 76]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2149, 168, F2, 2, 74) (dual of [(168, 2), 187, 75]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2149, 168, F2, 3, 74) (dual of [(168, 3), 355, 75]-NRT-code) | [i] | ||
| 5 | No linear OOA(2149, 168, F2, 4, 74) (dual of [(168, 4), 523, 75]-NRT-code) | [i] | ||
| 6 | No linear OOA(2149, 168, F2, 5, 74) (dual of [(168, 5), 691, 75]-NRT-code) | [i] | ||
| 7 | No linear OOA(2149, 168, F2, 6, 74) (dual of [(168, 6), 859, 75]-NRT-code) | [i] | ||
| 8 | No linear OOA(2149, 168, F2, 7, 74) (dual of [(168, 7), 1027, 75]-NRT-code) | [i] | ||
| 9 | No linear OOA(2149, 168, F2, 8, 74) (dual of [(168, 8), 1195, 75]-NRT-code) | [i] | ||
| 10 | No digital (75, 149, 168)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |