Information on Result #548143
There is no linear OA(258, 76, F2, 28) (dual of [76, 18, 29]-code), because “Ja†bound on codes from Brouwer’s database
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(259, 77, F2, 29) (dual of [77, 18, 30]-code) | [i] | Truncation | |
| 2 | No linear OOA(259, 76, F2, 2, 29) (dual of [(76, 2), 93, 30]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(258, 76, F2, 2, 28) (dual of [(76, 2), 94, 29]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(258, 76, F2, 3, 28) (dual of [(76, 3), 170, 29]-NRT-code) | [i] | ||
| 5 | No linear OOA(258, 76, F2, 4, 28) (dual of [(76, 4), 246, 29]-NRT-code) | [i] | ||
| 6 | No linear OOA(258, 76, F2, 5, 28) (dual of [(76, 5), 322, 29]-NRT-code) | [i] | ||
| 7 | No linear OOA(258, 76, F2, 6, 28) (dual of [(76, 6), 398, 29]-NRT-code) | [i] | ||
| 8 | No linear OOA(258, 76, F2, 7, 28) (dual of [(76, 7), 474, 29]-NRT-code) | [i] | ||
| 9 | No linear OOA(258, 76, F2, 8, 28) (dual of [(76, 8), 550, 29]-NRT-code) | [i] | ||
| 10 | No digital (30, 58, 76)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |