Information on Result #548146
There is no linear OA(251, 79, F2, 24) (dual of [79, 28, 25]-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(252, 80, F2, 25) (dual of [80, 28, 26]-code) | [i] | Truncation | |
| 2 | No linear OOA(252, 79, F2, 2, 25) (dual of [(79, 2), 106, 26]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(251, 79, F2, 2, 24) (dual of [(79, 2), 107, 25]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(251, 79, F2, 3, 24) (dual of [(79, 3), 186, 25]-NRT-code) | [i] | ||
| 5 | No linear OOA(251, 79, F2, 4, 24) (dual of [(79, 4), 265, 25]-NRT-code) | [i] | ||
| 6 | No linear OOA(251, 79, F2, 5, 24) (dual of [(79, 5), 344, 25]-NRT-code) | [i] | ||
| 7 | No linear OOA(251, 79, F2, 6, 24) (dual of [(79, 6), 423, 25]-NRT-code) | [i] | ||
| 8 | No linear OOA(251, 79, F2, 7, 24) (dual of [(79, 7), 502, 25]-NRT-code) | [i] | ||
| 9 | No linear OOA(251, 79, F2, 8, 24) (dual of [(79, 8), 581, 25]-NRT-code) | [i] | ||
| 10 | No digital (27, 51, 79)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |