Information on Result #548133
There is no linear OA(254, 72, F2, 26) (dual of [72, 18, 27]-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(255, 73, F2, 27) (dual of [73, 18, 28]-code) | [i] | Truncation | |
| 2 | No linear OOA(255, 72, F2, 2, 27) (dual of [(72, 2), 89, 28]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(254, 72, F2, 2, 26) (dual of [(72, 2), 90, 27]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(254, 72, F2, 3, 26) (dual of [(72, 3), 162, 27]-NRT-code) | [i] | ||
| 5 | No linear OOA(254, 72, F2, 4, 26) (dual of [(72, 4), 234, 27]-NRT-code) | [i] | ||
| 6 | No linear OOA(254, 72, F2, 5, 26) (dual of [(72, 5), 306, 27]-NRT-code) | [i] | ||
| 7 | No linear OOA(254, 72, F2, 6, 26) (dual of [(72, 6), 378, 27]-NRT-code) | [i] | ||
| 8 | No linear OOA(254, 72, F2, 7, 26) (dual of [(72, 7), 450, 27]-NRT-code) | [i] | ||
| 9 | No linear OOA(254, 72, F2, 8, 26) (dual of [(72, 8), 522, 27]-NRT-code) | [i] | ||
| 10 | No digital (28, 54, 72)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |